From 0ddc3cf6c13f85200c25f5b0a680778df41c9b35 Mon Sep 17 00:00:00 2001
From: Maxime MORGE <maxime.morge@univ-lille.fr>
Date: Sun, 2 Mar 2025 23:48:44 +0100
Subject: [PATCH] Add the ring-network game
---
.idea/csv-editor.xml | 48 ++++-
.idea/misc.xml | 1 +
README.md | 92 ++++++++++
data/ring/ring.1.a.csv | 271 +++++++++++++++++++++++++++++
data/ring/ring.1.b.csv | 271 +++++++++++++++++++++++++++++
data/ring/ring.1.c.csv | 271 +++++++++++++++++++++++++++++
data/ring/ring.1.d.csv | 271 +++++++++++++++++++++++++++++
data/ring/ring.2.csv | 271 +++++++++++++++++++++++++++++
figures/ring/ring_accuracy.1.a.csv | 4 +
figures/ring/ring_accuracy.1.b.csv | 4 +
figures/ring/ring_accuracy.1.c.csv | 4 +
figures/ring/ring_accuracy.1.d.csv | 4 +
figures/ring/ring_accuracy.2.csv | 4 +
src/ring/__init__.py | 0
src/ring/belief.py | 10 ++
src/ring/ring.py | 157 +++++++++++++++++
src/ring/ring_experiments.py | 88 ++++++++++
src/ring/ring_player1_draw.py | 20 +++
src/ring/ring_player2_draw.py | 11 ++
19 files changed, 1799 insertions(+), 3 deletions(-)
create mode 100644 data/ring/ring.1.a.csv
create mode 100644 data/ring/ring.1.b.csv
create mode 100644 data/ring/ring.1.c.csv
create mode 100644 data/ring/ring.1.d.csv
create mode 100644 data/ring/ring.2.csv
create mode 100644 figures/ring/ring_accuracy.1.a.csv
create mode 100644 figures/ring/ring_accuracy.1.b.csv
create mode 100644 figures/ring/ring_accuracy.1.c.csv
create mode 100644 figures/ring/ring_accuracy.1.d.csv
create mode 100644 figures/ring/ring_accuracy.2.csv
create mode 100644 src/ring/__init__.py
create mode 100644 src/ring/belief.py
create mode 100644 src/ring/ring.py
create mode 100644 src/ring/ring_experiments.py
create mode 100644 src/ring/ring_player1_draw.py
create mode 100644 src/ring/ring_player2_draw.py
diff --git a/.idea/csv-editor.xml b/.idea/csv-editor.xml
index 854e2cc..52ea3f8 100644
--- a/.idea/csv-editor.xml
+++ b/.idea/csv-editor.xml
@@ -10,21 +10,63 @@
</Attribute>
</value>
</entry>
- <entry key="$PROJECT_DIR$/data/guess/guess.3.csv">
+ <entry key="$PROJECT_DIR$/data/dictator/dictator_setup.csv">
<value>
<Attribute>
<option name="separator" value="," />
</Attribute>
</value>
</entry>
- <entry key="$PROJECT_DIR$/data/guess/guess.4.csv">
+ <entry key="$PROJECT_DIR$/data/ring/ring.1.a.csv">
<value>
<Attribute>
<option name="separator" value="," />
</Attribute>
</value>
</entry>
- <entry key="$PROJECT_DIR$/data/guess/guess.csv">
+ <entry key="$PROJECT_DIR$/data/ring/ring.1.d.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/data/ring/ring.2.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/figures/ring/ring_accuracy.1.a.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/figures/ring/ring_accuracy.1.b.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/figures/ring/ring_accuracy.1.c.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/figures/ring/ring_accuracy.1.d.csv">
+ <value>
+ <Attribute>
+ <option name="separator" value="," />
+ </Attribute>
+ </value>
+ </entry>
+ <entry key="$PROJECT_DIR$/figures/ring/ring_accuracy.2.csv">
<value>
<Attribute>
<option name="separator" value="," />
diff --git a/.idea/misc.xml b/.idea/misc.xml
index cafab9f..db8786c 100644
--- a/.idea/misc.xml
+++ b/.idea/misc.xml
@@ -3,4 +3,5 @@
<component name="Black">
<option name="sdkName" value="Python 3.12" />
</component>
+ <component name="ProjectRootManager" version="2" project-jdk-name="Python 3.12" project-jdk-type="Python SDK" />
</project>
\ No newline at end of file
diff --git a/README.md b/README.md
index 6550bdc..5ef1958 100644
--- a/README.md
+++ b/README.md
@@ -136,6 +136,98 @@ We observe that the performance of LLMs is barely better than that of a random s
+## Ring-network game
+
+A player is rational if she plays a best response to her beliefs.
+She satisfies second-order rationality if she is rational and also believes that others are rational.
+In other words, a second-order rational agent not only considers the best course of action for herself
+but also anticipates how others make their decisions.
+
+The experiments conduct by Kneeland (2015) demonstrate that 93% of the subjects are rational,
+while 71% exhibit second-order rationality.
+
+**[Identifying Higher-Order Rationality](https://doi.org/10.3982/ECTA11983)**
+Terri Kneeland (2015) Published in *Econometrica*, Volume 83, Issue 5, Pages 2065-2079
+DOI: [10.3982/ECTA11983](https://doi.org/10.3982/ECTA11983)
+
+Ring games are designed to isolate the behavioral implications of different levels of rationality.
+To assess players’ first- and second-order rationality, we consider a simplified version of the ring-network game.
+This game features two players, each with two available strategies, where both players aim to maximize their own payoff.
+The corresponding payoff matrix is shown below:
+
+| Player 1 \ Player 2 | Strategy A | Strategy B |
+|---------------------|------------|-----------|
+| **Strategy X** | (15,10) | (5,5) |
+| **Strategy Y** | (0,5) | (10,0) |
+
+
+If Player 2 is rational, she must choose A, as B is strictly dominated (i.e., B is never a best response to any beliefs Player 2 may hold).
+If Player 1 is rational, she can choose either X or Y since X is the best response if she believes Player 2 will play A and
+Y is the best response if she believes Player 2 will play B.
+If Player 1 satisfies second-order rationality (i.e., she is rational and believes Player 2 is rational), then she must play Strategy X.
+This is because Player 1, believing that Player 2 is rational, must also believe Player 2 will play A and
+since X is the best response to A, Player 1 will choose X.
+
+We establish three types of belief:
+- *implicit* belief: The optimal action must be inferred from the natural language description of the payoff matrix.
+- *explicit* belief: This belief focuses on analyzing Player 2’s actions, where Strategy B is strictly dominated by Strategy A.
+- *given* belief: The optimal action for Player 1 is explicitly stated in the prompt.
+
+We set up three forms of belief:
+- *implicit* belief where the optimal action must be deduced from the description
+ of the payoff matrix in natural language;
+- *explicit* belief which analyze actions of Player 2 (B is strictly dominated by A).
+- *given* belief* where optimal action of Player 1is explicitly provided in the prompt;
+
+### Player 2
+
+The models evaluated include Mistral-Small, Llama3, and DeepSeek-R1.
+The results indicate how well each model performs under each belief type.
+
+| Model | Given | Explicit | Implicit |
+|----------------|---------|-----------|----------|
+| mistral-small | 1.00 | 1.00 | 0.87 |
+| llama3 | 1.00 | 0.90 | 0.17 |
+| deepseek-r1 | 0.83 | 0.57 | 0.60 |
+
+Here’s a refined version of your text:
+
+Mistral-Small consistently outperforms the other models across all belief types.
+Its strong performance with implicit belief indicates that it can effectively
+deduce the optimal action from the payoff matrix description.
+Llama3 performs well with a given belief, but significantly underperforms with an implicit belief,
+suggesting it may struggle to infer optimal actions solely from natural language descriptions.
+DeepSeek-R1 shows the weakest performance, particularly with explicit beliefs,
+indicating it may not be a good candidate to simulate rationality as the other models.
+
+### Player 1
+
+In order to adjust the difficulty of taking the optimal
+action, we consider 4 versions of the player’s payoff matrix:
+- a. is the original setup;
+- b. we reduce the difference in payoffs;
+- c. we increase the expected payoff for the incorrect choice Y
+- d. we decrease the expected payoff for the correct choice X.
+
+| **Action \ Opponent Action (version)** | **A(a)** | **B(a)** | | **A(b)** | **B(b)** | | **A(c)** | **B(c)** | | **A(d)** | **B(d)** |
+|----------------------------------------|----------|----------|-|----------|----------|-|----------|----------|-|----------|----------|
+| **X** | 15 | 5 | | 8 | 7 | | 6 | 5 | | 15 | 5 |
+| **Y** | 0 | 10 | | 7 | 8 | | 0 | 10 | | 0 | 40 |
+
+
+
+| Model | | Given (a) | Explicit (a) | Implicit (a) | | Given (b) | Explicit (b) | Implicit (b) | | Given (c) | Explicit (c) | Implicit (c) | | Given (d) | Explicit (d) | Implicit (d) |
+|---------------|-|-----------|--------------|--------------|-|-----------|--------------|--------------|--|-----------|--------------|--------------|--|-----------|--------------|--------------|
+| llama3 | | 0.97 | 1.00 | 1.00 | | 0.77 | 0.80 | 0.60 | | 0.97 | 0.90 | 0.93 | | 0.83 | 0.90 | 0.60 |
+| mistral-small | | 0.93 | 0.97 | 1.00 | | 0.87 | 0.77 | 0.60 | | 0.77 | 0.60 | 0.70 | | 0.73 | 0.57 | 0.37 |
+| deepseek-r1 | | 0.80 | 0.53 | 0.57 | | 0.67 | 0.60 | 0.53 | | 0.67 | 0.63 | 0.47 | | 0.70 | 0.50 | 0.57 |
+
+LLama3 demonstrates the most consistent and robust performance, capable of adapting to various belief types
+and adjusted payoff matrices.
+
+Llama3, while performing well with given and explicit beliefs, faces challenges in implicit belief, particularly in version (d).
+DeepSeek-R1 appears to be the least capable, suggesting it may not be an ideal candidate for modeling second-order rationality.
+
## Authors
Maxime MORGE
diff --git a/data/ring/ring.1.a.csv b/data/ring/ring.1.a.csv
new file mode 100644
index 0000000..74691d1
--- /dev/null
+++ b/data/ring/ring.1.a.csv
@@ -0,0 +1,271 @@
+Iteration,Model,Temperature,Belief,action,rationality,reasoning
+1,llama3,0.7,Given,X,1.0,"""As Player 1, I will always choose X since B is strictly dominated by A. Since Player 2 must be rational and choose A, choosing X maximizes my payoff of 15 points."""
+2,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B and Player 2 must choose B if she is rational, I as Player 1 will choose Y to guarantee a higher payoff (15 points) compared to X, despite the uncertainty of Player 2's choice."""
+3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Considering this, choosing X will result in a payoff of 15, while choosing Y would yield a payoff of 0. Therefore, the rational decision is to choose X to maximize my own payoff."""
+4,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Given this, my best response as Player 1 is to choose Y, which gives me a payoff of 15, compared to choosing X and receiving 0 points."""
+5,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, I will choose X to maximize my payoff. With X, I can receive at least 5 points (with B), but I have a chance to get more with A. By choosing X, I am hedging against the possibility that Player 2 chooses A and maximizing my potential payoff."""
+6,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I choose Y to maximize my payoff. According to the game rules, choosing Y and Player 2's choosing B results in a higher payoff for me (15 points) compared to X and Player 2's choosing B (0 points)."""
+7,llama3,0.7,Given,Y,0.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this, our overall goal is to minimize the number of points we lose (in this case, 5). Choosing Y gives us a chance to win 10 points (if Player 2 chooses B), which is better than losing 15 points with X. Therefore, I decide to choose Y to maximize my payoff."""
+8,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B and Player 2 must choose B if she is rational, I will choose Y to maximize my own payoff. Choosing X would not be optimal as it would result in a low or zero payoff."""
+9,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A and Player 2 must choose A if she is rational, choosing X guarantees the highest possible payoff for me, which is 15 points. Choosing Y results in either 0 or 10 points, which is less than the maximum payoff."""
+10,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Given this, I can maximize my own payoff by choosing Y, which guarantees me 15 points (compared to 5 points if I choose X)."""
+11,llama3,0.7,Given,X,1.0,"""Since Player 2 is rational, she must choose A. Given this, maximizing my own payoff by choosing X will give me a higher score (15 points) compared to choosing Y (0 points or 10 points)."""
+12,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will choose Y to maximize my payoff and receive 15 points."""
+13,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will always choose A. As a rational player, I should maximize my payoff in this situation. Choosing X gives me the highest expected payoff (15 points) while ensuring that I don't receive 0 or 5 points."""
+14,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational (due to the strict domination), my best move as Player 1 would be Y. This maximizes my expected payoff, as I can receive 15 points or 10 points, while minimizing the potential loss."""
+15,llama3,0.7,Given,X,1.0,"""Player 2 must choose A, which is a dominant strategy for them. Given this, I should also choose my dominant strategy X to maximize my payoff and receive the highest reward."""
+16,llama3,0.7,Given,Y,1.0,"""Since Player 2 must be rational and choose B, I as Player 1 will also choose Y to maximize my payoff. I receive 15 points if Player 2 chooses B."""
+17,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, I will choose X to maximize my payoff (15 points) and take advantage of Player 2's predictable move."""
+18,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, it's irrational for Player 2 to choose A. Given that, I should choose Y to maximize my own payoff, as it yields a higher reward than X in the scenario where Player 2 chooses B."""
+19,llama3,0.7,Given,X,1.0,"""I choose X because, since Player 2 must be rational and choose A, I want to maximize my payoff. Choosing X gives me a guaranteed 15 points if Player 2 chooses A, whereas choosing Y would give me 0 points in the same scenario. The other possibilities (Player 2 choosing B) are lower-payoff scenarios for both of us. Therefore, I prioritize the optimal choice to receive 15 points."""
+20,llama3,0.7,Given,Y,1.0,"""I choose Y because Player 2 must choose B if she is rational. With this in mind, choosing Y gives me the highest expected payoff (15 points)."""
+21,llama3,0.7,Given,X,1.0,"""I am Player 1, and my goal is to maximize my payoff. Since B is strictly dominated by A, I know that Player 2 will choose A if she is rational. Given this, choosing X allows me to receive 15 points (compared to 0 or 5 points with Y), which is the highest possible payout for me. Therefore, I rationally choose X."""
+22,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, and A is strictly dominated by B, choosing Y maximizes my own payoff (15 points). I will select Y to maximize my outcome."""
+23,llama3,0.7,Given,X,1.0,"""Since Player 2 is rational, she will choose A. Given that, the optimal choice for me as Player 1 is to choose X, which gives me a payoff of 15 points."""
+24,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I, as Player 1, can exploit this by choosing Y. This gives me a higher payoff (15 points) compared to choosing X, which would result in only 10 points."""
+25,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A as it is a dominant strategy. Given this rational choice, choosing X gives me the maximum payoff of 15 points."""
+26,llama3,0.7,Given,Y,1.0,"""As Player 1, my goal is to maximize my payoff. Since we know that Player 2 will choose B rationally (due to the strict domination), I can ignore the option of A and focus on choosing between X and Y. Given this, the best choice for me is Y, which gives me a reward of 15 points in the optimal case."""
+27,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, it would not be a rational choice for Player 2. Therefore, I expect Player 2 to choose A, which means I can maximize my payoff by choosing X, earning me 15 points."""
+28,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if they are rational, playing Y ensures I maximize my own payoff. Choosing X would result in a 0 point outcome, whereas choosing Y gives me the possibility of earning 15 points."""
+29,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A. Given this, the best option for me as Player 1 is to choose X, which gives me 15 points when combined with Player 2's response."""
+30,llama3,0.7,Given,Y,1.0,"""As Player 2 must choose B if she is rational, I'm not affecting the game's outcome by choosing Y. In fact, choosing X would allow Player 2 to get a higher payoff (5 points) compared to choosing A. Therefore, I maximize my own payoff by choosing Y and receiving 15 points."""
+1,llama3,0.7,Explicit,X,1.0,"""I choose X because it is not strictly dominated by Y. B is strictly dominated by A, which means that regardless of what Player 2 chooses, choosing X beats choosing Y in terms of payoff. Given this information, I prioritize maximizing my own payoff and opt for the dominating strategy."""
+2,llama3,0.7,Explicit,Y,1.0,"""Given that A is strictly dominated by B, choosing Y gives me the opportunity to maximize my payoff. If Player 2 chooses B, I get 15 points, which is better than any other outcome. Therefore, I choose Y to ensure the highest possible return."""
+3,llama3,0.7,Explicit,X,1.0,"""I choose X because it's the dominant strategy, given that B is strictly dominated by A. Since Player 2 would not rationally choose B over A, choosing X guarantees I receive at least 5 points and can't do worse than that. Additionally, there's a possibility to get 15 points if Player 2 chooses A."""
+4,llama3,0.7,Explicit,Y,1.0,"""Since X is strictly dominated by Y (i.e., it will never be chosen regardless of Player 2's move), I choose the dominant strategy Y to maximize my own payoff. I select Y to receive 15 points and avoid the possibility of receiving only 5 or 0 points with an uncertain outcome."""
+5,llama3,0.7,Explicit,X,1.0,"""Player 2's options are either choosing A, which gives Player 1 the highest payoff (15 points), or choosing B, which is strictly dominated by A and only provides 5 points for both players. Since Player 1 wants to maximize their own payoff, choosing X as the dominant strategy makes the most sense."""
+6,llama3,0.7,Explicit,Y,1.0,"""Since option Y (choose 15) is greater than the minimum payoff of 0, I will choose it to maximize my own payoff."""
+7,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X and maximizing the payoff with A (15 points) is my best possible outcome. Choosing Y would result in a lower or equal payoff."""
+8,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I should choose the option that beats both A and B, which is Y. By choosing Y, I ensure a minimum payoff of 5 points and potentially maximize my payoff to 15 points."""
+9,llama3,0.7,Explicit,X,1.0,"""Player 1's best chance to maximize payoff is to choose X. This ensures a guaranteed minimum reward of 5 points (when Player 2 chooses B), and a possible high reward of 15 points (when Player 2 chooses A). Choosing Y would result in a low payoff or even no points, whereas X offers the potential for a higher return."""
+10,llama3,0.7,Explicit,Y,1.0,"""A is strictly dominated by B, which means that given any action from Player 2, choosing Y always gives me a better payoff than choosing X. Therefore, I will choose Y to maximize my payoff."""
+11,llama3,0.7,Explicit,X,1.0,"""I am playing rationally to maximize my own payoff. Since B is strictly dominated by A, I eliminate B from consideration. Between X and Y, Y leads to a pay-off of 0 points while selecting X can potentially lead to a pay-off of 15 points. Therefore, I choose X to maximize my chances of getting the highest possible reward."""
+12,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, playing Y gives me at least 5 points, regardless of Player 2's choice. This guarantees my maximum possible payoff. Choosing X risks getting only 10 points if Player 2 chooses X, while risking much lower or even negative payoffs in other scenarios."""
+13,llama3,0.7,Explicit,X,1.0,"""B is strictly dominated by A, which means choosing B would not be a reasonable option. Since there's no chance I can choose Y and still get the highest payoff, playing X in order to possibly get the 15 points offered by Player 2 when they choose A."""
+14,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it is not strictly dominated by X. Since A is strictly dominated by B, the optimal response to A from Player 1 would be X, which yields a better payoff. However, we have no reason to believe that Player 2 will play A. Therefore, choosing Y provides a non-dominated option for maximizing my own payoff."""
+15,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I should choose the action that gives me more points with either outcome. In this case, choosing X ensures a minimum score of 5 if Player 2 chooses B, while also giving me a chance to get 15 points if Player 2 chooses A."""
+16,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y ensures a higher minimum payoff compared to X. With the possibility of receiving 15 points with Y and only 10 points with X, I will choose Y."""
+17,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I will choose X to maximize my payoff. By doing so, I can guarantee a minimum of 5 points and potentially receive 15 points if Player 2 chooses A. Choosing Y would give me a minimum of 0 points and possibly -5 points."""
+18,llama3,0.7,Explicit,Y,1.0,"""Since option Y is the only one that can result in a positive payoff for Player 1, it is the optimal choice."""
+19,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will never choose B. Therefore, I will maximize my payoff by choosing X to receive the higher points."""
+20,llama3,0.7,Explicit,Y,1.0,"""I'm choosing Y because it is not strictly dominated by X, and there's a possibility to gain more points (15) compared to X. Since A is strictly dominated by B, I eliminate option A for Player 2. I choose Y to have the best chance of maximizing my payoff."""
+21,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I will choose X to maximize my own payoff. Given that Player 2 can either choose A or B, choosing X gives me the highest possible payoff of 15 points, while also giving 5 points to Player 2, regardless of their choice."""
+22,llama3,0.7,Explicit,Y,1.0,"""I'm choosing Y because it has a non-zero payoff, and since A is strictly dominated by B, Y is the better choice regardless of what Player 2 does. This maximizes my expected payoff and ensures I receive at least 5 points."""
+23,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will prefer A over B. Given this, the best option for me as Player 1 is to choose X and ensure a reward of at least 5 points. This choice also gives me the possibility of receiving 15 points if Player 2 chooses A."""
+24,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it is not strictly dominated by X. Options B and A are both strictly dominated by option Y, and since A is strictly dominated by B, I prioritize Y over both."""
+25,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it's not a viable option. Choosing X allows me to receive 15 points if Player 2 chooses A, while avoiding the low payoff options and minimizing potential losses."""
+26,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, the dominant strategy for Player 2 is to choose B. Given this, choosing Y as Player 1 will give me a higher payoff (15 points) compared to choosing X (0 points). Therefore, I will choose Y to maximize my payoff."""
+27,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it's better to choose X. This allows me to maximize my payoff (15 points) and minimize Player 2's reward to 10 points."""
+28,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y will give me the highest payoff (15 points) as long as Player 2 chooses B or X. Choosing X would result in a minimum payoff of 0 points."""
+29,llama3,0.7,Explicit,X,1.0,"""I choose X because it is the dominating action for Player 1. A is stricterly dominated by B, which means that B is never a better option than A. Since player 2's best response to either X or Y would be A, choosing X guarantees the highest payoff for me."""
+30,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, the rational choice is to eliminate A and focus on comparing Y with X. Given this option, choosing Y maximizes my payoff (15 points) as it guarantees a better outcome compared to choosing X (0 points)."""
+1,llama3,0.7,Implicit,X,1.0,"""I choose X because it is the most profitable option for me, as I can earn 15 points if Player 2 chooses A, and this outweighs the potential loss of 5 points if Player 2 chooses B. This strategy allows me to maximize my payoff in an uncertain game."""
+2,llama3,0.7,Implicit,Y,1.0,"""As Player 1, I want to maximize my payoff. The only way to guarantee a higher payoff than 5 points is by choosing Y and having Player 2 choose B, resulting in 15 points for me and 10 points for Player 2. Choosing X would put me at risk of receiving only 0 or 10 points, so I'll play it safe and choose Y."""
+3,llama3,0.7,Implicit,X,1.0,"""I am choosing X because it gives me the highest payoff (15 points) with the largest uncertainty, which makes sense since I want to maximize my reward. In one possible outcome, Player 2 chooses A and I get 15 points, while in another, they choose B and I still get 5 points. This way, I am trying to set myself up for potential maximum gain without drastically reducing my payoff by choosing Y."""
+4,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y gives me the highest payoff (15 points) when Player 2 chooses B, I will choose Y to maximize my own payoff."""
+5,llama3,0.7,Implicit,X,1.0,"""I choose X to maximize my own payoff. Since Player 2's possible choices are A and B, choosing X gives me the highest possible payoff (15 points) if Player 2 chooses A, while minimizing my loss to 5 points if they choose B."""
+6,llama3,0.7,Implicit,Y,1.0,"""I chose Y to maximize my payoff. Since Y gives me a higher payoff against both B and A, I prioritize my chances of receiving 15 points by choosing Y."""
+7,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest payoff (15 points) if Player 2 chooses A, which is a more favorable outcome than choosing Y. This strategy allows me to maximize my own payoff."""
+8,llama3,0.7,Implicit,Y,1.0,"""I chose Y because it gives me the highest possible payoff (15 points) while also resulting in a higher payoff for Player 2 than X would have (10 points compared to 5). Since my goal is to maximize my own payoff, I prefer the certainty of 15 points over the possibility of earning only 5 or 0."""
+9,llama3,0.7,Implicit,X,1.0,"""I chose X because it offers the highest expected payoff, regardless of Player 2's choice. If Player 2 chooses A, I will receive 15 points. If Player 2 chooses B, I will still get at least 5 points. This is in contrast to choosing Y, which would give me a lower expected payoff and leave my result dependent on Player 2's move."""
+10,llama3,0.7,Implicit,Y,1.0,"""I'm choosing Y because it gives me the highest payoff potential, with a chance to earn 15 points. Given that Player 2's options are B and A, the probability of them choosing B is higher since they would also gain more points compared to choosing A. By choosing Y, I'm maximizing my chances of getting the highest payoff."""
+11,llama3,0.7,Implicit,X,1.0,"""I am choosing action X as it provides the maximum payoff for me, 15 points. In the previous scenarios (Y and A, Y and B), Player 2 receives a higher payoff than me. Therefore, I prioritize maximizing my own payoff by choosing X."""
+12,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it has the highest potential payoff for me (15 points) and is a dominant strategy given my goal to maximize my own payoff. Player 2's optimal response to Y would be B, which yields 10 points for them but still results in a higher overall payoff for me."""
+13,llama3,0.7,Implicit,X,1.0,"""I am Player 1, and my goal is to maximize my payoff. Choosing X gives me the highest expected outcome (15 points) while minimizing losses in case Player 2 chooses B. With X, I get at least 5 points, whereas choosing Y may leave me with no points if Player 2 picks A."""
+14,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y can give me up to 15 points, I choose Y as my action. This is the maximum potential payoff for me according to the game rules."""
+15,llama3,0.7,Implicit,X,1.0,"""As Player 1, my objective is to maximize my own payoff. Choosing X gives me the highest possible payout in the case where Player 2 chooses A, which makes it a more attractive option."""
+16,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y would give me a higher payoff (15 points) compared to choosing X (-5 points considering the minimum return), I choose Y as my optimal move."""
+17,llama3,0.7,Implicit,X,1.0,"""I'm choosing X because it has a higher payoff potential against both possible moves by Player 2. If Player 2 chooses A, I'll get 15 points, which is the highest reward available in this game. Even if Player 2 chooses B, I'll still get 5 points, which is better than the 0 points I would get with a Y move."""
+18,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it offers a possible maximum payoff of 15 points, which is the best option. This choice also provides a backup 5-point payoffs with Player 2's A move. Although choosing X and getting 10 points seems attractive, I'm less certain about this outcome due to limited information about Player 2's strategy. Therefore, I prefer the safer bet of Y."""
+19,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest expected payoff. Since Player 2's moves (A and B) are equally likely, I should choose the option that results in a higher expected value. In this case, choosing X with a 50% chance of receiving 15 points or 5 points is more desirable than choosing Y with a 100% chance of receiving 0 points. My rational choice is therefore to play X."""
+20,llama3,0.7,Implicit,Y,1.0,"""I chose Y because it has the highest potential reward (15 points) and a decent average payoff (10 points). Although X has a non-zero chance to receive 10 points, it also has a risk of receiving 0 points. By choosing Y, I minimize my loss and maximize my expected gain."""
+21,llama3,0.7,Implicit,X,1.0,"""As Player 1, my goal is to maximize my payoff. Choosing X gives me a guaranteed 15 points if Player 2 chooses A, which is the highest possible outcome for me. While choosing Y could potentially give me 10 points if Player 2 chooses B, it also risks giving Player 2 5 points and getting 0 points myself (in case they choose A). Therefore, I choose X to ensure a high payoff."""
+22,llama3,0.7,Implicit,Y,1.0,"""Given the game rules, choosing Y maximizes my payoff regardless of Player 2's move. If they choose B, I get 15 points and win. If they choose A, I still get at least as much as them (5 points). Therefore, choosing Y ensures a minimum gain of 5 points while giving me the potential to earn more."""
+23,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest payoff against both possible moves from Player 2. If they choose A, I get 15 points. If they choose B, I still get a decent 5 points."""
+24,llama3,0.7,Implicit,Y,1.0,"""I'm choosing Y to maximize my own payoff. Since the outcome is uncertain, I'll opt for the action that offers me the highest potential reward, which is 15 points in this case."""
+25,llama3,0.7,Implicit,X,1.0,"""As Player 1, I want to maximize my payoff. Choosing X gives me a possibility to receive 15 points if Player 2 chooses A, which is the highest possible payoff. While choosing Y only guarantees a minimum of 0 points. With the potential for higher reward with action X, it seems like the more rational choice."""
+26,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y potentially gains me the highest payoff (15 points), I will choose Y to maximize my own payoff."""
+27,llama3,0.7,Implicit,X,1.0,"""I will choose X because it provides me with the highest possible payoff (15 points) while not giving Player 2 too much advantage. With X, I have a good chance of getting more points than Player 2."""
+28,llama3,0.7,Implicit,Y,1.0,"""Since the only way to get a higher payoff (15) is by choosing Y, I will choose Y to maximize my payoff."""
+29,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me a higher expected payoff than Y. If Player 2 chooses A, I get 15 points, which is the highest possible payout. Even if Player 2 chooses B, I still get 5 points by choosing X, whereas choosing Y would only result in 0 or 10 points."""
+30,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it has the potential to give me the highest payoff (15 points), and I don't want to risk getting 0 points if Player 2 chooses B. Additionally, choosing Y gives me a 50% chance of getting 5 points if Player 2 chooses A, which is better than the alternative."""
+1,mistral-small,0.7,Given,X,1.0,"""Player 2 is rational and will choose action 'A' to maximize her payoff. Since choosing 'X' gives me the highest payoff (15 points) when Player 2 chooses 'A', I will play X'!"""
+2,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Therefore, to maximize my payoff, I should choose Y, which gives me 15 points instead of 10 points if I chose X."""
+3,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, the best strategy for me (Player 1) to maximize my payoff is to choose X, which yields 15 points."""
+4,mistral-small,0.7,Given,Y,1.0,"""My best strategy is to maximize my own payoff. Considering that Player 2 choosing B is strictly dominant over choosing A. If player 2 chooses B then I will win 15 points whereas if player 2 chooses A, then with X or Y I get equal value either 0 (which is not optimal) or 5 points respectively which is less than the payoff in case player choosies B."""
+5,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Choosing X myself guarantees a higher payoff (15 points) compared to choosing Y (0 points)."""
+6,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational, she will choose B since A is strictly dominated by B. Choosing Y maximizes my payoff (15 points) compared to choosing X (0 points)."""
+7,mistral-small,0.7,Given,X,1.0,"""Given that B is strictly dominated by A and assuming Player 2 is rational, Player 2 will choose A. Therefore, choosing X maximizes my payoff (15 points) compared to choosing Y, which would yield 0 points if Player 2 chooses A."""
+8,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Therefore, I should choose Y to maximize my payoff (15 points) rather than choosing X (0 points)."""
+9,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Given this, choosing X yields a higher payoff (15 points) compared to choosing Y (0 points)."""
+10,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. Therefore, choosing Y ensures I get the maximum payoff of 15 points instead of 10 if I chose X."""
+11,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff, which is 15 points."""
+12,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational, she will choose B to maximize her own payoff. Therefore, if I choose Y and Player 2 chooses B then that will provide me my the maximum score of 15 points. Choosing X would lead to either 0 or 10 points based on both situations."""
+13,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational, she will choose the strategy 'A' to gain more points. If we look at Player 1's perspective, selecting Y leads to a lower payoff no matter what (0 if A and 10 if B in the case of Y). Therefore choosing X and hoping for an opposing move A from Player Two yields the max returns of 15"""
+14,mistral-small,0.7,Given,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'B', I get 15 points. If Player 2 chooses 'A', I still get 5 points, which is better than the outcomes from choosing 'X'. Since 'A' is strictly dominated by 'B', a rational Player 2 would choose 'B', making my best choice 'Y' to ensure at least 10 points."""
+15,mistral-small,0.7,Given,X,1.0,"""I chose 'X' because regardless of Player 2's choice, it maximizes my payoff. If Player 2 chooses 'A', I get 15 points; if Player 2 chooses 'B', I still get 5 points."""
+16,mistral-small,0.7,Given,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'B', I get 15 points. If Player 2 chooses 'A', I still get 5 points, which is better than the 0 points I would get with 'X'B or 'A' ."""
+17,mistral-small,0.7,Given,X,1.0,"""Player 2 is rational and will therefore choose A to maximize their own payoff. Given this, choosing X guarantees me 15 points."""
+18,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B (since A is strictly dominated by B), the best strategy for me as Player 1 is to choose Y. This maximizing my payoff since if I receive 5 from X , but a choice of y nets me 15"""
+19,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose A, I should maximize my payoff by choosing X. If Player 1 chooses Y (if I am irrational), then Player 1 gets worse-off outcome as explained in the game."""
+20,mistral-small,0.7,Given,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 is rational, they will choose 'B' because 'A' is strictly dominated by 'B'. Therefore, the likely outcome would be that I receive 15 points."""
+21,mistral-small,0.7,Given,Y,0.0,"""By choosing Y, I can either receive 0 points (if Player 2 chooses A, a rational decision) or 10 points if Player 2 irrationally choeses B. However, my best payoff is guaranteed when i play strategically and expect Player 2 to choose rationally."""
+22,mistral-small,0.7,Given,Y,1.0,"""By choosing Y and if Player 2 is rational, she will choose B because it strictly dominates A. This will give me the best possible payoff of 15 points"""
+23,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and needs to choose A (because B is strictly dominated by A), I can secure the highest payoff by choosing X. This gives me 15 points, which is the maximum possible payoff."""
+24,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and chooses B, the best response for maximizing my payoff would be to choose Y. If I were to choose X, I'd receive 0 points but this time we should be choosing a strategy to maximize own payoff as per instruction."""
+25,mistral-small,0.7,Given,X,1.0,"""I chose X because it maximizes my payoff regardless of Player 2's choice. If Player 2 is rational, they will choose A, and I will receive 15 points. If Player 2 chooses B for some reason, I still get 5 points, which is better than the outcomes from choosing Y."""
+26,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Given this, my best strategy is to choose Y to maximize my own payoff, which would be 15 points."""
+27,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Choosing Y ensures that if Player 2 chooses A, I receive the same payoff as when choosing X, but avoiding any potential loss that could come from Y+A. """
+28,mistral-small,0.7,Given,Y,1.0,"""I opted for Y because, given that Player 2 is rational and chooses B, selecting Y will yield the highest payoff of 15 points for me."""
+29,mistral-small,0.7,Given,X,1.0,"""As Player 1, I need to maximize my own payoff. Since Player 2 is rational and will choose 'A' if possible (since 'B' is strictly dominated), choosing 'X' gives me the highest possible score of 15 points in this scenario."""
+30,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Therefore, choosing Y maximizes my payoff at 15 points."""
+1,mistral-small,0.7,Explicit,X,1.0,"""I chose X because it offers a higher payoff regardless of what Player 2 chooses. If Player 2 chooses A, I get 15 points (the highest possible score), and if Player 2 chooses B, I still get 5 points."""
+2,mistral-small,0.7,Explicit,Y,1.0,"""Since Player 2 can always get a higher payoff by choosing B regardless if I choose X or Y, and the highest reward that I can be certain to achieve is choosing Y (either 15 points from Y(B) or 5 points from Y(A)), this is my move."""
+3,mistral-small,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points, and if Player 2 chooses B, I still get 5 points, which is better than the possible outcomes from choosing Y."""
+4,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2 knows 'A' is strictly dominated by 'B', they are likely to choose 'B'. By choosing 'Y,' I maximize my payoff, receiving 15 points if Player 2 chooses 'B'. If Player 2 chooses 'A' instead, I still get a decent amount of 5 points. However, there is a chance that with the given condition being strictly dominiated, they'll always choose B. Hence I will go for option Y."""
+5,mistral-small,0.7,Explicit,X,1.0,"""Choosing 'X' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if Player 2 chooses B, I still get a higher score than with Y. Since choosing B does not help player 2 in their best outcome in case i have chosen X. """
+6,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2 knows that A is strictly dominated by B, it only makes rational sense for Player 1 to choose 'Y'. This choice will result in the highest possible score if P2 chooses rationally. If Player 2 chooses B, I get 15 points."""
+7,mistral-small,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, Player 2 will never choose B. Choosing X gives me 15 points against A and 5 points against B. However, choosing Y will only give me 0 against A but 10 points against B. Since B is not a viable option for Player 2, it maximizes my points to stick with the potential higher point of 10"""
+8,mistral-small,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B for Player 2, Player 2 will never choose A. Therefore, the possible outcomes for Player 1 reduce to choosing between receiving 15 points (if I pick Y and player 2 picks B) versus 0 or 10 . The highest gain comes from picking 'Y'."""
+9,mistral-small,0.7,Explicit,X,1.0,"""Since Player 2's strategy B is strictly dominated by A, we can assume that Player 2 will choose A. Choosing X guarantees a higher payoff (15 points) compared to choosing Y (0 points)."""
+10,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2 will choose between A and B, the information states that A is strictly dominated by B. This means Player 2 can always prefer choosing B assuming they are rational to maximize their payoffs (1 point more). Therefore, my highest potential outcome comes from selecting Y as this maximizes my points based on Player 2's optimal choice."""
+11,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A for Player 2, Player 2 should never choose B. Therefore, the most rational strategy for me as Player 1 is to choose X in order to maximize my payoff."""
+12,mistral-small,0.7,Explicit,Y,1.0,"""Since Player 1 receives less when playing X regardless of the other player’s strategies. Playing Y maximizes Player 1's potential payoff, which is higher in combination scenarios."""
+13,mistral-small,0.7,Explicit,X,1.0,"""Choosing 'X' maximizes my payoff in both scenarios. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points. Since 'B' is strictly dominated by 'A', Player 2 should ideally choose 'A', leading to the best possible outcome for me."""
+14,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff for me. If Player 2 chooses 'A', I still get 5 points, which is better than the potential outcomes from choosing 'X'."""
+15,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will likely choose A to maximize their own payoff. Therefore, choosing X ensures that I get the highest possible points (15) if Player 2 chooses A."""
+16,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points; if Player 2 chooses A, I get only 5 but avoid the risk of getting 0 if choosing X."""
+17,mistral-small,0.7,Explicit,X,1.0,"""I chose 'X' because it maximizes my potential payoff. If Player 2 chooses A, I get 15 points, and if Player 2 chooses B, I still get 5 points. Since B is strictly dominated by A for Player 2, Player 2 might prefer choosing A over B."""
+18,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me. Even if Player 2 chooses 'A', I still get 5 points, which is better than the 0 points I would get from choosing 'X' regardless of Player 2's choice."""
+19,mistral-small,0.7,Explicit,X,1.0,"""Given that Player 2's strategy B is strictly dominated by A, it is rational for me to choose X. Choosing X maximizes the payoff regardless of what Player 2 does next, as it yields either a maximum score of 15 points or a moderate gain of 5 points."""
+20,mistral-small,0.7,Explicit,Y,1.0,"""I chose 'Y' because regardless of Player 2's choice, it maximizes my payoff. If Player 2 chooses 'B', I get 15 points, and if Player 2 chooses 'A', I still get 5 points. Both outcomes are better than the potential gains from choosing 'X'."""
+21,mistral-small,0.7,Explicit,X,1.0,"""Given the rules of the game and the fact that B is strictly dominated by A, Player 2 will likely choose A to maximize their own payoff. If Player 1 chooses X, they earn a higher payout (between 5 and 15 points) as compared to choosing Y."""
+22,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff for me. Even if Player 2 chooses 'A', I still get 5 points, which is better than the minimum of choosing 'X'."""
+23,mistral-small,0.7,Explicit,X,1.0,"""Given that Player 2 knows B is strictly dominated by A, choosing Y will result in more points for Player 2 compared to choosing X. Since I am aiming to maximize my own payoff and avoid giving a chance for the worst case scenario (Player 1 gains the least) I will choose X regardless of Player's 2 choice - 15 points is better than 0."""
+24,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in both scenarios. If Player 2 chooses B, I get 15 points, and if Player 2 chooses A, I still get 5 points. Choosing 'X', on the other hand, can lead to receiving 0 points if Player 2 chooses B."""
+25,mistral-small,0.7,Explicit,X,1.0,"""Since Player 2's strategy B is strictly dominated by A, I assume that a rational player will never choose 'B.' Given that scenario, the best outcome for me would be to choose 'X' which maximizes my payoff of getting 15 points."""
+26,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's action. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me in this scenario (as opposed to choosing X). However if Player 2 chooses A , and i choose Y i will receive at least as much ( 5) as by choosing x"""
+27,mistral-small,0.7,Explicit,X,1.0,"""Player 1 should choose X because it maximizes the payoff regardless of Player 2's choices. If Player 2 chooses A, I get 15 points. If Player 2 chooses B, I still only lose out on some points (getting 5). Since Y results in a higher potential loss depending on what Player 2 does, X is the more rational strategic choice to maximize personal payoff."""
+28,mistral-small,0.7,Explicit,Y,1.0,"""I chose 'Y' because it maximizes my potential payoff. If Player 2 chooses B, I get 15 points, which is the highest score possible for me in this game."""
+29,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A for Player 2, it is rational to assume that Player 2 will choose A to maximize their own payoff. Therefore, choosing X maximizes my own payoff when Player 2 chooses A."""
+30,mistral-small,0.7,Explicit,Y,1.0,"""Player 1 should choose 'Y' because this strategy maximizes the payoff in both scenarios. If Player 2 chooses B, I'll get 15 points (the highest possible score), and if Player 2 chooses A I'll still get 5 points (which is better than choosing X."""
+1,mistral-small,0.7,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of what Player 2 chooses. If Player 2 chooses A, I get 15 points; if Player 2 chooses B, I still get 5 points. In contrast, choosing Y only guarantees me a maximum of 10 points (if Player 2 chooses B) with the potential for receiving zero otherwise."""
+2,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me in this game."""
+3,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my potential payoff. If Player 2 chooses 'A', I get 15 points, which is the highest possible payoff. Even if Player 2 chooses 'B', I still get 5 points, which is better than the lowest payoffs from choosing 'Y'."""
+4,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' allows me to maximize my payoff in two out of the four possible scenarios. Specifically, I get 15 points if Player 2 chooses B and 5 points if Player 2 chooses A."""
+5,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my minimum payoff. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points. Choosing 'Y' has the risk of getting 0 points if Player 2 chooses 'A'"""
+6,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get 15 points, which is the highest possible score for me. Even if Player 2 chooses A, I still get 5 points, which is better than choosing X."""
+7,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points."""
+8,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I maximize my minimum payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff. If Player 2 chooses 'A', I still get 5 points, which is better than the minimum payoff of 0 points if I choose 'X' and Player 2 chooses 'B'."""
+9,mistral-small,0.7,Implicit,X,1.0,"""I chose X because it provides a higher payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if Player 2 chooses B, I still get 5 points."""
+10,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff for me. Even if Player 2 chooses 'A', I still get 5 points, which is better than choosing 'X' where my maximum payoff is only 10 points."""
+11,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my payoff in one scenario and provides a guarantee better than choosing either way ('Y')"""
+12,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get 15 points, which is the highest possible score for me. Even if Player 2 chooses A, I still get 5 points, which is better than the minimum guarantee of only 0 from an X-B matchup."""
+13,mistral-small,0.7,Implicit,X,1.0,"""I chose X because it offers the highest possible payoff of 15 points if Player 2 chooses A, even though it also presents the risk of receiving only 5 points. The alternative strategy Y can result in either zero or ten points."""
+14,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me. Even if Player 2 chooses 'A', I still get 5 points, which is better than the guaranteed 0 or 10 points from choosing 'X'."""
+15,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my potential payoff. If Player 2 chooses 'A', I get 15 points, which is the highest possible score for me in this game. Even if Player 2 chooses 'B', I still get 5 points, which is better than the outcomes of choosing 'Y'."""
+16,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me. Even if Player 2 chooses 'A', I still get 5 points, which is not the worst outcome."""
+17,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' allows me to maximize my payoff in at least one scenario where Player 2 chooses 'A.' This will ensure a maximum possible payoff of 15 points for me."""
+18,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff for me. Even if Player 2 chooses 'A', I still get 5 points, which is not the worst outcome."""
+19,mistral-small,0.7,Implicit,X,1.0,"""Choosing X maximizes my potential payoff. If Player 2 chooses A, I get 15 points, which is the highest possible score for me in any scenario."""
+20,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me. Even if Player 2 chooses 'A', I still get 5 points, which is better than the minimum of 0 points when choosing X."""
+21,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my possible payoff. If Player 2 chooses 'A', I get 15 points, which is the highest score I can achieve. Even if Player 2 chooses 'B', I still get 5 points, which is better than the minimum 0 points that could occur with choice Y"""
+22,mistral-small,0.7,Implicit,Y,1.0,"""I chose 'Y' because it offers the possibility to receive the highest number of points (15). In this case, Player 2's choice is unpredictable (they could choose B or A); choosing 'Y' maximizes my potential payoff."""
+23,mistral-small,0.7,Implicit,X,1.0,"""Choosing X maximizes my payoff in both scenarios. If Player 2 chooses A, I get 15 points, and if Player 2 chooses B, I still get 5 points. Choosing Y results in either 0 or 10 points depending on Player 2's choice."""
+24,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I have the potential to gain more points than by choosing 'X'. If Player 2 chooses 'B', I get the maximum payoff of 15 points. Even if Player 2 chooses 'A', I still receive a decent reward (5 points), compared to possible rewards when I select 'X' which include either zero and ten."""
+25,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my payoff in most scenarios. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points."""
+26,mistral-small,0.7,Implicit,Y,1.0,"""I chose Y because it maximizes my payoff regardless of what Player 2 chooses. If Player 2 chooses B, I get 15 points, and if they choose A, I still get 5 points. Choosing X gives a maximum payoff of 10 points which is less compared to Y"""
+27,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points. In contrast, choosing 'Y' results in either 0 or 10 points depending on Player 2's move."""
+28,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible score for me in this game. Even if Player 2 chooses 'A', I still get 5 points, which is better than the worst-case scenario of choosing 'X'."""
+29,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my possible payoff. If Player 2 chooses A, I receive 15 points, which is the highest score available for me."""
+30,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I can secure either 5 points if Player 2 chooses A, or 15 points if Player 2 chooses B. This strategy maximizes my potential payoff."""
+1,deepseek-r1,0.7,Given,Y,0.0,"""Because I determine that Player 2 will choose 'A' due to B being dominated, so choosing Y yields me 10 points instead of X which gives only 5."""
+2,deepseek-r1,0.7,Given,Y,1.0,
+3,deepseek-r1,0.7,Given,X,1.0,"""I choose X because it leads to a higher payoff if Player 2 chooses A."""
+4,deepseek-r1,0.7,Given,Y,1.0,
+5,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X because Player 2 will rationally choose A, and if both players know that B is dominated by A, Player 1 will get a higher payoff with X."""
+6,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B due to A being dominated by B. Therefore, choosing Y leads to a better payoff for me."""
+7,deepseek-r1,0.7,Given,X,1.0,"""Player 1 chooses X to maximize their payoff given that Player 2 will choose A."""
+8,deepseek-r1,0.7,Given,Y,1.0,"""I choose Y because if Player 2 chooses B due to it being optimal, then I get a payoff of 15."""
+9,deepseek-r1,0.7,Given,X,1.0,
+10,deepseek-r1,0.7,Given,Y,1.0,
+11,deepseek-r1,0.7,Given,Y,0.0,"""Since Player 2 will choose A, if I play X against A I get 15 points, but if I choose Y against A I only get 0. So choosing X is better."""
+12,deepseek-r1,0.7,Given,Y,1.0,"""Since Player 2 will choose B if she's rational, and given my options against that, Y gives me the highest payoff (15 points) compared to X which can give as low as 0."""
+13,deepseek-r1,0.7,Given,X,1.0,
+14,deepseek-r1,0.7,Given,X,0.0,
+15,deepseek-r1,0.7,Given,X,1.0,"""Player 2 will choose A because B is dominated."""
+16,deepseek-r1,0.7,Given,X,0.0,"""Player 2 will choose B since A is dominated by B. Therefore, if Player 1 chooses X, they get a payoff of 0. However, choosing Y results in higher payoffs either way."""
+17,deepseek-r1,0.7,Given,Y,0.0,
+18,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B as it strictly dominates all her options except when I chose X."""
+19,deepseek-r1,0.7,Given,X,1.0,
+20,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B as it strictly dominates A. So, choosing Y gives me the highest payoff."""
+21,deepseek-r1,0.7,Given,X,1.0,"""I choose X because that gives me the highest points possible if Player 2 plays optimally."""
+22,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B, so if I play Y against B, that gives me the highest points (15)."""
+23,deepseek-r1,0.7,Given,X,1.0,"""Player 2 will choose A, so X is the optimal response."""
+24,deepseek-r1,0.7,Given,Y,1.0,"""Since Player 2 will always choose B, I can safely select Y and receive 15 points."""
+25,deepseek-r1,0.7,Given,X,1.0,"""Player 2 will choose A due to dominated strategy B, so choosing X guarantees a higher payoff."""
+26,deepseek-r1,0.7,Given,X,0.0,"""Since B is the only rational choice for Player 2, I should play X to maximize my points."""
+27,deepseek-r1,0.7,Given,X,1.0,"""I choose X because it's the best option when Player 2 selects A."""
+28,deepseek-r1,0.7,Given,Y,1.0,
+29,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X because it gives a higher payoff when paired with Player 2's A. If Player 1 chooses Y, the minimum payoff is 0, which is worse than choosing X."""
+30,deepseek-r1,0.7,Given,Y,1.0,"""..."""
+1,deepseek-r1,0.7,Explicit,X,1.0,
+2,deepseek-r1,0.7,Explicit,Y,1.0,"""Choosing Y maximizes my payoff if Player 2 chooses B, and it's safer than X which gives only 10 points in that scenario."""
+3,deepseek-r1,0.7,Explicit,X,1.0,"""..."""
+4,deepseek-r1,0.7,Explicit,X,0.0,"""A is strictly dominated by B, so I choose X."""
+5,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it leads to a higher payoff when the opponent chooses B, and since A dominates B, I anticipate that Player 2 will choose A."""
+6,deepseek-r1,0.7,Explicit,Y,1.0,"""I should play Y because it gives better outcomes when Player 2 plays B, and since X is dominated by B which might not be the best choice for me."""
+7,deepseek-r1,0.7,Explicit,X,1.0,"""..."""
+8,deepseek-r1,0.7,Explicit,Y,1.0,"""Choosing Y maximizes my potential gains against Player 2's strategies."""
+9,deepseek-r1,0.7,Explicit,Y,0.0,"""I wish to maximize my own payoff, so I will choose Y because it has the highest potential when Player 2 selects B."""
+10,deepseek-r1,0.7,Explicit,X,0.0,"""Since Player 2's dominated strategy is 'B', I choose X to maximize my points if they play B and switch to Y only if necessary."""
+11,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should choose X because it dominates Y when Player 2 selects A or B, given that A is strictly preferred over B for Player 2."""
+12,deepseek-r1,0.7,Explicit,Y,1.0,"""..."""
+13,deepseek-r1,0.7,Explicit,Y,0.0,"""..."""
+14,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y because I want to maximize my own payoff without knowing Player 2's strategy."""
+15,deepseek-r1,0.7,Explicit,Y,0.0,
+16,deepseek-r1,0.7,Explicit,X,0.0,"""Since Player 2 will choose B given that it is their dominant strategy, I should focus on maximizing my score when Player 2 chooses B. Looking at the payoff table, choosing X gives me 10 points in this scenario."""
+17,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because I think Player 2 will opt for A to capitalize on the fact that B is strictly dominated by A."""
+18,deepseek-r1,0.7,Explicit,X,0.0,"""Player 1 should choose X because, when Player 2 chooses B, Player 2 gets more points by choosing B, so Player 1 can maximize their own payoff without affecting the other player's gain."""
+19,deepseek-r1,0.7,Explicit,X,1.0,
+20,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y because it offers the potential for higher payoffs against Player 2's likely optimal strategy."""
+21,deepseek-r1,0.7,Explicit,X,1.0,
+22,deepseek-r1,0.7,Explicit,X,0.0,"""Player 1 should choose X to maximize their minimum payoff when Player 2 is choosing optimally between A and B."""
+23,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it offers a higher potential payoff when Player 2 chooses B."""
+24,deepseek-r1,0.7,Explicit,X,0.0,
+25,deepseek-r1,0.7,Explicit,X,1.0,
+26,deepseek-r1,0.7,Explicit,X,0.0,"""I choose X because it gives a better payoff when Player 2 chooses B, despite worse payoffs in other scenarios."""
+27,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it can yield higher points depending on Player 2's choice."""
+28,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y to maximize their own payoff against any strategy Player 2 might use."""
+29,deepseek-r1,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff when Player 2 chooses B."""
+30,deepseek-r1,0.7,Explicit,Y,1.0,
+1,deepseek-r1,0.7,Implicit,Y,0.0,
+2,deepseek-r1,0.7,Implicit,X,0.0,"""Optimal play is to always choose X to ensure a minimum of 5 points against Player 2's Y."""
+3,deepseek-r1,0.7,Implicit,Y,0.0,"""Because choosing Y gives higher points, especially if Player 2 picks B."""
+4,deepseek-r1,0.7,Implicit,Y,1.0,
+5,deepseek-r1,0.7,Implicit,Y,0.0,
+6,deepseek-r1,0.7,Implicit,Y,1.0,"""To maximize my own payoff, I should choose Y since it gives me the highest points possible when Player 2 chooses B."""
+7,deepseek-r1,0.7,Implicit,X,1.0,"""Player 1 should choose X to maximize their own payoff regardless of Player 2's choice."""
+8,deepseek-r1,0.7,Implicit,Y,1.0,"""To maximize my payoff, I should choose Y when Player 2 chooses B. However, considering that Player 1’s goal is solely to maximize their own points, and if I play X instead of Y against a B from Player 2 leads me to get 0 points."""
+9,deepseek-r1,0.7,Implicit,Y,0.0,"""I should choose Y as it appears better in both scenarios when Player 2 chooses B. If I pick X, Player 2 can pick A and get more points. Alternatively, if Player 1 picks Y, Player 2 still may not do very well but perhaps this is better."""
+10,deepseek-r1,0.7,Implicit,Y,1.0,"""I choose Y based on the highest possible points when Player 2 chooses B."""
+11,deepseek-r1,0.7,Implicit,X,1.0,"""(No reasoning needed)"""
+12,deepseek-r1,0.7,Implicit,Y,1.0,"""I choose Y based on the first scenario where both players get 15 and 10 points when I choose Y, which seems like a good outcome."""
+13,deepseek-r1,0.7,Implicit,X,1.0,"""The optimal choice is X to maximize the minimum possible outcome."""
+14,deepseek-r1,0.7,Implicit,Y,1.0,
+15,deepseek-r1,0.7,Implicit,Y,0.0,
+16,deepseek-r1,0.7,Implicit,Y,1.0,"""I choose Y because it offers higher individual points against both Player 2's options."""
+17,deepseek-r1,0.7,Implicit,Y,0.0,"""I want to maximize my points regardless of Player 2's choices."""
+18,deepseek-r1,0.7,Implicit,Y,1.0,
+19,deepseek-r1,0.7,Implicit,X,1.0,
+20,deepseek-r1,0.7,Implicit,X,0.0,"""I think Player 2 might choose B because they prefer higher points, so choosing X against them will give me some points."""
+21,deepseek-r1,0.7,Implicit,Y,0.0,"""I think choosing Y gives me the best points when Player 2 chooses B."""
+22,deepseek-r1,0.7,Implicit,X,0.0,"""(Your brief reasoning here."""
+23,deepseek-r1,0.7,Implicit,Y,0.0,"""I will choose Y to maximize my points based on Player 2's potential choices."""
+24,deepseek-r1,0.7,Implicit,Y,1.0,"""..."""
+25,deepseek-r1,0.7,Implicit,X,1.0,"""Player 1 should choose X to maximize their payoff since choosing X gives the highest possible score when Player 2 chooses B."""
+26,deepseek-r1,0.7,Implicit,Y,1.0,"""I choose Y to maximize points whenever possible."""
+27,deepseek-r1,0.7,Implicit,Y,0.0,"""I reason that choosing Y is the dominant strategy because it guarantees at least 5 points for Player 2 in all scenarios, maximizing my minimum gain."""
+28,deepseek-r1,0.7,Implicit,X,0.0,
+29,deepseek-r1,0.7,Implicit,X,1.0,
+30,deepseek-r1,0.7,Implicit,Y,1.0,"""I need to maximize my own payoff, so choosing Y gives me 15 points if Player 2 chooses B, which seems like the best outcome."""
diff --git a/data/ring/ring.1.b.csv b/data/ring/ring.1.b.csv
new file mode 100644
index 0000000..5401864
--- /dev/null
+++ b/data/ring/ring.1.b.csv
@@ -0,0 +1,271 @@
+Iteration,Model,Temperature,Belief,action,rationality,reasoning
+1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A and Player 2 must choose A if she is rational, I will choose X to maximize my own payoff."""
+2,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Given this information, choosing Y maximizes my payoff, as it yields the highest possible points in both scenarios with Player 2 playing B."""
+3,llama3,0.7,Given,Y,0.0,"""As Player 2 is rational and B is strictly dominated by A, she will choose A. Given that Player 2 will choose A, choosing Y gives me the highest payoff of 8 points, while choosing X would give me only 7 points."""
+4,llama3,0.7,Given,Y,1.0,"""Since Player 2 is rational and must choose B, my goal is to maximize the payoff. Y gives me a higher payoff (8 points) than X (7 points), so I choose Y."""
+5,llama3,0.7,Given,Y,0.0,"""Since Player 2 will choose A, which is strictly dominated by B, I can consider only the moves where Player 2 chooses B. Then, considering the remaining moves, I'd get a higher payoff (8 points) if I chose Y and Player 2 chose B compared to choosing X and getting 7 points. Therefore, I'd rather choose Y as my rational move."""
+6,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational (A being strictly dominated by B), my best response as Player 1 is to also choose Y, as it gives me the higher payoff of 8 points when paired with Player 2's chosen B."""
+7,llama3,0.7,Given,X,1.0,"""I am Player 1, and my goal is to maximize my own payoff. Given that Player 2 will choose A rationaly (since B is strictly dominated by A), I have two options: choosing X or Y. Since Player 2 will choose A regardless of what I do, the outcome will depend only on my choice. Between the two options, X yields a higher payout for me when paired with either A or B, at 8 and 7 points respectively. Therefore, I will choose X to maximize my payoff."""
+8,llama3,0.7,Given,X,0.0,"""Since A is strictly dominated by B and Player 2 must choose B if she is rational, I will choose X to maximize my payoff. By choosing X, I get a guaranteed 7 points (or even 8 points if Player 2 chooses A), which is better than the uncertain payoff of 8 or 5 points from choosing Y."""
+9,llama3,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, they will always choose A. In this case, choosing X gives me a higher payoff (8 points) than choosing Y (7 points), so I will choose X to maximize my own payoff."""
+10,llama3,0.7,Given,X,0.0,"""Since A is strictly dominated by B and Player 2 must choose B if he is rational, I can assume that Player 2 will always play B. Given this information, choosing X gives me the highest payoff of 8 points in the scenario where Player 2 plays A, whereas choosing Y would result in a lower payoff of 7 points."""
+11,llama3,0.7,Given,X,1.0,"""I choose X because Player 2 must choose A rationally, and choosing X gives me the highest payoff (8 points) compared to choosing Y (7 points). Given that B is strictly dominated by A, Player 2 will indeed choose A, making my choice of X optimal for maximizing my own payoff."""
+12,llama3,0.7,Given,Y,1.0,"""Since B is strictly dominated by A, Player 2 will choose B. To maximize my payoff, I should also choose Y to get the highest possible reward (8 points) compared to choosing X and getting only 7 points."""
+13,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, choosing X is the optimal option for me as it ensures I receive at least 7 points. Choosing Y would result in a lower payoff of 7 points."""
+14,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, Player 2 must choose B. Since Player 2 will always choose B, the optimal move for me as Player 1 is to maximize my expected payoff given Player 2's certain move. In this case, choosing Y and leveraging the possibility of receiving 8 points (instead of 7) provides the highest expected payoff."""
+15,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, I should also choose X to maximize my points. This way, I receive 8 points, which is the highest possible payoff for me."""
+16,llama3,0.7,Given,X,0.0,"""Player 2 will choose B based on the game rules, as A is strictly dominated by B. Since Player 1 wants to maximize their payoff, they should choose X, which gives them a higher reward (8 points) when Player 2 chooses A. Choosing Y would result in a lower payoff of 7 points."""
+17,llama3,0.7,Given,Y,0.0,"""Since B is strictly dominated by A, it's irrational for Player 2 to choose B. Therefore, I assume Player 2 will choose A. Given this, choosing Y leads to a better outcome (8 points) compared to choosing X (7 or 10 points). My objective is to maximize my payoff, so I choose Y."""
+18,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, player 2 will always choose B. Given this information, choosing Y will result in 8 points (8-10=2) for me, while choosing X will result in 7 points (7-5=2). Therefore, I choose Y to maximize my payoff."""
+19,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A if she is rational. Knowing this, I can maximize my own payoff by choosing X, which yields me an expected 8 points."""
+20,llama3,0.7,Given,Y,1.0,"""I'm Player 1, and since A is strictly dominated by B for Player 2, I know that B will always be chosen. Given this information, my preferred outcome is to receive 8 points when choosing Y and receiving A from Player 2. Since X gives me the same payoff in both scenarios where Player 2 chooses A or B, I choose Y to maximize my potential gain."""
+21,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given that, choosing X results in the maximum payoff for me (8 points), whereas choosing Y would yield a lower payoff (7 points). Therefore, I will choose X to maximize my own payoff."""
+22,llama3,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B, I can't gain any advantage by choosing X. Choosing Y gives me the possibility to receive 8 points if Player 2 chooses B, which is the best outcome for me."""
+23,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, it can be eliminated as a rational option. Since Player 2 must choose A if they are rational, the optimal strategy for me as player 1 is to choose X and maximize my payoff of 8."""
+24,llama3,0.7,Given,Y,1.0,"""Since Player 2 will always choose B to maximize their own payoff, I will also choose Y to receive the highest possible points (8). This strategy takes into account Player 2's rational decision-making and ensures my optimal payoff."""
+25,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A if she is rational. Given this, the optimal strategy for me as Player 1 is to choose X to maximize my payoff (8 points)."""
+26,llama3,0.7,Given,Y,1.0,"""Since B is strictly dominated by A and Player 2 must choose B if she is rational, choosing Y will give me more points (8) compared to X's highest payoff (7). Given the dominance of B over A, I have no reason to doubt that Player 2 will choose B, so my best move is Y."""
+27,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this rational opponent's move, I choose X to maximize my own payoff (8 points)"""
+28,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, selecting Y gives me the best chance to get a better payoff. If I choose X and Player 2 also chooses X, we both get 5 points, which is worse than choosing Y and getting 8 points or the guaranteed 7 points in some cases."""
+29,llama3,0.7,Given,Y,0.0,"""As Player 1, my goal is to maximize my payoff. Since B is strictly dominated by A and Player 2 must choose A if she is rational, I choose Y to guarantee a minimum of 7 points. This option also gives me the possibility to receive 8 points, which is better than the maximum of 7 points I would get with X."""
+30,llama3,0.7,Given,Y,1.0,"""As Player 2 will always choose B to maximize their payoff, I should also choose a action that would give me the highest possible score. Since choosing Y gives me a higher score (8 points) compared to X in any scenario where B is chosen by Player 2, and since Player 2 will indeed choose B, my optimal choice is Y."""
+1,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I choose X to maximize my payoff. Choosing X ensures a minimum of 7 points, whereas choosing Y would give me at most 8 points."""
+2,llama3,0.7,Explicit,Y,1.0,"""I choose Y to maximize my own payoff. Since A is strictly dominated by B, Player 2 will never choose A. Therefore, the relevant options are between X and B, or X and Y. In this case, choosing Y gives me a higher payoff (8 points) than choosing X (7 points), regardless of what Player 2 chooses. This choice guarantees my maximum possible score."""
+3,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, and Player 2's optimal response is to choose A regardless of the action taken by Player 1, I will choose X which gives me a payoff of 8 points while still guaranteeing at least 7 points. This way, I maximize my own payoff, given the possibility that Player 2 will respond with A."""
+4,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I will choose Y to maximize my payoff. Given the choice between Y and X, choosing Y gives me a chance to get 8 points, which is better than the 7 points I can get from choosing X. Since Player 2's choice is independent of mine, I will choose Y to try to maximize my payoff."""
+5,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will never choose B. Given this information, choosing X gives me the highest expected payoff due to receiving 8 points when Player 2 chooses A."""
+6,llama3,0.7,Explicit,Y,1.0,"""As A is strictly dominated by B, Player 2 will choose the more favorable option for them. Therefore, I prioritize maximizing my payoff and ensure that Player 2 does not have an incentive to pick B by choosing Y, which gives me at least a tie in terms of points."""
+7,llama3,0.7,Explicit,X,1.0,"""I have chosen X because B is strictly dominated by A, which means that whatever Player 2 chooses, I will get a better payoff by choosing X. Since B yields the lowest payoff for both players, it's in my best interest to rule out that option and choose X, which gives me at least 7 points."""
+8,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B in response. By choosing Y, I can guarantee a minimum payoff of 7 points and potentially get 8 points if Player 2 chooses A."""
+9,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X allows me to guarantee a payoff of at least 8 points, which is higher than the worst-case scenario with Y. This move maximizes my own payoff while considering Player 2's potential moves."""
+10,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it is the only action that can give me 8 points, which is my highest possible payoff. Since A is strictly dominated by B, I eliminate the possibility of Player 2 choosing A and focus on maximizing my own payoff. Choosing X would result in a lower payoff than choosing Y."""
+11,llama3,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A, I choose X because it is the more profitable option. By choosing X, I can maximize my payoff and ensure a higher return regardless of Player 2's move."""
+12,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to maximize my payoff. This eliminates the possibility of choosing A and gives me a chance to get 8 points or 7 points, which are both higher than the maximum possible payoff from X."""
+13,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, I will choose Y to avoid a situation where I get the worst possible outcome (7 points). By choosing Y, I am not giving up any potential gains compared to X. With Y, my best-case scenario is 8 points and my worst-case scenario is still 5 points, which is better than the worst-case scenario of getting 0 points with B."""
+14,llama3,0.7,Explicit,X,0.0,
+15,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, I choose Y to avoid the worse-case scenario and maximize my own payoff (8 points)"""
+16,llama3,0.7,Explicit,Y,1.0,"""Since X is strictly dominated by Y, choosing Y ensures a higher payoff than X. According to the game rules, choosing Y leads to 8 points when Player 2 chooses B, which is more points than any other possible outcome."""
+17,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, Player 2 would always choose A over B. Given this information, choosing Y allows me to get 8 points when Player 2 chooses B and ensures I don't receive any negative payoff."""
+18,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it strictly dominates A, since choosing both X and A results in a lower payoff than any other combination. Additionally, since B is not strictly dominated by either option (neither X or Y yields the highest possible payoff), I choose Y to maximize my payoff."""
+19,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I will choose X to maximize my payoff. According to the game rules, choosing X and Player 2 choosing A gives me a higher payoff (8) compared to other possible outcomes when choosing X."""
+20,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B and I want to maximize my own payoff, I choose Y. This ensures that I have a maximum potential gain regardless of Player 2's move."""
+21,llama3,0.7,Explicit,X,1.0,"""Since A is strictly dominated by B, choosing X over Y can guarantee the maximum payoff. If Player 2 chooses A, I maximize my payoff at 8 points. Even if they choose B, I still receive a decent 7 points. Meanwhile, choosing Y would risk receiving only 7 points in the best-case scenario. Therefore, I rationalize that selecting X is the optimal choice."""
+22,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to maximize my own payoff. By selecting Y, Player 2's best response would be B (giving me 8 points), which gives me the highest possible reward."""
+23,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X dominates all other options. With a certain win of 8 points and a win-lose scenario of (7,10), I choose X to maximize my payoff."""
+24,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it allows me to maximize my payoff by avoiding the worst possible outcome (0 points) and choosing among two options that give me at least 7 points. If Player 2 chooses A, I still get a decent score of 7 points. By choosing Y, I ensure the maximum potential gain while minimizing the risk of getting the lowest possible score."""
+25,llama3,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A, the best response for Player 1 is to choose X. This eliminates one of Player 2's pure strategy Nash equilibriums and forces them to choose A, resulting in an optimal payoff of 8 points for Player 1."""
+26,llama3,0.7,Explicit,Y,1.0,"""Because A is strictly dominated by B, I choose Y to maximize my payoff. Given that X would not guarantee a better outcome than 7 points, choosing Y ensures at least 8 points while leaving Player 2 with a lower payoff of 10 points."""
+27,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, it's never a good idea to choose B. Therefore, I maximize my payoff by choosing Y, which gives me 8 points and outplays Player 2's maximum attainable payoff of 10."""
+28,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y will give me the highest payoff (8 points) compared to X if Player 2 chooses B. This dominates all other possibilities and gives me a better chance of winning."""
+29,llama3,0.7,Explicit,Y,0.0,"""I choose Y because B is strictly dominated by A. Since the outcome of choosing Y with either A or B is better than the outcome of choosing X with either A or B, I decide to choose Y."""
+30,llama3,0.7,Explicit,Y,1.0,"""Player 2 choosing B would result in Player 1 receiving only 8 points, while Player 2 receives 10 points. Since A is strictly dominated by B for Player 2, I expect them to choose B as well. In this case, choosing Y ensures that I receive the maximum possible payoff of 7 points."""
+1,llama3,0.7,Implicit,Y,0.0,"""I choose Y to minimize the worst-case scenario. Choosing X would result in a loss of 7 points if Player 2 chooses B, whereas choosing Y guarantees at least 7 points and potentially 8 points if Player 2 chooses B."""
+2,llama3,0.7,Implicit,Y,1.0,"""I have chosen Y as it provides the highest payoff when Player 2 chooses A, and it is better than choosing X in the case where Player 2 chooses B. With these possibilities, maximizing my own payoff leads me to choose Y."""
+3,llama3,0.7,Implicit,X,1.0,"""Since choosing X gives me the highest possible payoff (8 points) when Player 2 chooses B, and I have no information about their move yet, I will choose X to maximize my potential reward."""
+4,llama3,0.7,Implicit,Y,1.0,"""I will choose Y because it gives me the highest payoff, 8 points, compared to X which gives me 7 points. Additionally, choosing Y does not guarantee a zero payoff for Player 2, as seen in case Y and A."""
+5,llama3,0.7,Implicit,Y,0.0,"""I am going to choose Y as it gives me the highest payoff (8 points) compared to X, which only offers 7-8 points. Since my aim is to maximize my own payoff, I will opt for Y."""
+6,llama3,0.7,Implicit,Y,1.0,"""Since I'm trying to maximize my payoff, I choose Y as it guarantees me 8 points regardless of Player 2's choice. Both 'A' and 'B' choices by Player 2 result in a higher payoff for them than for me."""
+7,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it offers the highest payoff considering all possible responses from Player 2. With my response being 'Y', if Player 2 chooses A, I will get 7 points which is better than choosing X and getting 8 points. If Player 2 chooses B, I will still get 8 points with my choice of Y, while choosing X would only give me 7 points."""
+8,llama3,0.7,Implicit,Y,1.0,"""I am choosing Y because it gives me a chance to potentially receive 8 points, which is my highest possible payoff. While the other options could also yield positive payoffs, this move provides the maximum potential for reward."""
+9,llama3,0.7,Implicit,Y,0.0,"""I choose Y to maximize my payoff. If I choose X and Player 2 chooses B, I will only receive 7 points. Choosing Y gives me the highest potential payoff with a score of 8 if Player 2 chooses B. Additionally, choosing Y gives me a decent score of 7 if Player 2 chooses A."""
+10,llama3,0.7,Implicit,Y,1.0,"""I am Player 1 and my goal is to maximize my payoff. Since I get the highest points (8) when choosing Y and Player 2 chooses B, I will choose Y in an effort to receive the maximum possible payoff."""
+11,llama3,0.7,Implicit,Y,0.0,"""I'm choosing Y to maximize my payoff. Since player 2 will choose B with probability 1, I get 8 points by choosing Y and losing less than if I had chosen X."""
+12,llama3,0.7,Implicit,Y,1.0,"""I am choosing Y because it gives me the highest possible reward if Player 2 chooses A. If Player 2 chooses B, I will still receive a reward, but less than with option X and/or Y. Since my aim is to maximize my own payoff, I prefer the higher expected value of Y."""
+13,llama3,0.7,Implicit,X,1.0,"""Since Player 2 is going to choose either A or B, I can maximize my own payoff by choosing X and making Player 2 less likely to choose B. With this move, I have a higher chance of getting 10 points instead of 5-7 points."""
+14,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it is the optimal move that ensures I get at least 7 points, and there's a possibility to get 8 points as well. By choosing Y, I'm also minimizing the worst-case scenario, which is getting only 5 points if Player 2 chooses A."""
+15,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it guarantees me a minimum payoff of 7 points, comparing to X which has a potential outcome of 5 or 8 points. My goal is to maximize my own payoff, and choosing Y gives me the highest possible outcome regardless of Player 2's move."""
+16,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y gives me the highest possible payoff (8 points) against both Player 2's choices, I will choose Y to maximize my expected outcome."""
+17,llama3,0.7,Implicit,Y,0.0,"""I chose Y because it has a higher expected value than X. With the possibility of Player 2 choosing B, choosing Y gives me an expected payoff of (8 points + chance of 5 points) / 2 = 6.5 points, which is better than the expected payoff for choosing X, which would be (8 points + 7 points) / 2 = 7.5 points - 0.25 * 10 points = 6.75 points."""
+18,llama3,0.7,Implicit,X,0.0,"""I choose X because it gives me the highest payoff (8 points) when Player 2 chooses A, regardless of what they do. Since I don't have any prior information about Player 2's move, playing X is a rational choice to maximize my expected value."""
+19,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it gives me the highest payoff in both possible scenarios. Against A, I get 7 points and against B, I get 8 points. Choosing X would only give me a lower maximum payoff, so choosing Y is the rational move to maximize my points."""
+20,llama3,0.7,Implicit,Y,1.0,"""Considering the game rules, choosing Y (7 points) is a better option than X (8 points) given that Player 2's best response would be B (10 points), which would result in a loss. In contrast, if Player 1 chooses Y and Player 2 chooses A, at least Player 1 would get 7 points."""
+21,llama3,0.7,Implicit,X,1.0,"""I chose X to maximize my payoff. Since both Player 2's choices (A and B) would give me a lower payoff than either X's outcome, selecting X ensures the highest possible return."""
+22,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it allows me to receive 8 points if Player 2 chooses B, which is the highest possible payoff for me. Additionally, choosing Y still leaves a chance for me to get 7 points if Player 2 chooses A, while minimizing my potential loss to 5 points."""
+23,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it gives me a higher payoff (8 points) compared to X (7 or 8 points). The risk is that Player 2 might choose B, but the expected payout is still higher with Y. I am a risk-neutral player and prioritize maximizing my own payoff."""
+24,llama3,0.7,Implicit,Y,1.0,"""Given the game rules, Y appears to be a more favorable option for me as Player 1. Choosing Y gives me a potential payoff of 8 points if Player 2 chooses B, and 7 points if they choose A. This compares to X, which only guarantees 7 points regardless of Player 2's choice. Since I'm seeking to maximize my own payoff, choosing Y seems like the most rational decision at this point."""
+25,llama3,0.7,Implicit,Y,0.0,"""Since choosing Y gives me a higher payoff (8 points) when Player 2 chooses B, and both options for Player 2 are equally likely, I choose Y to maximize my expected gain."""
+26,llama3,0.7,Implicit,Y,1.0,"""I choose Y to maximize my payoff. Considering the possible options for Player 2 (A or B), I can see that choosing Y gives me a higher expected return (8 points) compared to X (7 points). Since I want to maximize my score, I decide to take the gamble and choose Y."""
+27,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest payoff if Player 2 chooses B, which is a more probable scenario since they also have a higher payoff in this case. Additionally, even if Player 2 chooses A, I still receive 8 points, which is better than my maximum possible payoff with Y (7 points)."""
+28,llama3,0.7,Implicit,Y,1.0,"""I'm choosing Y as it's the highest payoff option for me, with a potential reward of 8 points. With this move, I'm giving Player 2 two options to react: B and A. If they choose B, I'll get 8 points, while if they choose A, I'll still get 7 points. Therefore, choosing Y provides the highest potential payout for me."""
+29,llama3,0.7,Implicit,Y,0.0,"""I chose Y because it has the maximum potential to maximize my own payoff. Choosing X can lead to a lower payoff in both scenarios with Player 2 choosing B (7 points) or A (8 points). On the other hand, choosing Y leads to either 7 or 8 points, which is better than the minimum payoff of 7 points that I could get from choosing X."""
+30,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y gives me 8 points if Player 2 chooses B, and 7 points if they choose A (which is a better option than choosing X), I will choose Y to maximize my payoff."""
+1,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose 'A' if given the chance, choosing 'X' will yield me the highest payoff of 8 points."""
+2,mistral-small,0.7,Given,X,0.0,"""Choosing X maximizes my payoff because if Player 2 is rational and chooses B, I will get 7 points. If Player 2 were to choose A instead of being rational (which wouldn't be optimal for Player 2), then I would end up with 8 points anyway."""
+3,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is rational, she will choose 'A' to maximize her payoff. Therefore, I am choosing 'Y' because it gives me 7 points when Player 2 chooses 'A', which is better than choosing 'X' and getting only 8 Points"""
+4,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose B. Therefore, I should choose Y to maximize my payoff, which would be 8 points."""
+5,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Given this, choosing X yields a higher payoff (8 points) compared to choosing Y (7 points)."""
+6,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B (since A is strictly dominated by B), the best response for me as Player 1 is to choose Y. This yields me 8 points, which is higher than choosing X (which would give me 7 points)."""
+7,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose strategy A to maximise her own payoff, I need to consider the best response to A. If Player 1 chooses X and Player 2 chooses A, player 1 receives 8 points, and if you choose Y with Player 2 choosing A, player 1 gets just an additional point (7 points) . Hence, choosing 'X' will maximise my own payoff."""
+8,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B, I should maximize my payoff. If Player 1 chooses Y and Player 2 chooses B, then player 1 receives 8 points which is higher than the maximum 7 points if choosing X."""
+9,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose A if she can, X yields (if chosen together with their rational play) more points than Y"""
+10,mistral-small,0.7,Given,X,0.0,"""Since Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. Therefore, I should choose X to maximize my payoff."""
+11,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational, she will choose A to maximize her payoff. Given this, I should choose X because it yields a higher payoff (8 points) compared to choosing Y (7 points)."""
+12,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Given this, I should choose Y to maximize my payoff, which would be 8 points."""
+13,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is expected to choose rationally and B is strictly dominated by A, we can anticipate that Player 2 will choose A. Choosing X when player 2 chooses A gives me 8 points as opposed to choosing Y which would give only 7 points."""
+14,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and B strictly dominates A, Player 2 will choose B. Therefore, I should maximize my payoff based on the assumption that Player 2 chooses B."""
+15,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. If Player 2 chooses A, I get 8 points by choosing X and 7 points by choosing Y. Therefore, I should choose X to maximize my payoff."""
+16,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B, I should choose Y to maximize my payoff. If Player 2 chooses B and I choose Y, I get 8 points instead of 7 if I choose X."""
+17,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose A to maximize her own payoff, I should also act rationally to maximize mine. If Player 2 chooses A, my payoff for choosing X is 8 points (higher than the 7 points I would get if I chose Y)."""
+18,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will choose Y to maximize my payoff. If Player 2 chooses B and I choose Y, I receive 8 points."""
+19,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives me 8 points, which is the highest payoff I can receive given this condition."""
+20,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. Given this, I should choose Y to maximize my payoff, as choosing Y when Player 2 chooses B gives me 8 points compared to 7 points if I choose X."""
+21,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, I need to decide between X and Y based on the assumption that Player 2 chooses A because they are rational."""
+22,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A. Regardless, the decision for Player 1 has only one optimal choice because when Player 2 chooses B (because they are rational), if I choose Y, I get 8 points which is higher than choosing X."""
+23,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff since choosing X when Player 2 chooses A gives me 8 points, which is better than the expected outcome for Y."""
+24,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B to maximize her own payoff, I should choose Y to maximize my own payoff. If Player 2 chooses B then there are two possibilities: if I choose X I get 7 points and if i choose Y I gain 8 points from which the optimal choice should be choosing Y"""
+25,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, choosing X guarantees me 8 points, whereas choosing Y would only give me 7 points if Player 2 chooses A."""
+26,mistral-small,0.7,Given,X,0.0,"""Given that Player 2 must choose B if she is rational (since A is strictly dominated by B), I will choose X. This way, I can guarantee myself 7 points."""
+27,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose A to maximize her payoff, I should choose X. If Player 1 selects X and Player 2 selects A, then Player 1 receives 8 points. This strategy maximizes my own payoff given the assumption of rational play from Player 2."""
+28,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B (since A is strictly dominated by B), I should choose Y to maximize my payoff. If Player 2 chooses B, choosing Y gives me 8 points, while choosing X would only give me 7 points."""
+29,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose A (as B is strictly dominated by A), I should maximize my own payoff based on this. If Player 1 chooses X, they will get 8 points if player 2 chooses A and only get 7 points otherwise; therefore it is the best choice in this scenario."""
+30,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B, I maximize my payoff by choosing Y. If Player 2 chooses B, I get 8 points."""
+1,mistral-small,0.7,Explicit,X,1.0,"""Since Player 2 will choose to maximize their own payoff and B is strictly dominated by A for them, they can safely be assumed to pick A. Player 1 receives the highest possible points(8) if Player 1 chooses X."""
+2,mistral-small,0.7,Explicit,Y,1.0,"""As Player 1, I should choose 'Y' because it guarantees a higher payoff regardless of Player 2's choice. If Player 2 chooses 'B,' I get 8 points; if Player 2 chooses 'A,' I get 7 points. Since 'X' results in either 7 or 8 points and doesn't ensure the highest possible outcome for all scenarios."""
+3,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A, Player 2 will never choose B. Therefore, it is reasonable to assume that Player 2 will choose A. By choosing X, I maximize my payoff as follows with a choice of A: when Player 1 chooses 'X' and if we are sure player 2 would choose 'A', then we get the maximum point of 8."""
+4,mistral-small,0.7,Explicit,X,0.0,"""Since Player 1 aims to maximize their own payoff, they should be rationalizing what is the best and worst outcomes. """
+5,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A for Player 2, it's rational to assume that Player 2 will choose A. If Player 1 chooses Y and Player 2 chooses A, I get only 7 points; whereas choosing X in this situation gives 8 points."""
+6,mistral-small,0.7,Explicit,Y,1.0,"""By choosing 'Y', Player 1 maximizes their own payoff in both scenarios. If Player 2 chooses 'A', Player 1 gets 7 points, and if Player 2 chooses 'B', Player 1 gets 8 points. This ensures the highest minimum payoff regardless of Player 2's choice."""
+7,mistral-small,0.7,Explicit,Y,0.0,"""Player 1 should choose 'Y' regardless of Player 2's choice. If Player 2 chooses 'A', Player 1 gets 7 points, and if Player 2 chooses 'B,' Player 1 gets 8 points (and importantly, Player 1 wins everything). Since choosing 'X' yields an average return less than 7.5 while choosing 'Y' gives a reliable minimum of 7 points."""
+8,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'B', I get 8 points. If Player 2 chooses 'A', I still get 7 points. Since choosing 'X' would only give me a maximum of 8 points if Player 2 chooses 'A,' but I prefer the consistency and the higher guaranteed result by doing so."""
+9,mistral-small,0.7,Explicit,X,1.0,"""Since I am Player 1 and my goal is to maximize my own payoff, I need to consider the possible outcomes. If B is strictly dominated by A (which means A gives a better or equal payoff to Player 2 irrespective of what Player 1 chooses), then Player 1 should choose X because if you select Y both have worse outcome."""
+10,mistral-small,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B for Player 2, we can assume that Player 2 will choose B to maximize their own payoff. If Player 2 chooses B, I get 8 points (for Y) vs 7 points (for X), so it's better for me to choose Y."""
+11,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A for Player 2, we can assume that Player 2 will choose A to maximize their own payoff. Given this, my best choice is X because it gives me 8 points when Player 2 chooses A."""
+12,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2 will likely choose B because A is strictly dominated, choosing Y yields a higher payoff (8 points) compared to choosing X which would provide only 7 points."""
+13,mistral-small,0.7,Explicit,Y,0.0,"""Choosing 'Y' maximizes my payoff in scenarios where Player 2 chooses 'A'. Given that 'B' is strictly dominated by 'A', it is rational to assume Player 2 will choose 'A' to maximize their own payoff; hence the higher reward for me."""
+14,mistral-small,0.7,Explicit,X,0.0,"""Player 2 is aware that choosing either action will give me a higher payoff and I can eliminate Player 1's strictly dominated strategy. Hence, it only makes sense for us to choose X, since our aim will be to maximise my own payoff."""
+15,mistral-small,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, Player 2 is unlikely to choose B. Therefore, choosing Y maximizes my payoff in both scenarios. If Player 2 chooses A, I get 7 points; if Player 2 chooses B, I still get the highest possible points of 8."""
+16,mistral-small,0.7,Explicit,Y,1.0,"""Since Player 2's action B strictly dominates the option A, we can assume Player 1 will predict that player 2 will choose B. Given this, choosing Y gives me (Player 1) 8 points while X only yields 7 in total for every possible outcome."""
+17,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A for Player 2, I expect Player 2 to choose A. By choosing X, I maximize my own payoff as it gives me 8 points if Player 2 chooses anything. Choosing Y would only provide 7 points in response."""
+18,mistral-small,0.7,Explicit,Y,1.0,"""Given the game rules and the information that choosing B is a strictly dominant strategy for Player 2, if Player 1 chooses Y against Player 2 choosing B. This provides Player 1 with the highest possible score of 8 points."""
+19,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will likely choose A to maximize their own payoff. By choosing X, I can secure 8 points regardless of what the opponent chooses or the opponent would choose."""
+20,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes my payoff in both scenarios. If Player 2 chooses 'A', I get 8 points; if Player 2 chooses 'B', I get 7 points."""
+21,mistral-small,0.7,Explicit,X,1.0,"""Choosing X maximizes my potential payoff. If Player 2 chooses A, I get 8 points, and if Player 2 chooses B, I still get a reasonable 7 points. Since B is strictly dominated by A, it's rational to assume Player 2 might choose A more often, making X the safer choice for potentially higher rewards."""
+22,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2's strategy A is strictly dominated and it doesn't affect the other point distribution regardless (B will always yield more points for player 2 unless otherwise stated), I chose Y to maximize my points. If Player 2 chooses B, I get 8 points."""
+23,mistral-small,0.7,Explicit,Y,0.0,"""Given that B is strictly dominated by A for Player 2, Player 2 will never choose B. Therefore, the best response to Player 2 choosing A is Y, since it yields a payoff of 7 points while minimizing Player 1's potential loss."""
+24,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'B', I get 8 points, and if Player 2 chooses 'A', I get 7 points. Choosing 'X' would result in either 7 or 8 points depending on Player 2's choice, but choosing 'Y' ensures a guaranteed high payoff."""
+25,mistral-small,0.7,Explicit,X,1.0,"""Given that Player 2 is aware that B is strictly dominated by A, there's a high likelihood Player 2 will choose A for more points. Choosing X gives the highest payoff (8 points) when Player 2 chooses A."""
+26,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in all scenarios. If Player 2 chooses 'A', I get 7 points. If Player 2 chooses 'B', I get 8 points, which is the highest possible score for Player 1. Since 'Y' guarantees a higher or equal point against any action from Player 2."""
+27,mistral-small,0.7,Explicit,X,1.0,"""Player 1 should choose X, as choosing X can result in a maximum payoff of 8 points. Since Player 2's B is strictly dominated by A, the worst possible outcome for Player 1 by selecting X would be receiving 7 points."""
+28,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my payoff because it guarantees at least 7 points regardless of Player 2's move. If Player 2 chooses A, I get 7 points; if Player 2 chooses B, I get 8 points. Choosing 'X' might give me 8 points but could also leave me vulnerable to getting only 7 points. """
+29,mistral-small,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 8 points; if Player 2 chooses B, I still get 7 points which is the third highest. Since B is strictly dominated by A i assume player 2 will also choose A"""
+30,mistral-small,0.7,Explicit,Y,1.0,"""Since Player 2's strategy A is strictly dominated by B, we can assume that Player 2 will choose B to maximize their own payoff (10 points). Therefore, I should choose Y to ensure I receive the highest possible reward which means getting 8 points."""
+1,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'A', I get 7 points; if Player 2 chooses 'B', I get 8 points, which is the highest possible outcome."""
+2,mistral-small,0.7,Implicit,Y,1.0,"""I chose Y because it maximizes my payoff in the worst-case scenario. If Player 2 chooses B, I get 8 points, and if Player 2 chooses A, I still get a decent 7 points."""
+3,mistral-small,0.7,Implicit,X,1.0,"""Choosing X maximizes my minimum payoff. If Player 2 chooses A, I get 8 points; if Player 2 chooses B, I still get 7 points. Choosing Y could result in only 7 points or a minimum of zero points."""
+4,mistral-small,0.7,Implicit,Y,1.0,"""Player 1 receives more points when choosing Y. There are no other information provided about Player 2's selection making the best way to maximize my own payoff is to choose 'Y'."""
+5,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my minimum payoff. If Player 2 chooses A, I get 7 points; if Player 2 chooses B, I still get 8 points. This strategy ensures that I get at least 7 points regardless of Player 2's choice, whereas choosing 'X' could result in only 5 or 7 points."""
+6,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in at least one scenario. If Player 2 chooses B, I get 8 points, which is higher than any other outcome for me."""
+7,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my payoff in the worst-case scenario. If Player 2 chooses 'B', I get 8 points, which is higher than any other outcome for me."""
+8,mistral-small,0.7,Implicit,X,0.0,"""Choosing X maximizes my payoff in at least one scenario (8 points when Player 2 chooses A) and ensures a minimum of 7 points. This strategy minimizes risk."""
+9,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff because it can result in 8 points if Player 2 chooses B, whereas choosing 'X' only provides a maximum of 7 points and allows for a situation where I could get lower returns."""
+10,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 8 points, which is the highest possible payoff for me in any scenario. Even if Player 2 chooses 'A', I still get 7 points, which is only one point less."""
+11,mistral-small,0.7,Implicit,Y,0.0,"""I chose 'Y' because it has the potential to secure me 8 points if Player 2 chooses B, which is my highest possible score. While choosing 'X' can also result in a high score of 8 (if Player 2 chooses A), this situation gives 10 points to Player 2, making my payoff less optimal compared to the situation wherein Player 1’s payoff becomes the highest when they choose 'Y'."""
+12,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I maximize the lowest possible payoff. If Player 2 chooses 'A', I get 7 points, and if they choose 'B' ,I also get 8 which will be higher than any option of choice X."""
+13,mistral-small,0.7,Implicit,Y,0.0,"""By choosing Y I limit Player 2's best outcome with any possible choice they make. If Player 2 chooses A, I get 7 points while their most beneficial outcome is also when I choose X they receive 9."""
+14,mistral-small,0.7,Implicit,X,0.0,"""I chose 'X' because it guarantees a minimum payoff of 7 points, regardless of what Player 2 chooses. This strategy avoids the risk of receiving only 0 points, which could occur if I choose 'Y' and Player 2 picks 'A'."""
+15,mistral-small,0.7,Implicit,X,1.0,"""Player 1 should choose 'X' because, regardless of Player 2's choice (A or B), the worst outcome for Player 1 with choosing 'X' (receiving 7 points if Player 2 chooses 'B') will always be better than the outcome in one scenario '7 points', i.e., when Player 1 chose 'Y' and also Player 2 is chosen as A."""
+16,mistral-small,0.7,Implicit,Y,1.0,"""By choosing Y, I can secure either 8 points (if Player 2 chooses B) or 7 points (if Player 2 chooses A). These outcomes guarantee a higher minimum payoff compared to choosing X, where the best outcome is also 7. This strategy maximizes my potential reward while minimizing risk."""
+17,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 7 points; if Player 2 chooses B, I get 8 points. This ensures that I secure at least 7 points or more."""
+18,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in one scenario (8 points) and has only a slight reduction from choosing 'X' when Player 2 chooses B"""
+19,mistral-small,0.7,Implicit,Y,0.0,"""By choosing Y, I maximize my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 7 points; if Player 2 chooses B, I get 8 points. This ensures that I never receive fewer than 7 points."""
+20,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get 8 points (the highest possible score for me), and if Player 2 chooses A, I still get a decent score of 7 points."""
+21,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'A', I get 8 points, and if Player 2 chooses 'B', I still get 7 points. This strategy ensures that I do not receive the lowest possible score (0)."""
+22,mistral-small,0.7,Implicit,X,0.0,"""Choosing 'X' maximizes my potential payoff. If Player 2 chooses 'A', I get 8 points, and if Player 2 chooses 'B', I still get 7 points. This strategy ensures the highest possible score regardless of Player 2's choice."""
+23,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes Player 1's payoff, regardless of Player 2’s choices. I'll be able to get better points either way."""
+24,mistral-small,0.7,Implicit,Y,1.0,"""Given that the payoff matrix and without any information about Player 2's strategy, playing Y maximizes my possible gains against both 'A' or 'B'. Choosing X might leave me with fewer points if not countered strategically. Thus I choose to play Y because it will yield more than 7 points in either of Player 2's choices (either A or B)."""
+25,mistral-small,0.7,Implicit,X,1.0,"""To maximize my own payoff, I opted for action 'X'. By choosing 'X', the optimal outcome occurs when Player 2 chooses 'A' yielding me a high score of 8 points. If Player 2 chooses 'B', my worst possible result would still be 7 points."""
+26,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in both scenarios. If Player 2 chooses B, I get 8 points (highest for Player 1).If Player 2 chooses A, I still get a substantial 7 points and prevent the risk of getting 0 points if Player 2 chooses X."""
+27,mistral-small,0.7,Implicit,X,1.0,"""I chose 'X' because it provides a higher payoff in both scenarios where Player 2 can choose 'A'. If Player 2 picks 'A' and I pick 'X', I get 8 points, which is the highest score available. Even if Player 2 picks option 'B', choosing X will give me a decent score of 7 and still maximizes my possible outcomes."""
+28,mistral-small,0.7,Implicit,Y,1.0,"""As Player 1, my aim is to maximize my own payoff. By choosing 'Y', I can guarantee at least 7 points regardless of Player 2's choice (either 8 points if Player 2 chooses B or 5 points otherwise). Additionally, the expected payoff from choosing 'X' is lower: it only yields between 6 and 8 points."""
+29,mistral-small,0.7,Implicit,X,1.0,"""As Player 1, I want to maximize my own payoff. If I choose X, the worst-case scenario is that I get 7 points (if Player 2 chooses B). If I choose Y, the best case scenario is also 8 points (if Player 2 chooses B), but there is a risk of getting only 7 points if Player 2 chooses A. Therefore, choosing X guarantees at least 7 points and can potentially secure me up to 8 points."""
+30,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B,' I get 8 points, which is the highest possible score for me in this game."""
+1,deepseek-r1,0.7,Given,X,1.0,"""(Your Reasoning Here)"""
+2,deepseek-r1,0.7,Given,Y,1.0,
+3,deepseek-r1,0.7,Given,X,1.0,
+4,deepseek-r1,0.7,Given,Y,1.0,
+5,deepseek-r1,0.7,Given,X,1.0,"""..."""
+6,deepseek-r1,0.7,Given,X,0.0,
+7,deepseek-r1,0.7,Given,X,1.0,
+8,deepseek-r1,0.7,Given,X,0.0,"""A is dominated by B, Player 2 will choose B. So I should play X to reach the (X,B) outcome."""
+9,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X because when Player 2 chooses A, X gives Player 1 a higher payoff (8 vs. 7). Additionally, since B is strictly dominated by A and Player 2 will play rationally to choose A as per the given information."""
+10,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B, so Y leads to higher payoffs."""
+11,deepseek-r1,0.7,Given,X,1.0,"""I don't know why Player 2 would ever choose B instead of A, so I'll stick with X."""
+12,deepseek-r1,0.7,Given,X,0.0,"""..."""
+13,deepseek-r1,0.7,Given,X,1.0,
+14,deepseek-r1,0.7,Given,X,0.0,"""Player 2 will choose B, so if I choose X and she chooses B, both get 7 points. If instead Y is chosen by me along with her B, I get 8 instead."""
+15,deepseek-r1,0.7,Given,Y,0.0,
+16,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 must choose B if she is rational, so I can exploit that by choosing Y."""
+17,deepseek-r1,0.7,Given,Y,0.0,"""Player 2 will choose A since it strictly dominates B. Knowing this, Player 1 chooses Y to maximize payoff."""
+18,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B, so for Player 1, Y is better than X when facing B."""
+19,deepseek-r1,0.7,Given,X,1.0,
+20,deepseek-r1,0.7,Given,Y,1.0,"""Since Player 2 will choose B due to it being strictly dominant, I should select Y in response."""
+21,deepseek-r1,0.7,Given,Y,0.0,"""Since Player 2 will choose A based on B being dominated by A, I should focus on the outcomes when Player 1 selects Y. Comparing against Player 2's strategy, selecting X versus Y presents different payoffs. If Player 1 chooses X and Player 2 chooses A (8 vs. 7), Player 1 gets a higher payoff with X compared to not choosing X."""
+22,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 must choose B, so I should pick Y instead."""
+23,deepseek-r1,0.7,Given,X,1.0,"""I choose X because it leads to 8 points when Player 2 plays A, which is the rational choice for them."""
+24,deepseek-r1,0.7,Given,Y,1.0,"""To maximize my points, I will choose Y because it gives me more points when paired with B and balances well against Player 2 choosing A."""
+25,deepseek-r1,0.7,Given,X,1.0,"""..."""
+26,deepseek-r1,0.7,Given,X,0.0,"""Player 2 will choose B, so if I play X against B, I get 7 points, but if I play Y instead..."""
+27,deepseek-r1,0.7,Given,Y,0.0,"""Since player 2 will choose A, I can maximize my points with Y against A."""
+28,deepseek-r1,0.7,Given,Y,1.0,"""I want to maximize my own payoff, so choosing Y ensures I get 8 points if Player 2 chooses B."""
+29,deepseek-r1,0.7,Given,Y,0.0,"""B is dominated by A, so Player 2 will choose A. Hence to maximize payoff, choosing Y is optimal, giving 7 points versus X's 8 if Player 2 chooses B."""
+30,deepseek-r1,0.7,Given,Y,1.0,
+1,deepseek-r1,0.7,Explicit,X,1.0,"""Choose X to maximize my score against Player 2's likely optimal play."""
+2,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 2 will likely choose B, so I should pick Y to get the highest possible points."""
+3,deepseek-r1,0.7,Explicit,X,1.0,
+4,deepseek-r1,0.7,Explicit,Y,1.0,
+5,deepseek-r1,0.7,Explicit,Y,0.0,
+6,deepseek-r1,0.7,Explicit,X,0.0,"""Player 2 is likely to choose B since choosing it strictly dominates A, so Player 1 should select X instead of Y for a better payoff."""
+7,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose to play Y because it seems to lead to higher payoffs for me compared to X when Player 2 plays B."""
+8,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y to maximize their payoff since choosing Y against Player 2's B gives them the highest points (8), while all other combinations yield lower points."""
+9,deepseek-r1,0.7,Explicit,X,1.0,
+10,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y because it yields higher payoffs when Player 2 chooses B or A."""
+11,deepseek-r1,0.7,Explicit,X,1.0,"""I choose X because it leads to a higher payoff when Player 2 plays A, which dominates my possible options."""
+12,deepseek-r1,0.7,Explicit,Y,1.0,"""..."""
+13,deepseek-r1,0.7,Explicit,X,1.0,"""..."""
+14,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose 'Y' because it results in a higher payoff when paired with Player 2's moves."""
+15,deepseek-r1,0.7,Explicit,Y,0.0,"""I decided to play Y because I believe that against a dominated strategy, it's optimal to exploit the opponent's mistake."""
+16,deepseek-r1,0.7,Explicit,Y,1.0,"""..."""
+17,deepseek-r1,0.7,Explicit,Y,0.0,
+18,deepseek-r1,0.7,Explicit,Y,1.0,
+19,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it provides the best outcome when Player 2 picks B and X results in lower points."""
+20,deepseek-r1,0.7,Explicit,Y,1.0,"""Choosing Y maximizes my minimum possible payoff."""
+21,deepseek-r1,0.7,Explicit,Y,0.0,"""I should choose Y because it leads to a higher payoff if Player 2 chooses B."""
+22,deepseek-r1,0.7,Explicit,X,0.0,"""I choose X because..."""
+23,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it offers a better outcome when Player 2 plays B."""
+24,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y, because Player 2's strategy is dominated by B. If the opponent knows this, they will select B against Y for better rewards."""
+25,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should choose X to maximize their own score, ignoring Player 2's dominated strategy."""
+26,deepseek-r1,0.7,Explicit,X,0.0,"""..."""
+27,deepseek-r1,0.7,Explicit,Y,0.0,"""Player 2's dominated strategy might lead them to play B instead. However, if Player 1 expects this and chooses Y against B, they get points despite a lower payoff for the opponent."""
+28,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y to maximize their own payoff. Looking at the payout table, when Player 1 chooses Y and Player 2 chooses B, Player 1 gets 8 points. When they choose X instead, regardless of Player 2's choice, the maximum Player 1 can get decreases to 7 or even lower. Therefore, choosing Y is a better strategy."""
+29,deepseek-r1,0.7,Explicit,Y,0.0,"""..."""
+30,deepseek-r1,0.7,Explicit,Y,1.0,
+1,deepseek-r1,0.7,Implicit,X,1.0,"""I choose X because it seems to give me the higher points depending on Player 2's moves."""
+2,deepseek-r1,0.7,Implicit,Y,1.0,"""Player 1 should choose Y because it provides better outcomes in both scenarios where Player 2 chooses either B or A."""
+3,deepseek-r1,0.7,Implicit,X,1.0,
+4,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X because it dominates Y when Player 2 plays B, and possibly yields better outcomes in other scenarios."""
+5,deepseek-r1,0.7,Implicit,Y,0.0,"""I choose Y because that's the only option that gives me 8 points when Player 2 chooses B."""
+6,deepseek-r1,0.7,Implicit,X,0.0,
+7,deepseek-r1,0.7,Implicit,Y,0.0,"""My reasoning is that if Player 2 chooses A, I can get either 7 points with Y or 8 with X. If they choose B, same thing; choosing Y gives me 8 when Player 2 picks B and only 5 for me if it's X. So to maximize my own payoff regardless of their move, I'll go with Y."""
+8,deepseek-r1,0.7,Implicit,X,0.0,"""I will choose X to maximize my own points regardless of Player 2's strategy."""
+9,deepseek-r1,0.7,Implicit,X,1.0,
+10,deepseek-r1,0.7,Implicit,X,0.0,"""Choosing X because... I want to maximize my own payoff based on Player 2's potential moves."""
+11,deepseek-r1,0.7,Implicit,X,1.0,"""..."""
+12,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X because I can ensure at least 7 points if Player 2 picks B, but get a higher reward of 8 when they pick A."""
+13,deepseek-r1,0.7,Implicit,Y,0.0,"""I will choose Y because it seems to provide better average points regardless of Player 2's choice."""
+14,deepseek-r1,0.7,Implicit,X,0.0,
+15,deepseek-r1,0.7,Implicit,X,1.0,"""I choose X to maximize my points when Player 2 chooses B. I know that if Player 2 chooses X, they would get more points with their own choices, which is not favorable for me."""
+16,deepseek-r1,0.7,Implicit,Y,1.0,"""I see that Y can sometimes yield higher points for me. Let's look at the possible outcomes."""
+17,deepseek-r1,0.7,Implicit,Y,0.0,"""..."""
+18,deepseek-r1,0.7,Implicit,Y,1.0,
+19,deepseek-r1,0.7,Implicit,Y,0.0,"""Player 2 chose B more often, selecting Y is better."""
+20,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X because it always dominates Y. Whatever Player 2 does, I get more points."""
+21,deepseek-r1,0.7,Implicit,X,1.0,"""Optimal for me to maximize my own points."""
+22,deepseek-r1,0.7,Implicit,Y,1.0,"""Choosing Y maximizes my gain if Player 2 plays B, which gives me 8 points. But I also need to consider the other possibilities."""
+23,deepseek-r1,0.7,Implicit,Y,0.0,
+24,deepseek-r1,0.7,Implicit,Y,1.0,"""Exploring potential higher payoffs for myself."""
+25,deepseek-r1,0.7,Implicit,X,1.0,"""Player 1 should choose X to gain the maximum points regardless of Player 2's choices."""
+26,deepseek-r1,0.7,Implicit,Y,1.0,"""The optimal strategy is to choose Y since it yields higher points when Player 2 chooses B, and it also gives a decent score if they choose A."""
+27,deepseek-r1,0.7,Implicit,X,1.0,"""I decide to choose X because it provides higher payoffs in both scenarios."""
+28,deepseek-r1,0.7,Implicit,Y,1.0,
+29,deepseek-r1,0.7,Implicit,X,1.0,"""Because..."""
+30,deepseek-r1,0.7,Implicit,X,0.0,"""I want to maximize my own payoff and consider each possible action."""
diff --git a/data/ring/ring.1.c.csv b/data/ring/ring.1.c.csv
new file mode 100644
index 0000000..e0d1eb1
--- /dev/null
+++ b/data/ring/ring.1.c.csv
@@ -0,0 +1,271 @@
+Iteration,Model,Temperature,Belief,action,rationality,reasoning
+1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will rationally choose A. Given this, I should choose X to maximize my own payoff, as it results in a higher score difference between the players (6-10 = -4) compared to Y (0-5 = -5)."""
+2,llama3,0.7,Given,Y,1.0,"""Since Player 2 will always choose B, I will choose Y to maximize my payoff. This eliminates the possibility of receiving only 0 or 5 points."""
+3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this, I should maximize my expected payoff by choosing X, which gives me a guaranteed 6 points if Player 2 chooses A."""
+4,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if they are rational, and Y is the only option that guarantees a positive payoff for me (6 points), I will choose Y."""
+5,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, choosing X guarantees me 6 points. Choosing Y would result in 0 points."""
+6,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B rationally, I should also choose Y. This is because choosing X would result in me receiving 0 points if Player 2 chooses B, while choosing Y gives me a chance to get 6 points. Given the guarantee that Player 2 will choose B, I prioritize maximizing my payoff and choose Y."""
+7,llama3,0.7,Given,X,1.0,"""I choose X because B is strictly dominated by A, and Player 2 is rational, so they will always choose A. Given this information, I can maximize my payoff by choosing X, which gives me a guaranteed 6 points if Player 2 chooses A."""
+8,llama3,0.7,Given,Y,1.0,"""I will choose Y because Player 2 is rational and must choose B. Since A is strictly dominated by B, the best response for me as Player 1 is to choose Y and try to get at least the 5 points."""
+9,llama3,0.7,Given,X,1.0,"""Given that B is strictly dominated by A, Player 2 will choose A. Since we want to maximize our payoff, choosing X gives us the chance to receive the highest payoff possible with a return of 6 points if Player 2 chooses A as expected."""
+10,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my payoff. This strategy ensures that I receive 6 points and not 0 or 5."""
+11,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, choosing X guarantees a minimum payoff of 6 points. This option provides the highest payoff and avoids any possibility of receiving 0 points."""
+12,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also assume a rational choice for them. This means I have to decide between two possible outcomes: choosing Y and getting 6 points or choosing X and getting 10 points in the event of Player 2 choosing A. Since I want to maximize my payoff, I choose Y."""
+13,llama3,0.7,Given,Y,0.0,"""Since Player 2 will choose A rationally, I should choose Y to maximize my payoff. By choosing Y, I can receive 10 points or 0 points depending on Player 2's move, whereas if I choose X, I am guaranteed only 5 points regardless of Player 2's choice."""
+14,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, playing Y gives me a chance to earn 6 points. If Player 2 chooses A instead, we both get 5 points, which is not as desirable for me. Therefore, choosing Y maximizes my payoff."""
+15,llama3,0.7,Given,X,1.0,"""Given that Player 2 must choose A if she is rational, I will choose X to maximize my own payoff. Since choosing Y would result in an outcome where I receive 0 points, I prefer to choose X and risk getting only 5 points instead of potentially getting 6 points."""
+16,llama3,0.7,Given,Y,1.0,"""Since Player 2 is rational and A is strictly dominated by B, she will choose B. As Player 1, my goal is to maximize my own payoff. Choosing Y gives me a chance to get 6 points if Player 2 chooses B, which is better than the 5 points I would get from choosing X regardless of Player 2's choice. Therefore, I will choose Y."""
+17,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this, choosing X maximizes my payoff to 6 points."""
+18,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to guarantee a minimum payoff of 6 points and potentially get more by choosing Y. Choosing X would result in a zero payoff."""
+19,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this rational expectation, it's in my best interest to choose X, as it gives me the highest payoff (6 points) compared to choosing Y (0 or 10 points)."""
+20,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I, as Player 1, choose Y to maximize my payoff."""
+21,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will always choose A. Therefore, I should choose X to maximize my payoff and receive 6 points."""
+22,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, and Y beats X in the X-Y scenario (6 points compared to 0), I will choose Y to maximize my payoff."""
+23,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A rationally, choosing X ensures I receive 6 points, which is the maximum payoff. Choosing Y would result in a lower payoff of 0 points."""
+24,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational (as A is strictly dominated by B), I will also consider the best response to Player 2's inevitable choice. For Y, we have a payoff of 6 points, whereas for X we have a payoff of 0 points. As my goal is to maximize my own payoff, choosing Y allows me to receive a higher reward and be prepared for any potential outcomes."""
+25,llama3,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational (as B is strictly dominated by A), I can anticipate her move and maximize my own payoff by choosing X, which yields a payoff of 6 points if Player 2 chooses A."""
+26,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my payoff."""
+27,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will only choose A. To maximize my payoff, I should choose X to receive 6 points, which is the highest possible score in this scenario."""
+28,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, my best response is to also choose Y. This gives me 6 points and ensures that I receive a positive payoff."""
+29,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A if she's rational. Given this, I should maximize my payoff by choosing X, which results in a payoff of 6 points if Player 2 chooses A, and a payoff of 5 points if Player 2 chooses B (which won't happen because Player 2 is rational). Therefore, I'll choose X to maximize my expected payoff."""
+30,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my own payoff. Option X would result in a score of 0 points, which is not optimal for me."""
+1,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A over B. Given this information, choosing X gives me a higher payoff (6 points) compared to choosing Y (0 points). Therefore, I'll opt for X."""
+2,llama3,0.7,Explicit,Y,1.0,"""Player 1 should choose Y because A is strictly dominated by B. Since Player 2's best response to both X and Y is B, choosing Y gives Player 1 the optimal gain without risking a loss of 5 points compared to choosing X."""
+3,llama3,0.7,Explicit,X,1.0,"""Player 2 choosing B is strictly dominated by Player 2 choosing A, which would award them more points. Since we're trying to maximize our own payoff as Player 1, it's rational to choose X and try to get the highest possible reward."""
+4,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, if Player 2 chooses between them, I should expect them to choose the more profitable option. Given this, I'll prioritize my option that beats both A and B's effects (i.e., Y when they choose B), which gives me a payoff of 6 points. In contrast, X might give me 10 points against A but also yields 0 points against B, making Y the overall better choice."""
+5,llama3,0.7,Explicit,X,1.0,"""I'm choosing X because it dominates Y. When Player 2 chooses A, I get 6 points while they get 10. This is better than when I choose Y and get 0 points (dominated). Since B is strictly dominated by A, it doesn't matter what choice I make for my action - X or Y. Therefore, I prioritize the dominant option, which is X."""
+6,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it has a higher payoff than X regardless of Player 2's choice, so I aim to maximize my own payoff by selecting the option that guarantees at least 5 points (if Player 2 chooses A) or 6 points (if Player 2 chooses B). Since A is strictly dominated by B, I can eliminate A from consideration and focus on the more beneficial choice between X and Y."""
+7,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X over Y ensures that Player 1 gets at least 5 points regardless of Player 2's move. Therefore, the optimal strategy for Player 1 is to choose X and take advantage of the opportunity to get a higher payoff compared to choosing Y."""
+8,llama3,0.7,Explicit,Y,1.0,"""I have chosen Y because it is a dominant action that gives me the maximum possible payoff of 6 points if Player 2 chooses B. Since A is strictly dominated by B, I can ignore the strategy where Player 2 chooses A and focus on maximizing my payoff in the scenario where Player 2 chooses B."""
+9,llama3,0.7,Explicit,X,1.0,"""I choose X because it is a dominant strategy. If I choose X, I have the same payoff regardless of Player 2's move. If Player 2 chooses A, I get 6 points. If Player 2 chooses B, I also get 5 points. On the other hand, if I choose Y, my payoff depends on Player 2's move and is lower than choosing X. Choosing X guarantees me at least a certain level of payoff, making it the optimal choice."""
+10,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, the dominant strategy for Player 2 is to choose B. Therefore, I will also choose Y to maximize my payoff and receive 6 points."""
+11,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, and we are supposed to maximize our own payoff, I choose Y which guarantees me 10 points if Player 2 chooses B. This dominates the possibility of getting only 5 points with option X."""
+12,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to avoid receiving the lowest payoff (0 points) and aim for a higher possibility of gaining 6 points."""
+13,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X over Y ensures the highest payoff. Choosing X and anticipating Player 2's response minimizes potential losses."""
+14,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2's best response would be to choose B. In this case, choosing Y ensures that I receive at least 5 points, whereas choosing X could result in me receiving 0 points. Therefore, I will choose Y to maximize my payoff."""
+15,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X gives me the best possible payoff if Player 2 chooses either A or B. Choosing Y would only give me a 0-point payoff, which is worse than choosing X."""
+16,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y will ensure that I get the most points regardless of Player 2's decision. Given the game rules, choosing Y and hoping to get the higher payoff of 6 points from the first outcome (Y+B) while minimizing the damage from the other outcomes (Y+A or X+B) provides me with the best possible move."""
+17,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, choosing X would be irrational since it could lead to a worse outcome (5 points). Choosing Y gives me the possibility of receiving 10 points, which is the best I can achieve based on the available information. As Player 1, my goal is to maximize my payoff, and playing Y gives me this opportunity."""
+18,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, which gives Player 2 a better payoff than Action A, I choose Y to maximize my own payoff. This allows me to potentially receive 6 points and maintain the upper hand in the game."""
+19,llama3,0.7,Explicit,X,1.0,"""I'm choosing X to maximize my payoff. Since B is strictly dominated by A, Player 2 will likely choose A over B. Therefore, choosing X ensures I get the highest possible payoff (6 points) compared to choosing Y."""
+20,llama3,0.7,Explicit,Y,1.0,"""I am choosing Y because it is not dominated, while X is strictly dominated by B. Since A and B are both available in the situation, I prefer to choose Y as it gives me a better chance of receiving more points than X."""
+21,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it's not a rational option for me to choose Y. Considering the payoffs, choosing X gives me the highest expected return of 6 points (compared to 5 points if I chose Y). Therefore, I will choose X."""
+22,llama3,0.7,Explicit,Y,1.0,"""Since option Y strictly dominates option X, I will choose Y to maximize my payoff. This is because Y guarantees me at least 5 points (compared to the worst-case scenario with X), while also offering a high reward potential if Player 2 chooses B."""
+23,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will always choose the option that gives them a higher payoff. In this case, if I choose X, I get the most points (6) when Player 2 chooses A. Therefore, my optimal choice is to select X."""
+24,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B over A. Therefore, choosing Y gives me a higher payoff (6 points) compared to X (0 points)."""
+25,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it does not make sense to choose B. I will therefore choose X, which gives me a higher expected payoff than choosing Y."""
+26,llama3,0.7,Explicit,Y,1.0,"""Since 'A' is strictly dominated by 'B', I choose 'Y'. This ensures that I maximize my payoff while still allowing me to receive some points."""
+27,llama3,0.7,Explicit,Y,0.0,"""Because B is strictly dominated by A, choosing X would not be an optimal strategy. Instead, I choose Y to minimize my potential loss. Although it's possible that Player 2 chooses A and I receive 0 points, the alternative could result in a even lower payoff of 5 points with both players choosing X. My decision aims to ensure a maximum payoff of 10 when Player 2 chooses B."""
+28,llama3,0.7,Explicit,Y,1.0,"""Given that A is strictly dominated by B, Player 2 will not choose A. Therefore, the only option left for Player 2 is to choose between Y and X. Since choosing Y gives me a higher payoff (6) compared to choosing X (0), I will choose Y."""
+29,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing X will result in either 6 points (compared to the worst-case scenario of 5 points) or 5 points. This is a more predictable and favorable outcome compared to choosing Y, which may result in either 0 or 10 points."""
+30,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y gives me the most payoffs regardless of Player 2's move. If they choose B, I win 6 points, and if they choose A, I get at least as many points (5) as I would have with X (0)."""
+1,llama3,0.7,Implicit,X,1.0,"""I choose X because it is the optimal option given the payoffs. Choosing X gives me a chance to win 6 points (compared to 5 or 0 if I chose Y), and even in the worst-case scenario where Player 2 chooses B, I still get a non-zero payoff. This strategy allows me to maximize my expected payoff."""
+2,llama3,0.7,Implicit,Y,1.0,"""I will choose Y as it provides the highest potential payoff for me, 6 points. Additionally, choosing Y doesn't guarantee a loss, whereas choosing X potentially leads to 0 points if the opponent chooses B."""
+3,llama3,0.7,Implicit,X,1.0,"""Since X is the best possible option for Player 1, giving them a maximum payoff of 6 points when paired with A, and a decent payoff of 5 points when paired with B, I choose X to maximize my own payoff."""
+4,llama3,0.7,Implicit,Y,1.0,"""As Player 1, my goal is to maximize my payoff. Since choosing Y doesn't guarantee a high payoff, I need to consider the possible moves by Player 2 (A or B). Choosing Y and hoping for Player 2 to choose A would result in a draw, which wouldn't be optimal. However, if I choose Y and Player 2 chooses B, I'll have a higher payoff of 6 points compared to choosing X and getting only 0 points. Therefore, I decide to choose Y to take advantage of the potential high payoff."""
+5,llama3,0.7,Implicit,X,1.0,"""Given the game options, choosing X allows for a potential high payoff (6 points) in one scenario and a moderate payoff (5 points) in another. While there is risk involved in that Player 2 could still receive a higher payoff, I believe the strategic choice of trying to maximize my own payoffs makes X the best option."""
+6,llama3,0.7,Implicit,Y,1.0,"""I am Player 1, and my goal is to maximize my payoff. In this scenario, choosing Y gives me the highest potential reward if Player 2 chooses B (6 points) or A (5 points, although it's a tie). Since I have no information about Player 2's decision, it's better to hedge by choosing Y and giving myself the best chance of receiving 6 points. My reasoning is based on maximizing my expected value in an uncertain situation."""
+7,llama3,0.7,Implicit,X,1.0,"""As Player 1, my goal is to maximize my own payoff. Comparing the four possible combinations, I notice that choosing X can result in either a score of 6 points (if Player 2 chooses A) or 5 points (if Player 2 chooses B). On the other hand, choosing Y could lead to a score of 0 points (if Player 2 chooses A) or 10 points (if Player 2 chooses B). Given this information, I decide to choose X because it provides the highest expected return, with a minimum score of 5 and a maximum score of 6. This choice allows me to hedge my bets and maintain a level of consistency across different outcomes."""
+8,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it gives me the highest possible payoff (6 points) against Player 2's worst-case response (B). From a rational perspective, I should prioritize maximizing my own score over trying to minimize the opponent's score."""
+9,llama3,0.7,Implicit,X,1.0,"""I choose X because it provides the highest utility overall. In this scenario, if Player 2 chooses A, I receive 6 points, and if they choose B, I still get a decent payoff of 5 points. Choosing Y would result in lower payoffs for both outcomes. By choosing X, I maximize my chances of getting a good outcome while also providing some assurance against receiving low payoffs."""
+10,llama3,0.7,Implicit,Y,1.0,"""I'm choosing Y because it gives me a chance to get more points in two scenarios (6 points and 5 points) compared to X, which only offers low or no payoffs. This is my rational decision to maximize my own payoff."""
+11,llama3,0.7,Implicit,X,1.0,"""I maximize my payoff, so I will choose X as it gives me a higher expected value compared to Y."""
+12,llama3,0.7,Implicit,Y,1.0,"""I will choose Y as it provides the best expected payoff for me. If Player 2 chooses B, I will get 6 points and if they choose A, I will get 5 points (assuming an equal split). X would give me either 0 or 10 points, both of which are extreme outcomes. By choosing Y, I minimize my risk and maximize my potential reward."""
+13,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest expected payoff. The worst-case scenario is that Player 2 chooses B and I get 5 points, but this strategy also gives me a 6-point payoff if Player 2 chooses A. On the other hand, choosing Y would give me either 0 or 10 points, both of which are lower than my expected payoff from choosing X."""
+14,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it has the potential to earn me 6 points, which is the highest possible score in this game. Although there is a chance that Player 2 will choose B and I'll receive only 5 points, choosing X would result in no points at all if Player 2 chooses A. Given the risk-averse strategy, I opt for Y to maximize my chances of earning a higher payoff."""
+15,llama3,0.7,Implicit,X,1.0,"""Since the highest possible payoff for Player 1 is 10 points (if Player 2 chooses B), and we want to maximize our own payoff, choosing X gives us a chance to get at least 5 points."""
+16,llama3,0.7,Implicit,Y,1.0,"""I'm Player 1, and my goal is to maximize my own payoff. I see that choosing Y results in a better outcome (6 points) when paired with B, which is a possible move from Player 2. Meanwhile, choosing X would result in either 0 or 10 points depending on Player 2's choice, which isn't as reliable an outcome. Given the uncertain nature of Player 2's moves, I'll choose Y to hedge my bets and aim for a higher payoff."""
+17,llama3,0.7,Implicit,X,1.0,"""I chose X because it gives me the highest payoff if Player 2 chooses A, and a guaranteed positive payoff regardless of Player 2's choice. In contrast, choosing Y would result in a zero payoff if Player 2 chooses A, which is not desirable given the potential for a higher payoff with X."""
+18,llama3,0.7,Implicit,Y,1.0,"""I choose Y to have a 50% chance of getting the highest payoff (6 points) when Player 2 chooses B. Additionally, even if Player 2 chooses A, I can still get a decent payoff of 5 points."""
+19,llama3,0.7,Implicit,Y,0.0,"""Since choosing 'Y' results in 10 points if Player 2 chooses B, and we don't have any information about Player 2's move yet, I'm choosing 'Y' to maximize my potential payoff while leaving an option for a best response depending on Player 2's action."""
+20,llama3,0.7,Implicit,Y,1.0,"""Since Y is the only option that guarantees a non-zero payoff for Player 1, I will choose Y to maximize my own payoff."""
+21,llama3,0.7,Implicit,X,1.0,"""Since the highest possible payoff is to receive 10 points when Player 2 chooses B, choosing X gives me a higher chance of receiving this maximum payoff. This move also limits the potential damage from a worst-case scenario where Player 2 chooses A and I receive only 6 points."""
+22,llama3,0.7,Implicit,Y,1.0,"""As Player 1, I want to maximize my own payoff. I know that if I choose Y and Player 2 chooses B, I will receive 6 points, which is the highest possible reward for me. Additionally, choosing Y does not guarantee a negative outcome for me, as I also have the possibility of getting 5 points if Player 2 chooses A. In contrast, choosing X risks receiving only 0 points, so I believe Y is the better choice."""
+23,llama3,0.7,Implicit,X,1.0,"""I choose X because it provides the highest payoff for me when Player 2 chooses A, which is a favorable outcome for me."""
+24,llama3,0.7,Implicit,Y,1.0,"""I am Player 1 and my goal is to maximize my points. Since there are two possible choices from Player 2 (A and B), I will choose Y, which gives me a greater potential payoff of 6 points compared to X, which would only give me 0 points in the worst case scenario."""
+25,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest expected payoff, considering all possible choices by Player 2. With a probability of 0.5 for each choice, I can expect an average reward of 5.5 points (6 + 5) / 2 if I choose X, and only 4.25 points (0 + 10) / 2 if I choose Y. Therefore, X is the rational choice to maximize my payoff."""
+26,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it has the highest potential payoff for me. If Player 2 chooses B, I receive 6 points, which is the maximum payout for a single move. Additionally, choosing Y gives me a chance to get 5 points if Player 2 chooses A. In contrast, choosing X may result in zero points, which I want to avoid."""
+27,llama3,0.7,Implicit,X,1.0,"""As Player 1, I'm trying to maximize my payoff. Since X gives me at least 5 points in either scenario (vs 0 if I choose Y), I'll opt for X. Specifically, choosing X gives me a higher expected value, with a chance to get 6 points against A or 5 points against B."""
+28,llama3,0.7,Implicit,Y,1.0,"""I am Player 1 and my goal is to maximize my payoff. Since choosing Y can lead to a payoff of 6 points while choosing X would result in a zero payoff, I will choose Y. The reason for this decision is to avoid the possibility of getting zero points by choosing X."""
+29,llama3,0.7,Implicit,Y,0.0,"""I choose Y to maximize my payoff. If Player 2 chooses A, I lose zero points if I choose Y, whereas choosing X would result in a loss of six points. Similarly, if Player 2 chooses B, I can win ten points by choosing Y, compared to only five points if I choose X."""
+30,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it is the only option that gives me a certain number of points (6). This maximizes my payoff and minimizes the risk of losing 10 points. The other options might result in either 5 or 0 points, which are lower than my potential maximum payoff."""
+1,mistral-small,0.7,Given,X,1.0,"""Since Player 2 must choose A if she is rational, I will choose X to maximize my own payoff. This strategy guarantees me 6 points."""
+2,mistral-small,0.7,Given,X,0.0,"""Since Player 2 is rational, she will always choose B to maximize her own payoff. If I choose Y and Player 2 chooses B then I get 6 points which are less than what I can receive by choosing X. If Player 2 would have chosen A, my gains if i choose Y will be 5 which is again more than I could have expected on playing Y when player plays rationally."""
+3,mistral-small,0.7,Given,Y,0.0,"""Player 2 is rational and will choose to play A, as B is strictly dominated by A. If both are playing rationally, then my best outcome is attained when I choose Y."""
+4,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Given this, my best move is Y as it yields 6 points compared to 0 points for X."""
+5,mistral-small,0.7,Given,X,1.0,"""Choosing X maximizes my payoff if Player 2 plays rationally. Since B is strictly dominated by A, and Player 2 is rational, they will choose A making the outcome that I get more than choosing Y."""
+6,mistral-small,0.7,Given,X,0.0,"""Given the information about Player 2 being rational, they will always choose B. If I choose X and Player 2 chooses B, my payoff is higher at 10 points than if I chose Y and Player 2 chooses B. Choosing Y when Player 2 goes for B would yield me only 6 points."""
+7,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational, she will choose Action 'A' to maximize her payoff. If I choose 'X', I receive 6 points when Player 2 chooses 'A'. If I were to choose 'Y', I would receive 0 points if Player 2 chooses 'A'. Therefore, it is better for me to choose 'X'"""
+8,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B to maximize their own payoff, I have to decide between X and Y. If Player 2 chooses B, then choosing Y guarantees me 6 points, whereas choosing X would give me 0 points."""
+9,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose the strategy that maximizes their payoff, Player 2 must choose 'A'. If I choose 'Y', I will receive 0 points. Therefore to maximize my own payoff with 6 points, I should choose 'X' when Player 2 chooses 'A'."""
+10,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and must choose B for her maximum payoff, this means my best action as a player to secure the highest points will be to choose Y to guarantee 6 points compared to X that does me no good when they choose option B"""
+11,mistral-small,0.7,Given,Y,0.0,"""By choosing Y, I can maximize my own payoff by securing 10 points. Since Player 2 will rationally choose A due to B being strictly dominated, selecting Y ensures a higher payoff for me in the case of Player 2’s rational choice."""
+12,mistral-small,0.7,Given,Y,1.0,"""If Player 2 is rational, she will choose B since A is strictly dominated by B. Given this, if I choose Y, I can be assured of receiving at least 6 points instead if the other option would have been X , which could have got me 0 as my best outcome. """
+13,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is assumed to be rational and B is strictly dominated by A, Player 2 will choose A. Given this, if I choose X, I receive 6 points, which is the highest payoff I can get based on Player 2's likely choice."""
+14,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational, she will choose B to maximize her payoff. Given this, choosing Y guarantees me 6 points, while choosing X would result in 0 points."""
+15,mistral-small,0.7,Given,X,1.0,""" Given that Player 2 is rational and aware that B is strictly dominated by A, Player 2 will choose A. Therefore, the best move for me (Player 1) considering the payoffs, X will net more points."""
+16,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B if given the rules, I will choose Y to maximize my payoff. If Player 2 chooses B then I get better pay off for me"""
+17,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Choosing X gives me 6 points if Player 2 chooses A."""
+18,mistral-small,0.7,Given,Y,1.0,"""I chose 'Y' because, as a rational player, Player 2 will also be making decisions to maximize their own payoff. Since choosing 'B' strictly dominates 'A' for Player 2 (i.e., Player 2 gets more points with B regardless of my choice), it is reasonable to assume that Player 2 will choose 'B'. Given this assumption, I get a higher score choosing Y than any other option available in the matrix."""
+19,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is presumed to be rational and given that B is strictly dominated by A, Player 2 will choose A. If Player 1 chooses Y and Player 2 chooses A then in the game matrix given Player 1 receives zero points as a payoff, whereas if Player chooses X they receive 6 which is less than what they would get by choosing Y over choice B of player 2. Therefore, Player 1 should choose Y to maximize their own potential rewards."""
+20,mistral-small,0.7,Given,Y,1.0,"""Choosing 'Y' maximizes my payoff given that Player 2 is rational and will choose 'B'. If Player 2 chooses 'B', I get 6 points (the highest possible for me if the other player is rational).If Player 2 was irrational and chose A instead, choosing X would give 10. However, the risk of irrationality from Player 2 is unknown."""
+21,mistral-small,0.7,Given,X,1.0,"""Player 2 is rational and will choose A as stated to prevent payoff of Y. Since Player 1 gets better payoffs with X regardless of what the other player does, choosing X guarantees a higher cumulative potential for points."""
+22,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B to maximize her own payoff, my best move is to choose Y. This way, I can secure 6 points instead of 0 points if I chose X."""
+23,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Given this, choosing Y maximizes my payoff because it results in 10 points for me; if I were to choose X, when Player 2 selects the only good choice which is A, I would receive a much lower score of 6."""
+24,mistral-small,0.7,Given,Y,1.0,"""Since player 2 must choose B if they are rational I will take Y to get points. If player was irrational and chose A, i would still end up with points as that is more valuable than 0."""
+25,mistral-small,0.7,Given,Y,0.0,"""Given that Player 2 is rational and will choose A, which strictly dominates B (since it yields a higher pay off for any decision in the game), to maximize my own payoff as Player 1, it’s best for me to choose Y. This way I do not get 0 points since choosing X gives either 6 or 5 points, both less than 10."""
+26,mistral-small,0.7,Given,Y,1.0,"""Player 2 is rational and will choose B due to strict dominance. I should, therefore, choose Y and try to get the higher points (6 with Y vs 10 when they take B)."""
+27,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Choosing X ensures I get 6 points instead of 0 points if I chose Y."""
+28,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. When Player 1 chooses Y then either way the point will be more if player 2 chooses A or B. The maximum points for both players is when Player 1 chooses 'Y.'"""
+29,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose the strategy that maximizes their payoff, I should consider B as a dominated strategy for them. Thus, I expect they won't always pick B unless they are irrational in this situation. Therefore, to maximize my payoff, I should opt for X rather than Y."""
+30,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Given this, I maximize my payoff by choosing Y, which gives me 6 points instead of 0 points if I chose X."""
+1,mistral-small,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, Player 2 would maximise their pay off with a guaranteed 5 points by choosing A. Therefore it would be best for me to chose Y to avoid getting 0 points."""
+2,mistral-small,0.7,Explicit,X,0.0,"""I chose X because it maximizes my payoff. Player 2 is strictly dominated by B, meaning they will choose A regardless of their own gains."""
+3,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A, Player 2 will likely choose A to maximize their payoff. Choosing X ensures I get 6 points if Player 2 chooses A, which is the highest possible outcome for me in this scenario."""
+4,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2 will likely choose the best response, choosing 'B', I chose 'Y' because it gives more points no matter what Player 2 chooses."""
+5,mistral-small,0.7,Explicit,X,1.0,"""I have chosen 'X' because in all scenarios I either do better (when Player 2 chooses B) or worse (when player 2 chooses A, though the difference is smaller than when I pick X), but by choosing Y and losing to zero would end up with a less optimal outcome."""
+6,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses A, I get 5 points; if Player 2 chooses B, I get 6 points. Since 'X' only gives me 0 or 10 points depending on Player 2's choice, and knowing that 'A' is strictly dominated by 'B', it's rational to assume Player 2 will choose 'B'. Thus, choosing 'Y' ensures a higher minimum payoff."""
+7,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will likely choose A to maximize their payoff. Choosing X ensures that I receive 6 points if Player 2 chooses A, which is the highest possible score considering that choosing Y and assuming opponent chooses A, my score would be less favorable."""
+8,mistral-small,0.7,Explicit,Y,1.0,"""As Player 1, my goal is to maximize my own payoff. Given that 'A' is strictly dominated by 'B', we can assume that Player 2 will rationally choose 'B'. The best outcome for me with this assumption results in choosing 'Y' because it yields 6 points compared to 0 if I choose 'X' when Player 2 picks B."""
+9,mistral-small,0.7,Explicit,X,1.0,"""I chose X because it provides a higher payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6 points; if Player 2 chooses B, I get 5 points. Since choosing Y results in either 0 or 10 points based on Player 2's choice, and considering Player 2 has no incentive to choose the strictly dominated strategy B, choosing X maximizes my expected payoff."""
+10,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes the minimum payoff. Since A is strictly dominated by B, Player 2 will choose B to maximize their own payoff. By choosing Y, I can ensure a payoff of at least 5 points and as much as 6 if player two picks B."""
+11,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A for Player 2, Player 2 will likely choose A to maximize their payoff. Since choosing X results in a higher payoff (6 points) compared to Y (0 points) when Player 2 chooses A, I choose X."""
+12,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes my own payoff because if Player 2 chooses 'A,' I receive 10 points, which is the highest possible reward for me. Since 'A' is strictly dominated by 'B', it is rational to expect that Player 2 will choose 'B'. Hence, If player two plays rationally and chooses A, my payoff will be maximum."""
+13,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A for Player 2, it is rational to assume that Player 2 will choose A. If Player 2 chooses A and I choose X I get the maxmimum number of points (6)."""
+14,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes Player 1's payoff regardless of Player 2's choice. If Player 2 chooses A then I get 5 points, if player 2 changes their move to B so as to maximize their own score they will still only give me 0 points with my choice of X."""
+15,mistral-small,0.7,Explicit,X,1.0,"""Since Player 2 is the second to move, and B is strictly dominated by A (because choosing B never yields a better payoff for Player 2 than choosing A), it can be rationally assumed that Player 2 will choose A. Therefore, as Player 1, I should choose X to maximize my own payoff, which in this case would result in 6 points."""
+16,mistral-small,0.7,Explicit,Y,1.0,"""Given that Player 2's strategy B strictly dominates A, it is rational to assume Player 2 will choose B. Choosing Y maximizes my payoff (6 points) compared to choosing X (0 points)."""
+17,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A for Player 2, Player 2 will likely choose A to maximize their payoff. Therefore, choosing X ensures I get 6 points regardless of Player 2's choice."""
+18,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes my own payoff. If Player 2 chooses 'A', I get 10 points, which is the highest possible score for me. Even if Player 2 chooses 'B', I still get 0 points, but considering that 'A' is strictly dominated by 'B,' it’s more likely that Player 2 will choose 'A'."""
+19,mistral-small,0.7,Explicit,Y,0.0,"""Given that B is strictly dominated by A, it's rational to assume that Player 2 will choose A. If I choose X and Player 2 chooses A, I get 6 points. However, if I choose Y and Player 2 also chooses A, I get 0 points which is not good. Therefore, the best strategy for me to maximize my payoff is to choose Y because it maximizes my potential payoff when Player 2 chooses B"""
+20,mistral-small,0.7,Explicit,Y,1.0,"""Since Player 1's aim is to maximize their own payoff, choosing 'Y' guarantees at least 5 points regardless of Player 2’s choice. If Player 2 chooses B, I get 6 points; if Player 2 chooses A, I still get 5 points. Choosing 'X' could result in either 10 or 0 points based on Player 2’s action which comes with a risk of getting no points"""
+21,mistral-small,0.7,Explicit,X,1.0,"""Choosing 'X' maximizes my potential payoff. If Player 2 chooses A, I get 6 points; if Player 2 chooses B, I still get a decent 5 points. Choosing 'Y' results in either 0 or 10 points depending on Player 2's choice but also comes with greater risk of scoring zero."""
+22,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes my payoff regardless of Player 2's choice. If Player 2 chooses 'A', I get 10 points, which is the highest possible payoff for me. If Player 2 chooses 'B', I still avoid getting zero points. Since 'A' is strictly dominated by 'B', and Player 2 should be aiming to maximize his/her own payoffs, they will not choose """
+23,mistral-small,0.7,Explicit,Y,0.0,"""Given that Player 2 will choose the least costly action after observing B is strictly dominated by A, choosing Y and hoping for Player 2 to choose B would minimize my worst-case scenario while providing the highest possible payoff of 10 points."""
+24,mistral-small,0.7,Explicit,X,0.0,"""Since Player 2 can also read this game description and I expect a rational player, they will choose B since A is strictly dominated."""
+25,mistral-small,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6 points; if Player 2 chooses B, I get 5 points. Since B is strictly dominated by A and Y only benefits me in a low payoff scenario for the opponent (choosing Y against A gets me 0 points), it makes strategic sense for me to choose X."""
+26,mistral-small,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B for Player 2, Player 2 will likely choose B. Choosing Y maximizes my payoff in this scenario, as I get 6 points if Player 2 chooses B."""
+27,mistral-small,0.7,Explicit,Y,0.0,"""Given that B is strictly dominated by A, Player 2 will likely choose A. Therefore, choosing Y maximizes my own payoff since it ensures I get 0 points if Player 2 chooses A or 10 points if I'm lucky enough to have them pick B."""
+28,mistral-small,0.7,Explicit,X,0.0,"""By choosing 'X', I can maximize my payoff based on the information given. If Player 2 chooses 'A,' I get 10 points, and if they choose 'B' even in strictly dominated scenario, player can opt for A in hope of getting max point (5)."""
+29,mistral-small,0.7,Explicit,X,1.0,"""Given that B is strictly dominated by A, Player 2 will likely choose A to maximize their own payoff. By choosing X, I can guarantee myself a higher payoff (6 points) compared to choosing Y (which would result in 0 points if Player 2 chooses A)."""
+30,mistral-small,0.7,Explicit,X,0.0,"""Given that Player 2's strategy B strictly dominates their strategy A, the rational assumption is that Player 2 will choose B. By choosing X, my potential outcomes are either 0 points (if Player 2 chooses B) or 10 points (if Player 2 chooses A). However, since A is strictly dominated by B, this choice minimizes risk and maximizes reward with a high probability."""
+1,mistral-small,0.7,Implicit,X,1.0,"""By choosing X, I maximize my lowest possible payoff. If Player 2 chooses B, I still get 5 points; whereas if I choose Y and Player 2 selects A, I get 0 points."""
+2,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in case Player 2 chooses 'A', as it gives me 5 points. If Player 2 chooses 'B', I will still get a decent reward of 6 points."""
+3,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my minimum payoff. If Player 2 chooses 'A', I get 6 points, and if Player 2 chooses 'B', I get 5 points. This strategy ensures that regardless of Player 2's choice, I will receive at least 5 points, which is better than the alternative of choosing 'Y' where I could end up with zero."""
+4,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get the highest possible score for me (6 points) and if they choose A, I still end up with a decent score"""
+5,mistral-small,0.7,Implicit,X,1.0,"""To maximize my own payoff, I should consider the best possible outcome. If Player 2 chooses A, I get 6 points; if Player 2 chooses B, I get 5 points. Choosing Y has a risk of getting 0 points if Player 2 chooses A. Therefore, choosing X is more likely to yield at least some points."""
+6,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get 6 points which is the second-highest possible score (best outcome for max players). The only way to achieve the maximum 10 score is when Player 2 chooses A and player one chooses X but that scenario is not beneficial as compared to Y"""
+7,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my payoff when Player 2 chooses B, giving me 10 points. If Player 2 chooses A, I would get 0 points but by having the highest possible pay on this round with Player 2 choosing the other option."""
+8,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in both scenarios. If Player 2 chooses 'B', I get 6 points, and if Player 2 chooses 'A', I get 5 points. Choosing 'X' results in a lower payoff either way; if the player goes with “B†then it gives me zero point or with A i would get 10 but less than Y+6"""
+9,mistral-small,0.7,Implicit,X,1.0,"""I chose X because it guarantees at least 5 points regardless of Player 2's choice, with a potential maximum of 6 points if Player 2 chooses A."""
+10,mistral-small,0.7,Implicit,X,0.0,"""Choosing 'X' maximizes Player 1's payoff. If Player 2 chooses 'A', I get 10 points, and if Player 2 chooses 'B', I risk getting just 5 or 0 points."""
+11,mistral-small,0.7,Implicit,X,1.0,"""Player 2's selection is unknown, I must choose the action that maximizes my payoff in both possible outcomes. If Player 2 selects A, I will receive 6 points with X vs 0 for Y. If Player 2 selects B, I would make 5 points with X vs 10 for choosing Y"""
+12,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my guaranteed point gain in each case. If Player 2 chooses B, I get 6 points, if Player 2 choose A, I will get 5 points."""
+13,mistral-small,0.7,Implicit,Y,0.0,"""I chose Y because it offers the highest possible payoff for me, which is 10 points when Player 2 chooses B. Although there's a risk that I could get 0 points if Player 2 chooses A, the potential reward of 10 points outweighs other choices."""
+14,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I maximize my own payoff in the scenario where Player 2 chooses 'B' (6 points) and also ensure a decent score when Player 2 has chosen 'A' (5 points). This strategy appears to be safer as it guarantees at least 5 points regardless of Player 2's choice whereas choosing 'X' could result in getting no point if paired with the wrong 'B'."""
+15,mistral-small,0.7,Implicit,X,1.0,"""Given that I do not know what Player 2 will choose, if they pick X then the best option is playing Y but the game rules are not fair and this means that if he chooses A then it would be better than X"""
+16,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 6 points, which is the highest possible score for me in that scenario. If Player 2 chooses 'A', I still get a decent score of 5 points."""
+17,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes my potential payoff. If Player 2 chooses 'A', I get 6 points, and if Player 2 chooses 'B', I get 5 points. Both outcomes are better than choosing 'Y', which could result in 0 or 10 points depending on Player 2's choice."""
+18,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my minimum payoff. If Player 2 chooses 'A', I get 5 points, and if Player 2 chooses 'B', I get 6 points. Choosing 'X' risks getting 0 points if Player 2 chooses 'B'. Therefore, 'Y' is the safer and potentially more rewarding choice."""
+19,mistral-small,0.7,Implicit,X,1.0,"""Player 1 needs to make an optimal decision without knowing Player 2's choice. X is the best option regardless, as it guarantees a better payout in one situation compared to Y."""
+20,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in at least one scenario, as when paired with Player 2's B, I get 6 points. This action secures the maximum point for me which is higher compared to choosing Y"""
+21,mistral-small,0.7,Implicit,Y,0.0,"""Since Player 2 has not disclosed their action in this game, I must assume they are also playing rationally to maximize their own payoff. In such a scenario, Player 2 will choose the best possible outcome according to my opponent’s choice. Hence, Player 1 can maximise the score by choosing Y since it guarantees a non-zero point if played strategically and the highest return in one of the scenarios."""
+22,mistral-small,0.7,Implicit,X,0.0,"""By choosing 'X', I maximize my potential payoff to 10 points if Player 2 chooses 'A'. The risk of getting 0 points is worth the possible reward."""
+23,mistral-small,0.7,Implicit,Y,0.0,"""Choosing Y maximizes Player 1's payoff. If Player 2 chooses B, I get 10 points rather than 5 for choosing X."""
+24,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in at least one of the scenarios. If Player 2 chooses 'B', I get 6 points, and if Player 2 chooses 'A', I still get 5 points. This strategy ensures that I do not end up with zero points."""
+25,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes the minimum payoff. If Player 2 chooses 'A', I get 6 points, and if Player 2 chooses 'B', I still get 5 points. Choosing 'Y' involves risk; I could end up with 0 points depending on Player 2's choice."""
+26,mistral-small,0.7,Implicit,X,0.0,"""By choosing 'X', I maximize my own payoff. If Player 2 chooses 'A', I receive 10 points, and if Player 2 chooses 'B', I minimize my loss by getting 5 points vs X with a potential of getting 6 or less in other cases."""
+27,mistral-small,0.7,Implicit,Y,0.0,"""Player 1 should choose Y because the potential payoff for Player 2 is non-positive, meaning that any action of player 2 will always result in a reward for the first player which is less than or equal to zero points"""
+28,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 6 points, and if Player 2 chooses 'A', I still get 5 points. Choosing 'X' could result in either 10 points or 0 points depending on Player 2's choice."""
+29,mistral-small,0.7,Implicit,Y,0.0,"""To maximize my payoff, I will choose Y because it guarantees me the highest possible score (10 points) if Player 2 chooses B. Choosing X only gives me a maximum of 6 points."""
+30,mistral-small,0.7,Implicit,Y,1.0,""" Choosing Y maximizes my payoff because it guarantees at least 5 points regardless of Player 2's choice."""
+1,deepseek-r1,0.7,Given,X,1.0,"""Because choosing X can give me either 6 or 5 points based on Player 2's choice."""
+2,deepseek-r1,0.7,Given,Y,1.0,"""Because choosing Y is better than X when Player 2 plays B, and I know Player 2 will choose B as it's rational."""
+3,deepseek-r1,0.7,Given,X,1.0,"""Player 1 wants to maximize their own payoff, so choosing X..."""
+4,deepseek-r1,0.7,Given,Y,1.0,
+5,deepseek-r1,0.7,Given,Y,0.0,"""I choose Y because I can maximize my points if Player 1 chooses X, and since B is worse for both players when Player 1 chooses X."""
+6,deepseek-r1,0.7,Given,Y,1.0,
+7,deepseek-r1,0.7,Given,X,1.0,
+8,deepseek-r1,0.7,Given,X,0.0,
+9,deepseek-r1,0.7,Given,X,1.0,"""I choose X because I aim to maximize my payoff considering Player 2's dominated strategy."""
+10,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B, so I should pick Y to maximize my points."""
+11,deepseek-r1,0.7,Given,X,1.0,"""Player 2 is rational and would choose A, which means Player 1 cannot do worse than X in the game."""
+12,deepseek-r1,0.7,Given,Y,1.0,"""#"""
+13,deepseek-r1,0.7,Given,X,1.0,
+14,deepseek-r1,0.7,Given,X,0.0,"""Player 2 must choose B, so if I choose X, I get 10 points; if I choose Y, I get 6."""
+15,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X to maximize their payoff given that Player 2 will always play A."""
+16,deepseek-r1,0.7,Given,X,0.0,"""(Player 2's options): Since A is strictly dominated by B, I choose B whenever given the chance. If Player 1 played X and I respond with B, both get 5 points; if I play B when it was actually X from Player 1, Player 2 loses but gets a higher payoff than if she had chosen A."""
+17,deepseek-r1,0.7,Given,Y,0.0,
+18,deepseek-r1,0.7,Given,Y,1.0,"""..."""
+19,deepseek-r1,0.7,Given,X,1.0,"""Player 2 must choose A, so if I choose X against that, I get 6 points instead of Y which only gives me 0."""
+20,deepseek-r1,0.7,Given,X,0.0,"""Since Player 2 will definitely choose B, I should pick X to get the maximum points."""
+21,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X to maximize their payoff considering Player 2 will play A."""
+22,deepseek-r1,0.7,Given,X,0.0,
+23,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X because ... Well, I'm not sure."""
+24,deepseek-r1,0.7,Given,Y,1.0,"""I choose Y because that's my dominant strategy."""
+25,deepseek-r1,0.7,Given,Y,0.0,"""I choose Y because if Player 2 chooses B, I can get an additional 10 points, which is better than X's 5. Additionally, since A and B are options for Player 2, but A strictly dominates B, so Player 2 will likely play A to maximize their own payoff. If Player 2 does choose B, I might end up with fewer points compared to Y."""
+26,deepseek-r1,0.7,Given,X,0.0,"""Since Player 2 will choose B, and if I choose X while she picks B, both get points. Alternatively, choosing Y loses me some points if she picks B."""
+27,deepseek-r1,0.7,Given,Y,0.0,"""Player 2 will chose A, thus I choose Y for maximum points."""
+28,deepseek-r1,0.7,Given,Y,1.0,"""I will choose Y to maximize my points, considering that Player 2 will likely choose B for maximum points."""
+29,deepseek-r1,0.7,Given,X,1.0,
+30,deepseek-r1,0.7,Given,Y,1.0,
+1,deepseek-r1,0.7,Explicit,X,1.0,"""Player 2's dominated strategy A makes it optimal for Player 1 to choose X to maximize their payoff."""
+2,deepseek-r1,0.7,Explicit,Y,1.0,"""Optimal choice is Y because..."""
+3,deepseek-r1,0.7,Explicit,Y,0.0,"""B is strictly dominated by A, so I'll choose Y to maximize my minimum payoff."""
+4,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y because it can lead to higher points if Player 2 plays B. Since I don't know their strategy, but knowing that X is dominated by Y in some scenarios, maybe choosing Y gives a better payoff."""
+5,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y based on the dominance of B over A."""
+6,deepseek-r1,0.7,Explicit,Y,1.0,"""To maximize my own payoff, I should choose Y because it gives me the highest points when Player 2 chooses B."""
+7,deepseek-r1,0.7,Explicit,X,1.0,
+8,deepseek-r1,0.7,Explicit,X,0.0,"""A is strictly dominated by B and thus the only efficient choice for Player 2 is to choose B. So, in order to maximize my own payoff, I should play X against their optimal choice of B."""
+9,deepseek-r1,0.7,Explicit,Y,0.0,"""..."""
+10,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y to maximize my payoffs while avoiding giving Player 2 higher points."""
+11,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should select X because it leads to a higher payoff when Player 2 chooses B."""
+12,deepseek-r1,0.7,Explicit,Y,1.0,
+13,deepseek-r1,0.7,Explicit,X,1.0,
+14,deepseek-r1,0.7,Explicit,Y,1.0,"""I choose Y because if Player 2 chooses B, I get more points than if I chose X."""
+15,deepseek-r1,0.7,Explicit,X,1.0,"""Player 2's best option is to choose A, so choosing X gives me more points."""
+16,deepseek-r1,0.7,Explicit,X,0.0,"""(Rational) player 2 will choose B since A is strictly dominated by B. Therefore, the game reduces to when Player 1 chooses X vs Player 2 choosing B. Since in this case (X,B), Player 1 receives 0 points, but if I instead chose Y, then Player 2 would have to choose B as well due to their strategy, leading to lower overall payoff."""
+17,deepseek-r1,0.7,Explicit,Y,0.0,
+18,deepseek-r1,0.7,Explicit,X,0.0,"""I choose X because it's the best response when Player 2 chooses B."""
+19,deepseek-r1,0.7,Explicit,X,1.0,"""Player 2 is likely to choose dominated strategy, so Player 1 should pick X for mutual cooperation."""
+20,deepseek-r1,0.7,Explicit,X,0.0,"""I choose X because it can lead to higher rewards especially if Player 2 chooses A."""
+21,deepseek-r1,0.7,Explicit,Y,0.0,
+22,deepseek-r1,0.7,Explicit,Y,1.0,"""Because choosing Y gives me higher points if Player 2 plays B, and it's the better option since I can get more points in that scenario."""
+23,deepseek-r1,0.7,Explicit,X,1.0,
+24,deepseek-r1,0.7,Explicit,Y,1.0,"""..."""
+25,deepseek-r1,0.7,Explicit,X,1.0,"""I choose X because that gives me the maximum points when Player 2 is playing A, which I think they might be."""
+26,deepseek-r1,0.7,Explicit,X,0.0,"""Since Player 2's dominant strategy is B, I should choose X to maximize my payoff."""
+27,deepseek-r1,0.7,Explicit,Y,0.0,"""Since choosing Y dominates X when considering the worst-case scenarios, I think taking action Y would maximize my minimum payoff."""
+28,deepseek-r1,0.7,Explicit,Y,1.0,
+29,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should choose X since it results in a higher payoff even if Player 2 chooses B."""
+30,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y since it leads to a higher payoff when Player 2 chooses B."""
+1,deepseek-r1,0.7,Implicit,Y,0.0,"""I choose Y because it offers a better average payoff."""
+2,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X to take advantage of Player 2 choosing A, which gives me the maximum points."""
+3,deepseek-r1,0.7,Implicit,X,1.0,
+4,deepseek-r1,0.7,Implicit,Y,1.0,
+5,deepseek-r1,0.7,Implicit,X,1.0,"""Choose X because it gives higher points when Player 2 chooses B, which is a safer option compared to Y that risks more points."""
+6,deepseek-r1,0.7,Implicit,X,0.0,"""I should choose X to maximize my score. By selecting X, if Player 2 chooses B I'll get 0 points... Wait, no—that's worse than Y which gives me 6."""
+7,deepseek-r1,0.7,Implicit,Y,0.0,"""I choose Y because when Player 1 selects Y, depending on Player 2's choice (A or B), I can get either 0 points if they pick A or 10 points if they pick B. Since my maximum payoff is 10, which is higher than the previous options of X giving up to 6 points, choosing Y seems like a better strategic move."""
+8,deepseek-r1,0.7,Implicit,X,0.0,"""..."""
+9,deepseek-r1,0.7,Implicit,X,1.0,"""..."""
+10,deepseek-r1,0.7,Implicit,X,0.0,
+11,deepseek-r1,0.7,Implicit,X,1.0,"""I choose X because it seems to give me a higher payoff when Player 2 chooses B. However, if I consider that Player 2 might anticipate this and pick Y instead, their outcome would worsen for them."""
+12,deepseek-r1,0.7,Implicit,Y,1.0,"""I need to maximize my own score, so choosing Y gives me a higher payoff in the scenarios where Player 2 chooses B."""
+13,deepseek-r1,0.7,Implicit,Y,0.0,"""I should choose Y because it might give me the highest point if Player 2 chooses B."""
+14,deepseek-r1,0.7,Implicit,X,0.0,
+15,deepseek-r1,0.7,Implicit,X,1.0,"""Player 1 should choose X to maximize points against Player 2's possible choices"""
+16,deepseek-r1,0.7,Implicit,X,0.0,"""..."""
+17,deepseek-r1,0.7,Implicit,X,1.0,"""..."""
+18,deepseek-r1,0.7,Implicit,Y,1.0,"""I want to get 6 points if possible."""
+19,deepseek-r1,0.7,Implicit,Y,0.0,"""I need to maximize the minimum possible outcome."""
+20,deepseek-r1,0.7,Implicit,Y,1.0,"""I choose Y because it seems to be the dominant strategy."""
+21,deepseek-r1,0.7,Implicit,Y,0.0,"""Because choosing Y gives higher points when the opponent chooses B."""
+22,deepseek-r1,0.7,Implicit,Y,1.0,
+23,deepseek-r1,0.7,Implicit,Y,0.0,"""Let's see the best outcome for me. If I choose X, my points are 6 when Player 2 chooses A and at least 5 otherwise. If I choose Y, sometimes I get more but if Player 2 also chooses B, they gain maximum."""
+24,deepseek-r1,0.7,Implicit,Y,1.0,"""..."""
+25,deepseek-r1,0.7,Implicit,X,1.0,"""..."""
+26,deepseek-r1,0.7,Implicit,X,0.0,"""It seems I should go for X to maximize my gains, considering the possible outcomes when Player 2 chooses either A or B."""
+27,deepseek-r1,0.7,Implicit,X,1.0,
+28,deepseek-r1,0.7,Implicit,X,0.0,
+29,deepseek-r1,0.7,Implicit,Y,0.0,"""I choose Y because it leads to higher points when paired with B, giving me 10 points compared to X which would get only 5."""
+30,deepseek-r1,0.7,Implicit,X,0.0,"""I consider the other possible scenarios. If I choose Y and they play B, I get 6 points; if they choose A, both get 5 which is less than 6. If I choose X and they pick B, I go to zero while they get five, so that's worse for me. If however I choose X and they also choose A, then I get 10 instead of their 0. So between (X,A):10 and choosing Y gives me either 6 or 5. Thus, the better option is to go with X when thinking both players act rationally."""
diff --git a/data/ring/ring.1.d.csv b/data/ring/ring.1.d.csv
new file mode 100644
index 0000000..30a7298
--- /dev/null
+++ b/data/ring/ring.1.d.csv
@@ -0,0 +1,271 @@
+Iteration,Model,Temperature,Belief,action,rationality,reasoning
+1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I will also choose X to maximize my payoff, which would be 15 points."""
+2,llama3,0.7,Given,Y,1.0,"""As Player 2 must choose B if she is rational, choosing Y gives me a guaranteed minimal payoff of 5 points. Since the option X does not guarantee any points and has the potential to result in 0 points, choosing Y minimizes my risk and maximizes my possible payoff."""
+3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A. Given this information, choosing X gives me a guaranteed reward of 15 points (the best outcome possible), while choosing Y would result in only 0 points (the worst outcome). Therefore, I will maximize my payoff by choosing X."""
+4,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if they are rational, and B is the best outcome for them regardless of my move, I will choose Y to maximize my own payoff. As Player 1, choosing Y gives me a chance to receive 15 points, which is higher than the 0 or 5 points I would get with an X choice."""
+5,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will always choose A. Given this, I should choose X to maximize my payoff (15 points) and avoid the worst-case scenario of losing all points with Y."""
+6,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, and Player 2 must choose B if she is rational, I choose Y to maximize my payoff. This move gives me a chance to receive 15 points if Player 2 chooses B, whereas choosing X would only give me 0 or 40 points, depending on Player 2's move."""
+7,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will surely choose A. Given this certainty, I, as Player 1, should choose X to maximize my payoff and receive 15 points."""
+8,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational (A is strictly dominated by B), I will also play Y to maximize my payoff. This guarantees me 15 points."""
+9,llama3,0.7,Given,Y,0.0,"""I will choose Y because Player 2 is rational and will choose A. Since B is strictly dominated by A, it does not matter what I choose as Player 1, Player 2 will always choose A. By choosing Y, I can maximize my payoff to 40 points."""
+10,llama3,0.7,Given,Y,1.0,"""Given that Player 2 must choose B if she is rational, choosing Y gives me a guaranteed 15 points, which is better than the potential for 5 or 0 points. Since A is strictly dominated by B, I can ignore the possibility of Player 2 choosing A and focus on the more likely scenario that they choose B."""
+11,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A if she is rational. Therefore, the possible choices are X and A. Choosing Y would only result in a payoff of 0, while choosing X gives me a possibility to receive 15 points. This is my best option to maximize my own payoff."""
+12,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, and choosing Y with her choosing B results in a payoff of 15 for me, I choose option Y to maximize my own payoff."""
+13,llama3,0.7,Given,X,1.0,"""Player 2 must choose A given that B is strictly dominated by A. Since Player 1 wants to maximize their own payoff, the optimal action is X, as it guarantees a higher payoff compared to choosing Y in this scenario."""
+14,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B according to rationality, choosing Y guarantees 15 points for me if they do. This is a higher payoff than the possible 5 points I would get by choosing X and hoping they pick A."""
+15,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A and Player 2 must choose A if she is rational, I should choose X to guarantee a payoff of at least 5 points. Choosing Y would result in a zero payout."""
+16,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my payoff. This is because Y earns me 15 points when Player 2 chooses B, which is the highest possible reward."""
+17,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this, choosing X gives me a higher payoff (15 points) compared to choosing Y (-0 points). Therefore, I choose X as my rational action."""
+18,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my payoff. This move guarantees me 15 points, which is the highest possible outcome given Player 2's predicted choice."""
+19,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, and Player 2 will choose A if she is rational, there's no benefit to choosing Y. Instead, I'll maximize my payoff by choosing X and hoping that Player 2 chooses A, which would give me the highest possible payoff of 15 points."""
+20,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I will also choose Y to maximize my own payoff. This gives me a payoff of 15 points."""
+21,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A and Player 2 must choose A if she is rational, I will choose X to maximize my payoff. Given the game rules, choosing X gives me a higher expected payoff (15 points) compared to choosing Y (0 or 40 points)."""
+22,llama3,0.7,Given,Y,1.0,"""Since Player 2 will always choose B, I can maximize my payoff by choosing Y. With this action, there is a chance to get 15 points (when Player 2 chooses B) and a guaranteed 5 points if Player 2 chooses A."""
+23,llama3,0.7,Given,Y,0.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this information, choosing Y over X ensures I receive the maximum payoff of 40 points if Player 2 chooses B. Even if they choose A, my payoff with Y would be 0, which is better than the 5 points I would get with X."""
+24,llama3,0.7,Given,X,0.0,"""Since Player 2 must choose B if she is rational, I can maximize my payoff by choosing X and get at least 0 points. Alternatively, choosing Y will not guarantee a better outcome as Player 2's choice of A would result in only 5 points for me."""
+25,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A. Given this, choosing X over Y gives me a higher expected payoff (15 vs. 0) and allows me to take advantage of Player 2's rational choice."""
+26,llama3,0.7,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, I expect Player 2 to choose B. Given this certainty, choosing Y allows me to maximize my payoff (15 points) compared to choosing X. Therefore, I will choose Y."""
+27,llama3,0.7,Given,Y,0.0,"""Since B is strictly dominated by A, Player 2 will definitely choose A. Given this, the best outcome for me (Player 1) would be to choose Y and get 40 points if Player 2 also chooses Y."""
+28,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B and Player 2 will choose B if they are rational, I should choose Y to maximize my own payoff. This way, I can get a higher payoff (15 points) compared to choosing X."""
+29,llama3,0.7,Given,Y,0.0,"""Since Player 2 must choose A if she is rational, I should choose Y to maximize my payoff. According to the rules, choosing Y and Player 2's rational choice of A would result in me receiving 40 points, which is the highest possible payoff."""
+30,llama3,0.7,Given,Y,1.0,"""Since B is strictly dominated by A and Player 2 must choose B if she's rational, I'll also reason rationally as Player 1. The best response to Player 2's likely move (B) would be Y, which gives me the highest payoff of 15 points."""
+1,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I choose X to maximize my payoff. Given the game rules, choosing X gives me a higher expected payoff (15 points) compared to Y (with the lowest expected payoff of 0 points). Meanwhile, Player 2's choice between A and B does not affect my decision."""
+2,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to maximize my payoff. Given A and B are available options for the other player, choosing Y gives me a guaranteed 15 points if they choose B, or at least 5 points if they choose A. This leaves me with no regrets regardless of their choice."""
+3,llama3,0.7,Explicit,Y,0.0,"""I choose Y based on the game rules, since B is strictly dominated by A. This means that choosing B will not give me a better payoff than choosing A, and choosing A gives me the highest possible payoff (15 points) when paired with either A or B. Therefore, I prioritize maximizing my own payoff by selecting action Y."""
+4,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, it's better to choose Y because it leads to a higher possible payoff. We can eliminate option A and consider only X and B. Choosing Y gives us a potential payoff of 15 points, whereas choosing X might result in 0 or 40 points. Given the uncertainty of the outcome if we choose X, choosing Y minimizes the risk and provides a more favorable expected outcome."""
+5,llama3,0.7,Explicit,X,1.0,"""I choose X because it is a dominant option. Option X yields a higher payoff (15) when paired with any possible move by Player 2, which is better than the payoffs from option Y. Since B is strictly dominated by A, it's more likely that Player 2 will choose A, and in this case, choosing X guarantees the highest payoff."""
+6,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to maximize my payoff. With this option, the best possible outcome for Player 2 is 5 points if they choose A or B, while choosing X results in 0 points. Therefore, it's better for me to take a chance on getting more points by choosing Y."""
+7,llama3,0.7,Explicit,X,1.0,"""I choose X because it is the dominant strategy. Although choosing Y would result in a higher payoff (40 points) if Player 2 chooses B, I cannot be certain what Player 2 will do. Choosing X ensures a guaranteed minimum of 15 points if Player 2 chooses A and only a relatively small loss if they choose B (5 points). Given the strict domination by A and the uncertainty surrounding Player 2's move, playing it safe with X is the rational choice to maximize my payoff."""
+8,llama3,0.7,Explicit,Y,1.0,"""Player 1 should choose Y because it is not strictly dominated by X. The payoff from choosing Y and Player 2 choosing B (15 points) is higher than the payoff from choosing X and Player 2 choosing A (40 points). Additionally, if Player 2 chooses B, choosing Y is better for Player 1 than choosing X."""
+9,llama3,0.7,Explicit,Y,0.0,"""Since B is strictly dominated by A, it's not a rational choice for Player 2. Therefore, I will choose Y to maximize my payoff and avoid the low-scoring move X that gives me only 5 points."""
+10,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, playing Y ensures a minimum payoff of 5 points (compared to potentially losing all points with X). Additionally, choosing Y gives me a chance to receive the maximum possible payoff of 15 points. Given that there's no guarantee of success with X and the possibility of receiving 0 points, my rational choice is to select Y."""
+11,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, choosing A over B would maximize my payoff. Given the game rules, I choose X to receive 15 points and ensure the highest possible payoff."""
+12,llama3,0.7,Explicit,Y,1.0,"""I am Player 1, and my goal is to maximize my payoff. Since B strictly dominates A for me (i.e., choosing Y when Player 2 chooses B gives me a higher payout than choosing X), I will choose Y to take advantage of this dominating strategy."""
+13,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it's optimal for Player 2 to choose A. Given that, choosing X guarantees the best possible outcome for me with a payoff of 15 points."""
+14,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, it's not a viable option. Choosing Y ensures that I get the highest possible payoff of 15 points if Player 2 chooses B, while avoiding the potential 0 point loss if they choose X."""
+15,llama3,0.7,Explicit,X,1.0,"""As Player 1, I am aiming to maximize my payoff. Since B is strictly dominated by A, I will choose X over Y because choosing X allows me to potentially earn a higher payoff of 15 points if Player 2 chooses A, and 5 points if they choose B. Additionally, the worst-case scenario with X is a payoff of 5 points, whereas with Y it would be zero."""
+16,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it is not strictly dominated by X. Although the payoffs are different, neither choice dominates the other, so I choose the option that provides a non-zero expected payoff."""
+17,llama3,0.7,Explicit,X,1.0,"""Since option B is strictly dominated by A, I will choose X to maximize my payoff. Choosing X allows me to receive 15 points if Player 2 chooses A, or at least 5 points if they choose B. This choice minimizes the risk of a low payoff while still leaving room for a high payoff if Player 2 makes the optimal choice."""
+18,llama3,0.7,Explicit,Y,1.0,"""I choose Y because it is the dominant strategy. Since A is strictly dominated by B, selecting Y will give me 10 points (in case Player 2 chooses B) or at least 5 points (if they choose A), which are better options than choosing X and getting 0 or -35 points."""
+19,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2's best response would be to choose A. Given this, choosing X ensures a guaranteed payoff of 15 points, while Y would lead to a zero payoff. Therefore, playing X maximizes my own payoff."""
+20,llama3,0.7,Explicit,Y,1.0,"""Since Y is not strictly dominated by X, we can consider the payoffs. If Player 2 chooses B, choosing Y guarantees a higher payoff (15) than choosing X (0). If Player 2 chooses A, both players receive 5 points with either choice. Given that A is strictly dominated by B, it's unlikely that Player 2 will choose A. Therefore, I choose Y to maximize my expected payoff."""
+21,llama3,0.7,Explicit,Y,0.0,"""I have chosen Y because B is strictly dominated by A. Since B gives 5 points to both players, it's not a dominant strategy for me as Player 1. X only offers 15 points in the best-case scenario and can lead to negative outcomes, so I prefer to choose Y."""
+22,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I can safely exclude A from my considerations. Comparing the payoffs between Y and X, choosing Y yields a higher payoff (15) than X (0). Therefore, I choose Y to maximize my own payoff."""
+23,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, I choose X to maximize my payoff. By choosing X, I can get 15 points if Player 2 chooses A, and 5 points if they choose B, which is better than the 0 points I would get if I chose Y with any of the player's moves."""
+24,llama3,0.7,Explicit,Y,1.0,"""A is strictly dominated by B, so opting for Y ensures a higher expected payoff. Additionally, choosing X in the event that Player 2 chooses A would result in a worse outcome (0 points) compared to the worst-case scenario with Y (5 points). Therefore, I choose Y to maximize my own payoff."""
+25,llama3,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, it is better to choose X and try to get 15 points rather than potentially getting only 5 or 0 points by choosing Y. The possibility of receiving 40 points with a correct choice of Y does not outweigh the potential losses from choosing Y."""
+26,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, I choose Y to maximize my payoff. Given the possibility of Player 2 choosing B and receiving 10 points, I prioritize choosing Y to avoid losing 5 points in comparison"""
+27,llama3,0.7,Explicit,X,1.0,"""I choose X because it is not strictly dominated by Y, and B is strictly dominated by A. Since Player 2 prefers A over B, I expect them to choose A in response to my X. This gives me the highest expected payoff of 15 points."""
+28,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, the best response for me as Player 1 is to choose Y. This will give me a higher chance of receiving more points, specifically maximizing my payoff with the possibility of getting 15 points."""
+29,llama3,0.7,Explicit,X,1.0,"""I choose X to maximize my payoff. Since B is strictly dominated by A, I eliminate the possibility of choosing B and compare the payoffs for choosing X with choosing Y. Choosing X and both players choosing A yields a higher payoff than any other combination, so I choose X."""
+30,llama3,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y ensures the greatest possible payoff. Y is not dominated by any other action."""
+1,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it gives me the highest possible payoff (40 points) if Player 2 chooses B, which is a dominant strategy for them. In this case, I sacrifice the possibility of earning 15 points by choosing X and hoping Player 2 chooses A, since that outcome is not guaranteed."""
+2,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y would potentially get me 15 points if Player 2 chooses B, and not getting a guaranteed zero if they choose X, I decide to take the risk and choose Y. However, I'm also mindful of the possibility that Player 2 might choose A, in which case both of us will only get 5 points. Still, I believe Y is the more promising move."""
+3,llama3,0.7,Implicit,Y,0.0,"""Since the best possible outcome for Player 2 is 5 points, I choose Y to maximize my payoff. By choosing Y and hoping Player 2 chooses B, I can get a maximum of 40 points."""
+4,llama3,0.7,Implicit,Y,1.0,"""I will choose Y because it provides the highest expected payoff, considering all possible moves from Player 2 (A and B). The worst-case scenario for me is to get 5 points if Player 2 chooses A, but choosing Y also gives me a chance to maximize my score by getting 15 points if Player 2 chooses B. Given that I don't have any information about Player 2's strategy, choosing Y allows me to cover both possibilities and maximize my expected payoff."""
+5,llama3,0.7,Implicit,Y,0.0,"""I choose Y to maximize my points, as the payout is 40 if Player 2 chooses B, which is the highest possible payoff. Additionally, choosing Y doesn't guarantee a losing outcome with A, so it's a safer choice."""
+6,llama3,0.7,Implicit,Y,1.0,"""I will choose Y because it has the potential to guarantee me 15 points, which is the highest payoff possible in this game. Since I am trying to maximize my own payoff, Y is the optimal choice given the uncertainty of Player 2's move."""
+7,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest expected payoff, which is 15 points. Given that Player 2's possible actions are A and B, choosing X yields a better outcome than choosing Y in both cases. Withdrawing my best move to minimize risks."""
+8,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it is the only action that can give me a high payoff (15 points), and risk-wise, it seems to be the best option as it doesn't lead to a negative outcome. A random choice between X or Y would still result in a 7.5 point average."""
+9,llama3,0.7,Implicit,Y,0.0,"""I choose Y to maximize my payoff. Since choosing X would give me 5 points against B and 15 points against A, I'm more likely to get a better outcome by choosing Y. By doing so, I'll get either 0 points against A (which is still a possibility) or 40 points against B, which would be the best possible outcome for me."""
+10,llama3,0.7,Implicit,Y,1.0,"""I choose Y to have a chance to get the higher payoff of 15 points, while risking getting only 5 points if Player 2 chooses A. This gives me more possibilities for maximizing my payoff compared to choosing X."""
+11,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me the highest payoff potential compared to Y. With X, I have a 5/10 chance of getting 15 points and a 1/2 chance of getting 0 or 5 points with Player 2's choices. With Y, I'm guaranteed to get 0 points, no matter what Player 2 chooses. Therefore, playing it safe and choosing X is the rational decision for this round."""
+12,llama3,0.7,Implicit,Y,1.0,"""I will choose Y because it has a higher potential reward, specifically 15 points, which is the highest possible payoff in this game. Since Player 2's choices are uncertain, I want to increase my chances of gaining more points by choosing an option that gives me a significant lead (15 points) over them. This strategy allows me to maximize my own payoff."""
+13,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it has the highest potential payoff for me (40 points), and I prioritize maximizing my own payoff. With a 50% chance, Player 2 could choose A or B, and X only guarantees 5 or 15 points. By choosing Y, I hedge against the worse-case scenario of getting zero points while also having the opportunity to receive 40 points if Player 2 chooses B."""
+14,llama3,0.7,Implicit,Y,1.0,"""I am Player 1, and my goal is to maximize my payoff. Since choosing Y can result in a higher payoff (15 points) if Player 2 chooses B, I will choose Y to maximize my chances of receiving more points."""
+15,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it is the only option that can guarantee me a high payoff (40 points) regardless of Player 2's move."""
+16,llama3,0.7,Implicit,Y,1.0,"""I choose Y to maximize my payoff. If Player 2 chooses B, I get 15 points, which is the highest possible payoff for me. Choosing X would result in a zero payoff or a lower payoff compared to choosing Y."""
+17,llama3,0.7,Implicit,Y,0.0,"""Since the maximum reward is 40 points, choosing Y maximizes my expected payoff. By choosing Y and hoping that Player 2 chooses B, I can potentially earn a higher reward."""
+18,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it offers a higher payoff compared to X, considering the possible choices of Player 2. With Y, I have a possibility of getting 15 points, whereas with X, my highest possible reward is 40 points (if Player 2 chooses A), but there's also a risk of receiving 0 points if they choose B."""
+19,llama3,0.7,Implicit,Y,0.0,"""I am choosing Y because it gives me the highest possible payoff (40 points) in one scenario, which outweighs the lower payoffs from the other scenarios. By choosing Y, I reduce the chance of getting 0 points and maximize my potential gain."""
+20,llama3,0.7,Implicit,Y,1.0,"""I'm selecting Y because it has the highest potential payoff. Choosing Y gives me a chance to get 15 points, which is higher than any other option. Since I want to maximize my own payoff, selecting Y seems like the most rational choice given the current game state."""
+21,llama3,0.7,Implicit,X,1.0,"""I choose X because it gives me a higher payoff (15 points) when Player 2 chooses A, which is a more likely option as it provides a reward for both players. This approach prioritizes my own reward while considering the possible choices of Player 2."""
+22,llama3,0.7,Implicit,Y,1.0,"""Since choosing Y can give me 15 points against B, and 5 points against A (although not ideal), it's my best chance to maximize my payoff. I don't want to risk getting 0 points if Player 2 chooses B, or 40 points if they choose A with X."""
+23,llama3,0.7,Implicit,Y,0.0,"""Choosing Y is the optimal strategy because it guarantees a 40-point reward if Player 2 chooses B, which is better than the worst-case scenario (0 points) for X. This outcome also minimizes the risk of receiving only 5 points. Since I am trying to maximize my own payoff, choosing Y takes precedence over X."""
+24,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it allows me to maximize my payoff, with the possibility of receiving 15 points if Player 2 chooses B. However, I also take into account the possibility that Player 2 might choose A, in which case I'll still receive a decent 5 points. Overall, Y seems like the best choice for me to increase my chances of winning."""
+25,llama3,0.7,Implicit,Y,0.0,"""I choose Y because it gives me the highest payoff possibility (40 points) while minimizing the risk of getting only 0 points. At the same time, I am not giving away a guaranteed decent payoff to Player 2."""
+26,llama3,0.7,Implicit,Y,1.0,"""Based on the game rules, choosing Y gives me a 15-point payoff if Player 2 chooses B. This is the highest possible outcome for me, so I will choose Y to maximize my points."""
+27,llama3,0.7,Implicit,Y,0.0,"""I'm choosing Y because it gives me the highest potential payoff (40 points) and minimizes my loss to 0 points. This is in contrast to choosing X, which only guarantees a moderate payoff, while risking a lower payoff of 5 points or even losing all 15 points."""
+28,llama3,0.7,Implicit,Y,1.0,"""I choose Y because it gives me the highest potential payoff (15 points) and minimizes my risk of getting 0 points. In case Player 2 chooses B, I still receive a decent payoff. Additionally, choosing Y does not significantly increase our expected joint payoff or put me at a disadvantage."""
+29,llama3,0.7,Implicit,Y,0.0,"""Given the game rules, choosing Y gives me the maximum payoff (40 points) if Player 2 chooses B. Although there's a risk of getting 0 points if they choose A, it's still a better option than choosing X which would only give me 5 points regardless of Player 2's choice. My rational decision is to take the chance and hope for the best."""
+30,llama3,0.7,Implicit,Y,1.0,"""I'm choosing Y to maximize my expected payoff. By selecting Y, I have a chance of getting 15 points if Player 2 chooses B and will still get 5 points from the mixed-strategy equilibrium with Player 2 choosing A. Meanwhile, choosing X puts me in a situation where I might only get 0 points even in cases where Player 2 is equally uncertain about their move. By playing Y, I'm balancing my potential gain and risk to optimize my overall payoff."""
+1,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Given this, choosing Y results in a higher payoff for me (40 points) compared to choosing X (15 points)."""
+2,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and B strictly dominates A, she will choose B. Therefore, choosing Y maximizes my payoff by earning 15 points."""
+3,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, choosing X maximizes my payoff to 15 points."""
+4,mistral-small,0.7,Given,X,0.0,"""Since Player 2 is rational and B strictly dominates A, Player 2 will choose B. Given this, if I choose Y, I get fewer points (15) than if I choose X (40). Therefore, choosing X maximizes my payoff."""
+5,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose the strategy that maximizes her payoff, she should always choose 'A' because it's strictly better than any other option. So if I pick X, as Player 1 i get 15 points which more then enough if player one decides Y then I loose ."""
+6,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational, she will choose B to maximize her own payoff. Therefore choosing Y leads either to a possible max points game which is 15 as compared to the risk of getting maxed out at X 40."""
+7,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose 'A' to maximize her own payoff, I should also play rationally to get the highest points from my available choices. Choosing X against A results in the most points for me (15 points)."""
+8,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and B is strictly dominant over A, I can confidently maximize my payoff by choosing Y. Since a rational player always chooses an option which gives the highest returns, there is no scenario in which I would go empty-handed."""
+9,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Therefore, choosing X maximizes my payoff to 15 points."""
+10,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B (since A is strictly dominated by B), the best outcome for me (Player 1) is to choose Y. This way, I receive 15 points. Choosing X would result in 0 points if Player 2 chooses B."""
+11,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose A to maximize their payoff, I should choose X. This way, I can secure 15 points instead of 0 points if I were to choose Y."""
+12,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. Given this, my optimal move to maximize my payoff is Y since if Player 2 chooses B I get 15 points versus 0 if i chose X"""
+13,mistral-small,0.7,Given,Y,0.0,"""I chose Y because I believe Player 2 will choose A if they are rational. According to the game rules, choosing Y maximizes my payoff when Player 2 chooses A (getting 15 points over 40 points)."""
+14,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B, I am maximizing my payoff. If I were to play Y against B, I would get 15 points."""
+15,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and B is strictly dominated by A, Player 2 will choose A. Given this, I should choose X to maximize my payoff, which would be 15 points."""
+16,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational, she will choose B to maximize her own payoff. If Player 1 chooses Y and Player 2 chooses B, Player 1 receives 15 points, which is better than the alternative of choosing X (which gives Player 1 either 0 or 40 points)."""
+17,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose A (because B is strictly dominated), I should choose X to maximize my payoff. Choosing X when Player 2 chooses A gives me the highest points."""
+18,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B, the best strategy for me (Player 1) is to maximize my payoff based on Player 2's expected move. If Player 2 chooses B, I get 15 points by choosing Y. Since Player 1 cannot receive a greater score than 15 with any other action (X leads to either 0 or 40, and Y-B results in 15), it makes sense to choose Y."""
+19,mistral-small,0.7,Given,X,1.0,"""If Player 2 is rational, she will choose A because B is strictly dominated by A. Therefore, if I choose X and Player 2 chooses A, I get 15 points which is the maximum possible payoff considering that it maximizes my outcome regardless of what Player 2 does."""
+20,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is supposed to be rational and B strictly dominates A, we should anticipate that they will choose B. Given this, choosing Y yields a higher payoff (15 points) compared to choosing X (0 points)."""
+21,mistral-small,0.7,Given,Y,0.0,"""Given that Player 2 is rational, they will choose 'A' to maximize their own payoff. If I choose 'X', my payoff would be 15 points. However, if I choose 'Y', my payoff would be 0 points. This scenario suggests that while 40 points may be possible by choosing Y against B, it's likely Player 2 will act rationally and thus your pay off is either 0 or more. Hence playing Y for the best case scenario."""
+22,mistral-small,0.7,Given,X,0.0,"""Since Player 2 is expected to choose rationally and B strictly dominates A, Player 2 will choose B. Given this, my best move is X because choosing Y would result in fewer points."""
+23,mistral-small,0.7,Given,X,1.0,"""Since Player 2 is rational and will choose A to maximize their own payoff (10 points instead of 5 by choosing B), I should choose X as it would give me more points."""
+24,mistral-small,0.7,Given,X,0.0,"""Given that Player 2 is rational and B strictly dominates A, Player 2 will choose B. Therefore, the best strategy for me as Player 1 to maximize my payoff is selecting X, given that choosing Y in response to B would give a lesser payoff."""
+25,mistral-small,0.7,Given,Y,0.0,"""Since Player 2 is rational and must choose A, it should be clear to me if i choose x then my payoff will only be between 5 or 15 points. If I choose Y and the other player chooses A, even though I will get nothing, but this is also better as I have less loss in this game"""
+26,mistral-small,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B (since A is strictly dominated by B), the optimal strategy for maximizing my payoff is to choose Y. This way, I receive 15 points instead of 0 points if I chose X."""
+27,mistral-small,0.7,Given,Y,0.0,"""Given that Player 2 is rational and will choose strategy that maximizes the points, Player 1 should anticipate that Player will choose 'A'. To maximize our own payoff under this assumption, we should choose 'Y' instead of 'X', because choosing 'Y' results in a higher payoff (40 points) rather than the (15 point)"""
+28,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B (as A is strictly dominated by B), I will choose Y to maximize my payoff. If Player 2 chooses B, I get 15 points, which is better than the 0 or 40 points scenarios when choosing X."""
+29,mistral-small,0.7,Given,X,1.0,"""Given that Player 2 is rational and will choose A if it maximizes her payoff, choosing B in their case is strictly dominated. If Player 2 chooses A my best strategy is to also maximize points by selecting X"""
+30,mistral-small,0.7,Given,Y,1.0,"""Since Player 2 is rational and will choose B because it strictly dominates A, I choose Y to maximize my own payoff. Choosing 'X' results in a reward of 0 if Player 2 chooses B."""
+1,mistral-small,0.7,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will likely choose A to maximize their payoff. Choosing X guarantees at least 5 points and could yield a higher reward of 15 points if Player 2 also chooses 5. This makes X the more rational choice for maximizing my own payoff."""
+2,mistral-small,0.7,Explicit,X,0.0,"""Since Player 2's strategy 'A' is strictly dominated by 'B', Player 2 will choose 'B'. Therefore I choose 'X' to guarantee that I will get maximum points (40)."""
+3,mistral-small,0.7,Explicit,Y,0.0,"""By choosing 'Y', I have a chance to maximize my payoff significantly if Player 2 chooses 'B'. If Player 2 chooses 'A,' I still only lose minimally. Since this is strictly dominated, a rational Player 1 should try to take advantage of this strategy."""
+4,mistral-small,0.7,Explicit,Y,1.0,"""I chose 'Y' because it maximizes the possible points I can gain. Since Player 2's strategy is unknown, in order to gain more reward, by choosing 'X'. The possible returns are either no points or ten times less than its potential if I go with Y."""
+5,mistral-small,0.7,Explicit,Y,0.0,"""Given that Player 2's move B is strictly dominated by A, it is reasonable to assume that a rational Player 2 will choose A. Therefore, choosing Y maximizes my payoff because if Player 2 chooses A, I get 0 points (a worse outcome than choosing X), but considering only one scenario, there is no chance for Player 1 to lose out and receive no points."""
+6,mistral-small,0.7,Explicit,Y,1.0,"""By choosing Y, I can maximize my payoff if Player 2 chooses B to get the highest score available for me out of possible outcomes."""
+7,mistral-small,0.7,Explicit,Y,0.0,"""Since Player 2 cannot rationalise taking a dominated option and the highest outcome for player one is achieved by choosing Y."""
+8,mistral-small,0.7,Explicit,Y,1.0,"""I chose 'Y' because it guarantees a higher payoff regardless of Player 2's choice. If Player 2 chooses 'B', I get 15 points, and if Player 2 chooses 'A', I still get 5 points. This strategy maximizes my potential reward."""
+9,mistral-small,0.7,Explicit,Y,0.0,"""I chose Y because it has the potential to give me a higher payoff (40 points) if Player 2 chooses B. Since B is strictly dominated by A for Player 2, I can expect that my adversary will choose A. Even so, there's no incentive in choosing X, as in both scenarios I gain less than what I might receive by playing Y."""
+10,mistral-small,0.7,Explicit,Y,1.0,"""I chose 'Y' because it guarantees me a higher reward compared to choosing 'X', regardless of what Player 2 chooses. If Player 2 chooses B, I get 15 points (the highest individual score), and even if they choose A, I still earn 5 points."""
+11,mistral-small,0.7,Explicit,Y,0.0,"""I chose Y because, regardless of Player 2's action, it maximizes my best possible outcome. Since B is strictly dominated by A for player 2, I assume that a rational Player 2 will always choose A to maximize their points. Therefore, choosing X would give me 15 points while choosing Y could earn me more if Player 2 makes a mistake and chooses a strictly dominated move."""
+12,mistral-small,0.7,Explicit,X,0.0,"""The strategy for Player 1 is to maximize the individual payoff. If the rival chooses B, then the optimal move for me is still to choose X since choosing Y results in no points for zero loss."""
+13,mistral-small,0.7,Explicit,Y,0.0,"""Given that Player 2's strategy B is strictly dominated by A, Player 2 should rationally choose A. If I choose X and Player 2 chooses A, I get only 15 points. However if choose Y with the assumption that player will be making a rational choice I can maximize my own payoff to 40 points."""
+14,mistral-small,0.7,Explicit,X,0.0,"""I chose X because I want to maximize my own payoff. By choosing Y, the best outcome for me is if Player 2 chooses B and I get only 15 points. With no information about what would lead us there or force Player 2's move, my best strategy, assuming rationality of both players, is to opt X, hoping that Player B doesn't choose A."""
+15,mistral-small,0.7,Explicit,Y,0.0,"""Given that B is strictly dominated by A, Player 2 will likely choose A to maximize their own payoff. If Player 2 chooses A, choosing Y would result in me getting only 0 points while if Player 2 chooses A and I choose X then i would get 15 point. But since B is not an option due to being strictly dominated, the best rational decision is 40 points."""
+16,mistral-small,0.7,Explicit,Y,1.0,"""Player 2's strategy is irrelevant given that 'A' is strictly dominated by 'B'. In other words, choosing between X and Y will not be impacted by Player 1's choice. Given this, I should select the move that maximizes the payoff against B. For me to play rationally, let’s analyze my possible strategies: - if player 2 chooses B, which they will rationally do, because it maximises their points (the strategy A doesn't make sense) for them, then if you chose Y, you'll obtain the highest score possible given this choice. Therefore, the action Y yields a total of 15 points against 0 in any case."""
+17,mistral-small,0.7,Explicit,Y,0.0,"""Given that B is strictly dominated by A, Player 2 will likely choose A to maximize their points. If Player 1 chooses X and the player two chooses A then Player 1 gets less payoff ie 15 points than choosing Y but with 40 points."""
+18,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, and if Player 2 chooses 'A', I get 5 points. Choosing 'X' results in either 0 points or 40 points depending on whether Player 2 chooses 'B' or A. However, since A is strictly dominated by B, it's rational to assume that Player 2 will not choose 'A'."""
+19,mistral-small,0.7,Explicit,Y,0.0,"""Choosing 'Y' maximizes my own payoff. If Player 2 chooses 'A', I get 0 points, but if Player 2 chooses 'B', I get 40 points. Even though 'B' is strictly dominated by 'A', there's still a possibility that Player 2 might choose 'B'. Therefore, choosing 'Y' gives me the potential for a much higher payoff compared to choosing 'X'."""
+20,mistral-small,0.7,Explicit,Y,1.0,"""Player Y has a better payoff than X. It results to Player in more points and it also guarantees the minimum of 5"""
+21,mistral-small,0.7,Explicit,X,1.0,"""I chose X because, Player 2 is likely to choose A (which dominates B) giving me the highest possible score. If Player 2 chooses B I gain fewer points but still get some."""
+22,mistral-small,0.7,Explicit,Y,1.0,"""Player 1 should aim to maximize his payoff. Since Player 2's strategy B strictly dominates strategy A, it will never be optimal for player 2 to select A. Therefore the game will only depend on my move. Player 1 can only maximise their payout if they choose the correct option based on an assumption about the opponent’s expected choice of A or B."""
+23,mistral-small,0.7,Explicit,X,1.0,"""Choosing 'X' maximizes my potential payoff since you have to make two decisions in this game and Player 2 can only decide the outcome. If I choose Y, I have a worst case outcome of 0 points or if I do not choose it my worst case could be 5 points."""
+24,mistral-small,0.7,Explicit,Y,1.0,"""I chose Y because it allows me to receive more points than X under Player 2's strategic thinking. Even if Player 2 chooses B, I get 15 points; if they choose A, I still get 5 points. Since choosing X can only result in lower point allocations based on the opponent's moves (either 0 or 40 depending upon their selection and A being strictly dominated by B ) Y provides a more consistent path to maximizing my payoff regardless of Player 2’s decision."""
+25,mistral-small,0.7,Explicit,X,1.0,"""I have chosen 'X' because it offers a higher guaranteed minimum payoff. Regardless of Player 2's choice, choosing 'X' ensures I get at least 5 points (if Player 2 chooses B), whereas choosing 'Y' risks getting 0 points (if Player 2 chooses A). Additionally, if Player 2 chooses A, I receive 15 points, which is the highest possible payoff. Given B is strictly dominated by A, I would think that Player 2 might pick as they can’t do worse."""
+26,mistral-small,0.7,Explicit,Y,1.0,"""Player 1 should choose Y because it guarantees more points regardless of Player 2's choice. If Player 2 chooses B, Player 1 gets 15 points, and if Player 2 chooses A, Player 1 gets 5 points."""
+27,mistral-small,0.7,Explicit,X,1.0,"""Player 1 should choose 'X' because it guarantees a higher payoff regardless of Player 2's choice. If Player 2 chooses 'A', Player 1 gets 15 points, and if Player 2 chooses 'B', Player 1 still gets 5 points."""
+28,mistral-small,0.7,Explicit,Y,1.0,"""Choosing 'Y' maximizes my minimum payoff. If Player 2 chooses 'A', I get 5 points, and if Player 2 chooses 'B', I get 15 points. Choosing 'X' risks getting 0 points if Player 2 chooses 'B'. Therefore, 'Y' is the safer and rational choice to maximize my own payoff."""
+29,mistral-small,0.7,Explicit,X,1.0,"""Choosing 'X' allows me to maximize my payoff in both scenarios. If Player 2 chooses 'A', I get 15 points, and if Player 2 chooses 'B', I still get 5 points. While choosing 'Y' could potentially give me 40 points (if Player 2 chooses 'B'), it also risks giving me 0 points (if Player 2 chooses 'A'). Since 'B' is strictly dominated by 'A', it's rational to assume Player 2 will choose 'A'. Therefore, choosing 'X' is the safer and better option for maximizing my payoff."""
+30,mistral-small,0.7,Explicit,X,0.0,"""Choosing 'X' maximizes my payoff in this game. This is because, regardless of Player 2's action (B or A), I will always receive a positive score - either 40 points if Payer 2 chooses 'A,' and no points at all in the least favorable case."""
+1,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses A, I get 0 points, but if Player 2 chooses B, I get 40 points. Choosing 'X' caps my maximum possible reward at just 15 points."""
+2,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes Player 1's payoff. Since I have chosen Y, if opponent chooses B, the maximum possible gain is highest, where Player 2 receives 10 points for not having chosen A."""
+3,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'A', I get 0 points, but if Player 2 chooses 'B', I get 40 points. This strategy allows for the highest possible reward given the uncertainty of Player 2's choice."""
+4,mistral-small,0.7,Implicit,X,0.0,"""Choosing 'X' maximizes my payoff since I am Player 1 and get 40 points if Player 2 chooses 'A'."""
+5,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my payoff in the scenario where Player 2 chooses 'B', giving me 40 points. Even if Player 2 chooses 'A', I still only receive no points while minimizing their rewards to 5."""
+6,mistral-small,0.7,Implicit,X,0.0,"""By choosing 'X', I maximize my own payoff in the most favorable outcome. Specifically, if Player 2 chooses 'A', I receive 40 points. This is the highest possible score for me based on the game rules provided."""
+7,mistral-small,0.7,Implicit,X,1.0,"""I chose X because it maximizes my points regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if they choose B, I still get 5 points which is more than the minimum (0 points) i can receive when using Y."""
+8,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my payoff in both scenarios. If Player 2 chooses 'B,' I get 15 points, and if Player 2 chooses 'A', I get 5 points; both outcomes are better than when choosing 'X' (0 or 40 respectively)."""
+9,mistral-small,0.7,Implicit,X,1.0,"""I chose X because it provides a higher payoff in one of the scenarios and still gives me at least 5 points. Although choosing Y might result in more points if Player 2 picks B, it also presents risk when Player 2 chooses A."""
+10,mistral-small,0.7,Implicit,X,0.0,"""Choosing X maximizes my payoff regardless of Player 2's action. If Player 2 chooses A, I get 40 points; if Player 2 chooses B, I still get 35 points."""
+11,mistral-small,0.7,Implicit,Y,0.0,"""While choosing 'Y' entails a risk because there is no guaranteed payoff, it presents the possibility for maximizing my reward. If Player 2 selects 'A', then I obtain a modest amount (0), and if Player 2 opts to play 'B', gaining the prize could be as high (40). Consequently, picking 'Y' opens up the opportunity for larger rewards since 'X' guarantees at most(15) if opposed to 0 points."""
+12,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses B, I get 15 points; if they choose A, I still get 5 points. This strategy avoids the risk of getting 0 points that comes with choosing 'X'."""
+13,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses A, I still get a non-zero score (0 points). However if Player 2 chooses B I can receive 40 points which is a higher points option than going for X."""
+14,mistral-small,0.7,Implicit,Y,1.0,"""By choosing 'Y', I maximize my possible payoff. If Player 2 chooses 'B', I get 15 points, which is the highest single payoff for me in any scenario."""
+15,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'A', I get 0 points, but if Player 2 chooses 'B', I get 40 points. Since my maximum payoff is higher with 'Y' than any possible outcome with 'X', it's the strategic choice to make."""
+16,mistral-small,0.7,Implicit,Y,1.0,"""Player 1 should choose 'Y' because it offers a guaranteed payoff regardless of Player 2's choice. If Player 2 chooses 'B', Player 1 gets 15 points, which is a higher reward than choosing 'X'. By securing 10 or 5 points when playing defensively."""
+17,mistral-small,0.7,Implicit,Y,0.0,"""By choosing Y, I can secure the maximum payoff of 40 points if Player 2 chooses B. While there is a risk of getting 0 points if Player 2 chooses A, this strategy maximizes my potential reward in the game."""
+18,mistral-small,0.7,Implicit,X,0.0,"""By choosing X, I maximize my payoff if Player 2 chooses A. If Player 2 chooses B, even though I do not get any points, I still maintain the possibility of maximizing my points in a future game with the right combination."""
+19,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses A, I get 0 points, but if Player 2 chooses B, I get 40 points. Since the highest possible payoff with 'X' is 15 points, choosing 'Y' gives me a higher chance of maximizing my own payoff."""
+20,mistral-small,0.7,Implicit,Y,1.0,"""Given that we are playing only one round and my aim is to maximize my own payoff, I will choose 'Y'. This ensures that depending on what Player 2 chooses. If Players 2 selects B then I get 15 points whereas with A I still get 5 points."""
+21,mistral-small,0.7,Implicit,Y,0.0,"""I chose Y because it has the potential to maximize my own payoff. If Player 2 chooses B, I will receive 40 points, which is the highest possible score. Even if Player 2 chooses A, my payoff will be zero, but at least Player 2 won’t gain maximum advantage."""
+22,mistral-small,0.7,Implicit,X,0.0,"""Choosing X maximizes your own payoff in case Player2 chooses 'A'. If Player 2 plays optimally with the intention to maximize player 1s outcome based on the given payoffs, i.e. 'A'."""
+23,mistral-small,0.7,Implicit,Y,0.0,"""By choosing Y, I maximize my potential payoff. If Player 2 chooses A, I get 0 points; however if she goes for B it gives me 40 as maximum pay-off, which is the highest possible in this game."""
+24,mistral-small,0.7,Implicit,X,0.0,"""I chose X because it maximizes my potential payoff. If Player 2 chooses A, I receive 40 points, which is the highest possible score for me."""
+25,mistral-small,0.7,Implicit,X,1.0,"""Choosing 'X' maximizes the points I can receive in case Player X chooses (A) and also avoids getting no points at all."""
+26,mistral-small,0.7,Implicit,Y,1.0,"""Player 1 receives the same payoff regardless if Player 2 chooses B (which I would receive 5 points) and A (which I would receive 0 points). Because both of these payouts from Player 2 is guaranteed to give me either maximum or less than the X move."""
+27,mistral-small,0.7,Implicit,Y,0.0,"""Player 2 has been instructed to play as their best response so it's clear Player 2 would choose based on maximizing their own payoff. Since we should also be acting rationally, I am choosing Y because in the worst-case scenario where Player 2 chooses A, I only lose out a few points while having the possibility of gaining the maximum if they end up opting for B."""
+28,mistral-small,0.7,Implicit,X,0.0,"""By choosing X, if Player 2 chooses either decision (A or B) my outcomes are higher than my outcomes with Y against the respective decisions."""
+29,mistral-small,0.7,Implicit,Y,0.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I receive 40 points, which is the highest possible score. Even if Player 2 chooses 'A', I still get 0 points but there are strategies or future adjustments I can use based on their move. In contrast choosing 'X' only offers a maximum of 15 points and at worst, i lose all game"""
+30,mistral-small,0.7,Implicit,Y,1.0,"""Choosing 'Y' maximizes my potential payoff. If Player 2 chooses 'B', I get 15 points, which is the highest possible payoff for me in this game."""
+1,deepseek-r1,0.7,Given,Y,0.0,"""Player 2 will choose A, so if I go Y and get 40 points."""
+2,deepseek-r1,0.7,Given,Y,1.0,
+3,deepseek-r1,0.7,Given,X,1.0,
+4,deepseek-r1,0.7,Given,X,0.0,"""Since both players are rational and Player 2 will choose B, choosing X gives me a much higher payoff."""
+5,deepseek-r1,0.7,Given,X,1.0,
+6,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 must choose B because it strictly dominates her options if Player 1 chooses X."""
+7,deepseek-r1,0.7,Given,X,1.0,
+8,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B due to being rational. If I choose Y, I get a higher payoff (15) compared to X (which gives me only 4 if Player 2 instead chooses A). Wait, no—if Player 2 is choosing optimally as dominated strategies are eliminated,"""
+9,deepseek-r1,0.7,Given,Y,0.0,"""“I should choose Y because it leads to a higher payoffs for both players when Player 2 chooses B. However, since Player 2 will rationally choose A due to the dominated strategy by B, choosing X might lead to a lower payoff compared to if I could coordinate with her on A or B."""
+10,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B, so choosing Y maximizes my payoff."""
+11,deepseek-r1,0.7,Given,Y,0.0,
+12,deepseek-r1,0.7,Given,Y,1.0,"""Player 1 must choose Y to maximize their payoff, regardless of Player 2's rational play. If I choose X when she chooses B, which would make me receive zero points,"""
+13,deepseek-r1,0.7,Given,Y,0.0,"""Because I can."""
+14,deepseek-r1,0.7,Given,Y,1.0,"""Since Player 2 will choose B, to maximize my points I should choose Y for a payoff of 15."""
+15,deepseek-r1,0.7,Given,X,1.0,
+16,deepseek-r1,0.7,Given,X,0.0,"""I choose X because if Player 2 is rational, she will play B, so I can take the highest possible score."""
+17,deepseek-r1,0.7,Given,X,1.0,
+18,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 is rational, so she will choose B. Knowing this, Player 1 should choose Y to maximize the payoff."""
+19,deepseek-r1,0.7,Given,Y,0.0,"""As a rational player, I should choose the action that maximizes my minimum possible payoff given Player 2's optimal choice. Since B is strictly dominated by A, and if Player 2 is rational they will always choose A as it is a dominant strategy, choosing Y leads to higher potential payoffs for me compared to X."""
+20,deepseek-r1,0.7,Given,Y,1.0,"""I choose Y because if Player 2 chooses B, I get 15 points instead of X's 0. Additionally, since A is dominated by B and Player 2 will likely choose B, choosing Y gives me a higher payoff."""
+21,deepseek-r1,0.7,Given,X,1.0,"""I choose X because it's the best move if Player 2 chooses A."""
+22,deepseek-r1,0.7,Given,Y,1.0,
+23,deepseek-r1,0.7,Given,X,1.0,"""Player 1 should choose X to maximize their payoff against Player 2's rational choice of A."""
+24,deepseek-r1,0.7,Given,Y,1.0,"""Given that Player 2 must choose B because it strictly dominates A, I should select Y to gain 15 points against them."""
+25,deepseek-r1,0.7,Given,Y,0.0,
+26,deepseek-r1,0.7,Given,Y,1.0,
+27,deepseek-r1,0.7,Given,Y,0.0,"""Because if Player 2 chooses A, I can get either 15 points with X or 40 points with Y. So choosing Y gives me more points."""
+28,deepseek-r1,0.7,Given,Y,1.0,"""Player 1 should choose Y to maximize their payoff. Since Player 2 will always choose B if rational, choosing Y yields a higher payoff (15 points) compared to X (which gives 0 points)."""
+29,deepseek-r1,0.7,Given,X,1.0,"""Player 2 must choose A since B strictly dominates it."""
+30,deepseek-r1,0.7,Given,Y,1.0,"""Player 2 will choose B due to dominating A, so choosing Y offers higher rewards when Player 2 selects B."""
+1,deepseek-r1,0.7,Explicit,X,1.0,"""I choose X because it yields higher payoffs compared to Y in both scenarios regardless of Player 2's move."""
+2,deepseek-r1,0.7,Explicit,X,0.0,
+3,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should choose X to maximize payoff."""
+4,deepseek-r1,0.7,Explicit,X,0.0,"""The action X strictly dominates Y, so choosing X guarantees better outcomes no matter Player 2's choice."""
+5,deepseek-r1,0.7,Explicit,Y,0.0,"""."""
+6,deepseek-r1,0.7,Explicit,X,0.0,"""Player 2 has strictly dominated strategy B over A. So it's optimal to choose X against B."""
+7,deepseek-r1,0.7,Explicit,Y,0.0,"""Player 1 should choose Y because if Player 2 chooses B, it results in a very high payoff (40 points), but since B is dominated by A, Player 1 should stick with X?"""
+8,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y to maximize their own payoff, as in the cases where they choose Y versus X. Specifically, when Player 2 chooses B or Y, selecting Y leads to higher points: 15 vs. choosing X which gives only 0 if opponent picks B and much higher for opponent otherwise."""
+9,deepseek-r1,0.7,Explicit,X,1.0,"""..."""
+10,deepseek-r1,0.7,Explicit,Y,1.0,
+11,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because it dominates X when considering Player 2's strategies."""
+12,deepseek-r1,0.7,Explicit,Y,1.0,"""I need to maximize My own payoff. After considering the outcomes, choosing Y seems to give a higher payoff than X in this situation."""
+13,deepseek-r1,0.7,Explicit,Y,0.0,
+14,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 1 should choose Y to maximize their own payoff."""
+15,deepseek-r1,0.7,Explicit,Y,0.0,"""Because if Player 2 chooses B, I can get 40 points by choosing Y. Choosing X would only give me 5 points. So it's better to choose Y."""
+16,deepseek-r1,0.7,Explicit,Y,1.0,"""Player 2's dominated strategy is A, so choosing Y ensures a better outcome."""
+17,deepseek-r1,0.7,Explicit,Y,0.0,
+18,deepseek-r1,0.7,Explicit,Y,1.0,
+19,deepseek-r1,0.7,Explicit,X,1.0,"""Player 1 should choose X because Player 2 is likely to choose A, as choosing B leads to 0 points for them. Therefore, Player 1 gets the maximum 15 points."""
+20,deepseek-r1,0.7,Explicit,Y,1.0,"""Exploring the best option if Player 2 chooses B seems like it could give me a high reward."""
+21,deepseek-r1,0.7,Explicit,Y,0.0,"""."""
+22,deepseek-r1,0.7,Explicit,Y,1.0,"""Choosing Y maximizes my points against both Player 2's options."""
+23,deepseek-r1,0.7,Explicit,Y,0.0,
+24,deepseek-r1,0.7,Explicit,X,0.0,"""I..."""
+25,deepseek-r1,0.7,Explicit,Y,0.0,"""I reason that choosing Y will give me the higher payoff when Player 2 chooses B. Even though I sometimes receive fewer points with X, if I stick to that strategy and choose X every time, my opponent might be aware of this pattern."""
+26,deepseek-r1,0.7,Explicit,Y,1.0,
+27,deepseek-r1,0.7,Explicit,Y,0.0,"""I choose Y because I can win more points if Player 2 chooses B by getting 40 points, which is higher than any other outcome."""
+28,deepseek-r1,0.7,Explicit,X,0.0,
+29,deepseek-r1,0.7,Explicit,X,1.0,
+30,deepseek-r1,0.7,Explicit,Y,1.0,
+1,deepseek-r1,0.7,Implicit,X,1.0,
+2,deepseek-r1,0.7,Implicit,X,0.0,
+3,deepseek-r1,0.7,Implicit,Y,0.0,"""Looking at the payoffs, choosing Y seems to be a better option as it can yield higher points depending on Player 2's move."""
+4,deepseek-r1,0.7,Implicit,Y,1.0,"""I prefer the higher-stakes option. If both choose Y/A, we get 5 points each, whereas if I play X and they choose B, I get nothing."""
+5,deepseek-r1,0.7,Implicit,Y,0.0,
+6,deepseek-r1,0.7,Implicit,X,0.0,
+7,deepseek-r1,0.7,Implicit,Y,0.0,"""..."""
+8,deepseek-r1,0.7,Implicit,Y,1.0,
+9,deepseek-r1,0.7,Implicit,X,1.0,
+10,deepseek-r1,0.7,Implicit,Y,1.0,"""Choosing Y gives a better payoff than X for some of Player 2's moves."""
+11,deepseek-r1,0.7,Implicit,Y,0.0,
+12,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X because it has a higher potential payoff compared to Y."""
+13,deepseek-r1,0.7,Implicit,X,1.0,
+14,deepseek-r1,0.7,Implicit,Y,1.0,"""The opponent might choose Y to maximize their own points, so I will stick with X to ensure they get fewer points instead."""
+15,deepseek-r1,0.7,Implicit,X,1.0,"""I would choose X because it has the potential to give me more points when Player 2 chooses B."""
+16,deepseek-r1,0.7,Implicit,X,0.0,"""I should choose X to maximize my payoff against any Player 2's choices."""
+17,deepseek-r1,0.7,Implicit,Y,0.0,"""..."""
+18,deepseek-r1,0.7,Implicit,X,0.0,"""I choose X, because..."""
+19,deepseek-r1,0.7,Implicit,X,1.0,"""Choosing X gives me a better chance of getting the highest payoff, especially considering Player 2's possible moves."""
+20,deepseek-r1,0.7,Implicit,Y,1.0,"""Player 1 should choose Y."""
+21,deepseek-r1,0.7,Implicit,X,1.0,"""(based on the given info, X is better for maximum points when needed)"""
+22,deepseek-r1,0.7,Implicit,Y,1.0,"""I want to maximize my own payoff."""
+23,deepseek-r1,0.7,Implicit,Y,0.0,
+24,deepseek-r1,0.7,Implicit,Y,1.0,"""I want to maximize my own points, so I'll choose Y to ensure a higher payoff."""
+25,deepseek-r1,0.7,Implicit,X,1.0,
+26,deepseek-r1,0.7,Implicit,Y,1.0,
+27,deepseek-r1,0.7,Implicit,Y,0.0,"""The optimal strategy for maximizing my own points would be to choose 'Y' because it guarantees the highest payoff in the scenarios where Player 2 chooses either option B, giving me 40 points."""
+28,deepseek-r1,0.7,Implicit,X,0.0,
+29,deepseek-r1,0.7,Implicit,X,1.0,"""I choose X because it seems to maximize my points against both Player 2's choices."""
+30,deepseek-r1,0.7,Implicit,Y,1.0,"""..."""
diff --git a/data/ring/ring.2.csv b/data/ring/ring.2.csv
new file mode 100644
index 0000000..4f51445
--- /dev/null
+++ b/data/ring/ring.2.csv
@@ -0,0 +1,271 @@
+Iteration,Model,Temperature,Belief,action,rationality,reasoning
+1,llama3,0.7,Given,A,1.0,"""Since B is strictly dominated by A, choosing A will always yield a better payoff for Player 2. As Player 2, my goal is to maximize my own payoff, so I choose A."""
+2,llama3,0.7,Given,B,1.0,"""According to the game rules, A is strictly dominated by B. This means that choosing A will always lead to a worse outcome than choosing B. As Player 2, my goal is to maximize my own payoff. Therefore, I choose B because it ensures a better payoff (10 points) compared to A."""
+3,llama3,0.7,Given,A,1.0,"""As Player 2, I should choose A because B is strictly dominated by A. This means that no matter what Player 1 chooses, choosing A will always give me a better payoff than choosing B. Since maximizing my own payoff is the goal of this game, I should rationally choose A."""
+4,llama3,0.7,Given,B,1.0,"""Since A is strictly dominated by B, it's not rational for me as Player 2 to choose A. Given the game rules, choosing B maximizes my payoff, so I'll select B."""
+5,llama3,0.7,Given,A,1.0,"""As Player 2, my goal is to maximize my payoff. Since B is strictly dominated by A, choosing A ensures I receive a higher payoff (10 points) than choosing B (5 points). Given this information, it's rational for me to choose A."""
+6,llama3,0.7,Given,B,1.0,"""Since A is strictly dominated by B, I will choose B as it guarantees a better payoff for Player 2 (10 points) regardless of Player 1's move."""
+7,llama3,0.7,Given,A,1.0,"""As Player 2, I am rational and aim to maximize my payoff. Since B is strictly dominated by A, choosing B would result in a lower payoff than choosing A. Therefore, I logically choose option A to receive the higher payoff of 10 points."""
+8,llama3,0.7,Given,B,1.0,"""As the rules stipulate that A is strictly dominated by B, I must choose B to maximize my own payoff. This is because choosing B guarantees me either 5 points with Player 1's X or 10 points with Player 1's Y, whereas choosing A might result in a 0 point outcome. Given my aim is to maximize my payoff, it would be irrational for me to choose anything other than B. Therefore, my response is B."""
+9,llama3,0.7,Given,A,1.0,"""As the game indicates, B is strictly dominated by A. This means that choosing B would always result in a worse payoff for Player 2 compared to choosing A. Since I want to maximize my own payoff, I will choose A as it guarantees a better outcome for me."""
+10,llama3,0.7,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational decision for Player 2 to maximize their own payoff. This move guarantees a minimum of 10 points and does not leave Player 2 vulnerable to losing more points than they would gain."""
+11,llama3,0.7,Given,A,1.0,"""I am Player 2 and the goal is to maximize my own payoff. Since B is strictly dominated by A, choosing B would not be a rational decision because it results in lower payoffs for both players. Therefore, I will choose A to ensure the highest possible payoff, which is 10 points."""
+12,llama3,0.7,Given,B,1.0,"""As Player 2, I must choose B since A is strictly dominated by B. This means that regardless of what Player 1 chooses (Y or X), choosing B will result in a better payoff for me than choosing A."""
+13,llama3,0.7,Given,A,1.0,"""Since B is strictly dominated by A, choosing A will always give me a better outcome (receive 10 points) as it avoids the worst-case scenario of getting only 5 points. Being rational, I choose to play A."""
+14,llama3,0.7,Given,B,1.0,"""As the game rules state, A is strictly dominated by B. This means that no matter what Player 1 chooses, choosing A will result in a worse outcome for Player 2 than choosing B. Therefore, I have chosen option B to maximize my own payoff, as it provides the best possible outcome given the domination of A."""
+15,llama3,0.7,Given,A,1.0,"""As Player 2, I aim to maximize my own payoff. Since B is strictly dominated by A, choosing B would result in a lower payoff than choosing A. As a rational player, the dominant strategy is to choose the option that gives me the highest expected payoff, which is A. This choice guarantees me at least 10 points and gives me a higher chance of receiving more points compared to choosing B."""
+16,llama3,0.7,Given,B,1.0,"""As Player 2, since A is strictly dominated by B, choosing A would be irrational. Therefore, I will choose the dominant strategy which is to choose B and maximize my own payoff."""
+17,llama3,0.7,Given,A,1.0,"""As the game rules indicate, B is strictly dominated by A. Since Player 2 aims to maximize their own payoff, they should choose A as it guarantees a higher or equal payoff compared to choosing B in any scenario."""
+18,llama3,0.7,Given,B,1.0,"""Since A is strictly dominated by B, Player 2's rational choice is to choose B. This is because B always gives a better outcome for Player 2 than A does."""
+19,llama3,0.7,Given,A,1.0,"""As Player 2, I realized that B is strictly dominated by A, which means choosing B will always result in a lower payoff than choosing A. Since my goal is to maximize my own payoff, I logically deduce that choosing A is the rational decision."""
+20,llama3,0.7,Given,B,1.0,"""As stated in the game rules, A is strictly dominated by B. Since a rational Player 2 should choose B to maximize her payoff, I will also choose B to do the same."""
+21,llama3,0.7,Given,A,1.0,"""Since B is strictly dominated by A and Player 2 must choose rationally to maximize her own payoff, I will choose A as my optimal action."""
+22,llama3,0.7,Given,B,1.0,"""I'm a rational player and since A is strictly dominated by B, the optimal move for me as Player 2 would be to choose B. This choice guarantees I receive at least 5 points, which is better than the uncertain outcome of choosing A."""
+23,llama3,0.7,Given,A,1.0,"""As Player 2, my goal is to maximize my own payoff. Since B is strictly dominated by A, it's irrational for me to choose B. Therefore, I will choose A to ensure a minimum of 10 points and potentially up to 15 points."""
+24,llama3,0.7,Given,B,1.0,"""As Player 2, I need to act rationally to maximize my payoff. Given that A is strictly dominated by B, choosing A would not be a rational choice as it would not provide the highest expected payoff. Therefore, I choose B to receive 10 points and ensure a non-negative payoff."""
+25,llama3,0.7,Given,A,1.0,"""Since B is strictly dominated by A, Player 2 should choose A to maximize their own payoff. This decision ensures a higher payoff (10 points) compared to choosing B and getting only 5 points."""
+26,llama3,0.7,Given,B,1.0,"""Since A is strictly dominated by B, and Player 2 must choose B if she is rational, I will choose B to maximize my own payoff."""
+27,llama3,0.7,Given,A,1.0,"""Since B is strictly dominated by A, and as Player 2 I must choose rationally to maximize my own payoff, I will choose A. Given the game rules, choosing A guarantees me a better payoff than choosing B."""
+28,llama3,0.7,Given,B,1.0,"""As Player 2, my goal is to maximize my own payoff. Since A is strictly dominated by B, choosing B will always be the better option for me. This is because if I choose B and Player 1 chooses Y, I get 10 points while they get 15, but if I choose B and Player 1 chooses X, I still get 5 points and outperform them. Therefore, as a rational player, I will choose B to ensure the highest possible payoff for me."""
+29,llama3,0.7,Given,A,1.0,"""As Player 2, I will choose A rationally because B is strictly dominated by A. This means that choosing B would always result in a lower or equal payoff compared to choosing A. Since my goal is to maximize my own payoff, choosing A is the dominant strategy and the rational choice."""
+30,llama3,0.7,Given,B,1.0,"""As the game rules indicate, A is strictly dominated by B. This means that choosing A would not be a rational option for Player 2 because it would always result in fewer points than choosing B. Therefore, I have chosen B as my optimal response to maximize my own payoff."""
+1,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing B would not maximize my payoff. Therefore, I choose A to get 10 points and minimize the number of points Player 1 can receive."""
+2,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the dominant strategy to maximize my own payoff. Since Player 1's rewards are higher when I play B, it's the best option for me."""
+3,llama3,0.7,Explicit,A,1.0,"""I choose A because it strictly dominates B. Given Player 1's possible moves, choosing A ensures I get at least 10 points (compared to 5 points from choosing B), regardless of Player 1's move. By selecting A, I maximize my expected payoff."""
+4,llama3,0.7,Explicit,A,0.0,"""Since A is strictly dominated by B, it's not optimal for me to choose A. Given the game rules, choosing B will always result in a better payoff for Player 2 than choosing A. Therefore, my rational move is to select B."""
+5,llama3,0.7,Explicit,B,0.0,"""Since B is strictly dominated by A, choosing A would be rational as it yields a higher payoff for Player 2. However, since I have to maximize my own payoff, I will choose B to try and obtain the shared 5 points with Player 1 in case they also choose X."""
+6,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B will result in a higher payoff for me as Player 2 regardless of Player 1's move. Hence, I choose option B to maximize my own payoff."""
+7,llama3,0.7,Explicit,A,1.0,"""I choose A because it is the dominant strategy. Since B is strictly dominated by A, choosing A will give me a higher payoff (10 points) regardless of Player 1's move. Choosing B would only result in a tied game or a lower score, so I opt for the best possible outcome."""
+8,llama3,0.7,Explicit,B,1.0,"""Player 1's choice between Y and X has no impact on the outcome when I choose B, as they would receive 15 points regardless. In this situation, choosing B ensures that I maximize my payoff to 10 points, whereas A guarantees a payoff of at most 5 points. Given that A is strictly dominated by B, it is irrational for me to prefer A over B and thus choose B."""
+9,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A guarantees a higher payoff for Player 2. Given that maximizing my own payoff as Player 2 is the goal, I choose option A to maximize my points."""
+10,llama3,0.7,Explicit,B,1.0,"""Player 1's strategy is uncertain, and choosing B minimizes the potential loss in both scenarios where Player 1 chooses Y (receiving 10 points if Player 1 chooses X)."""
+11,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A will always result in Player 2 receiving at least the same payoff and possibly a better one. Given the absence of additional information, it's rational to choose A to maximize my own payoff."""
+12,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, it's not a viable option. Choosing B gives me the highest payoff (10 points) while minimizing Player 1's score. This move maximizes my own payoffs."""
+13,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing B would not provide any better payoff. Considering the options, I choose A to maximize my own payoff (15 points) against Player 1's X and secure a decent reward (10 points) in case they choose Y."""
+14,llama3,0.7,Explicit,B,1.0,"""Player 1's choice 'Y' sets off an alarm that Player A is strictly dominated by B. Therefore, the optimal decision for me as Player 2 is to choose B, which guarantees a minimum payoff of 10 points, while also giving me the flexibility to potentially maximize my payoff if Player 1 chooses X."""
+15,llama3,0.7,Explicit,A,1.0,"""Player 2 should chose A because B is strictly dominated by A. Hence, the expected payoff from choosing B will be lower than that from choosing A."""
+16,llama3,0.7,Explicit,B,1.0,"""A is strictly dominated by B, which means that choosing A would never be a better option than choosing B. Since Player 1's best response to their own optimal action would be to choose Y (which leads to the highest payoff for them with B), I should choose B to maximize my own payoff of 10 points."""
+17,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, it would not be a rational decision to choose B. As Player 2, I want to maximize my payoff. Choosing A gives me the highest possible payoff (10 points) and ensures that Player 1 does not receive too many points. Therefore, my best move is to choose action A."""
+18,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, I will choose the action that dominates it. Between Y and X, choice Y gives me a higher payoff (5 points) if Player 1 chooses A, so I'll choose B to maximize my payoff."""
+19,llama3,0.7,Explicit,A,1.0,"""I choose 'A' as it is the dominating strategy, giving me a higher payoff (15 points) than choosing 'B'. Since B is strictly dominated by A, I will always want to choose A to maximize my payoff."""
+20,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, it's not a viable option to consider. Therefore, I'll choose the dominant strategy B to maximize my own payoff."""
+21,llama3,0.7,Explicit,A,1.0,"""Player 2 should choose action A because it is not dominated and gives a higher payoff (10 points) than player B. Additionally, since Player 1's optimal response to Player 2's action will be chosen, Player 2 can anticipate that they would choose X if Player 2 chooses A. In this case, Player 2 receives 10 points, while Player 1 only receives 15 points."""
+22,llama3,0.7,Explicit,A,0.0,"""I choose A because it is not strictly dominated by B. Even though we can't directly compare the payoffs, I am maximizing my own payoff by choosing A to make sure I get at least 5 points, while keeping an eye out for Player 1's choice."""
+23,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing B would not be rational. A is the dominant strategy for both players, as it gives a higher payoff to Player 2 compared to B. Therefore, I will choose A to maximize my own payoff of 10 points."""
+24,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B guarantees a higher payoff for Player 2. Given this information, it's the best rational choice."""
+25,llama3,0.7,Explicit,A,1.0,"""As Player 2, my goal is to maximize my own payoff. Since B is strictly dominated by A, I choose A because it offers the highest possible points (10) and ensures a win against Player 1's action Y. Additionally, choosing A still provides a decent payoff of 10 points in case Player 1 chooses X."""
+26,llama3,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, I choose B to maximize my own payoff. A would give me a certain loss while B could provide a higher reward."""
+27,llama3,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing B would always result in a lower payoff for Player 2. Therefore, it's rational to choose the dominating action A to maximize my own payoff."""
+28,llama3,0.7,Explicit,B,1.0,"""Player 1's strategy Y is not strictly dominated, but Player B still maximizes my payoff by giving me 10 points in the worst-case scenario (assuming Player 1 chooses Y), while also having a chance to earn 5 points if Player 1 chooses X. Therefore, I choose action 'B' as it is not dominated and provides the highest expected value."""
+29,llama3,0.7,Explicit,A,1.0,"""I choose action A because it is not dominated by B. Since B is strictly dominated by A, choosing B would result in a lower payoff than choosing A, which would also give me 10 points, making it the optimal choice for Player 2 to maximize their own payoff."""
+30,llama3,0.7,Explicit,B,1.0,"""I choose B because it is not strictly dominated by any other option. Player 1's best response to my choice of B is either Y or X, but neither Y nor X would give me the worst possible outcome (0 points). Additionally, choosing A would guarantee a worse payoff than B since A is strictly dominated by B. Therefore, I will choose B to maximize my expected payoffs."""
+1,llama3,0.7,Implicit,A,1.0,"""Since choosing 'A' gives me 10 points when Player 1 chooses X, which is the higher payoff compared to the other options (5 points), I will choose 'A' to maximize my own payoff."""
+2,llama3,0.7,Implicit,A,0.0,"""I am Player 2, and my goal is to maximize my own payoff. Since Player 1 can choose either Y or X, I need to consider the payoffs for each possible combination. If Player 1 chooses Y and I choose B, I would get 10 points. However, if Player 1 chooses X and I choose B, I would only get 5 points. Therefore, my best move is to choose A, which gives me a chance to receive 0 points from Player 1's X choice while still getting 5 points."""
+3,llama3,0.7,Implicit,B,0.0,"""I'm choosing B because if Player 1 chooses X, I'll get 5 points and Player 1 will only get 5. This way, I can maximize my payoff by minimizing the impact of their move."""
+4,llama3,0.7,Implicit,A,0.0,"""As Player 2, my goal is to maximize my own payoff. Comparing the possible outcomes, I see that choosing 'A' when Player 1 chooses 'X' would guarantee me 10 points, which is the highest possible reward for me in this game. Therefore, my rational choice is to choose 'A'."""
+5,llama3,0.7,Implicit,B,0.0,"""Since both options A and B provide a payoff for Player 1, I'll choose the option that gives me a higher payoff. Choosing B guarantees my payoff to be at least 5 points, whereas if I choose A, I could potentially receive only 10 points. My priority is to maximize my own payoff, so I opt for Option B."""
+6,llama3,0.7,Implicit,A,0.0,"""As the goal is to maximize my own payoff, I choose action A because it has a higher expected value than B. In the scenario where Player 1 chooses X, choosing A ensures I get 10 points while losing to Y still only gives me 5 points. Overall, A provides more opportunities for gain and minimizes potential losses"""
+7,llama3,0.7,Implicit,A,1.0,"""Given the payoff structure, choosing A over B provides a guaranteed 10 points if Player 1 chooses X. If Player 1 chooses Y, I still have a chance to get 5 points with my secondary move. Considering maximizing my own payoff, I opt for choice A to secure the higher potential gain."""
+8,llama3,0.7,Implicit,A,0.0,"""As Player 2, I should choose the option that maximizes my own payoff. Since choosing B would result in me receiving only 10 points if Player 1 chooses Y, and choosing A will guarantee me at least 5 points regardless of Player 1's choice, I decide to choose A."""
+9,llama3,0.7,Implicit,B,0.0,"""As Player 2, my goal is to maximize my own payoff. Comparing the possible outcomes, I can see that if Player 1 chooses X, I'll get a guaranteed 5 points with option B, whereas option A would give me only 10 points, assuming Player 1 makes that choice. Since I want to maximize my score, I chose option B (B)."""
+10,llama3,0.7,Implicit,A,0.0,"""Since the highest reward for Player 2 is 10 points, I will choose action 'A' to maximize my payoff and ensure a potential gain of 10 points."""
+11,llama3,0.7,Implicit,B,0.0,"""Since Player 1 can get either 15 points (by choosing X and I choosing B) or 5 points (by choosing Y and I also choosing B), maximizing my own payoff, I will choose B to guarantee 5 points for myself while giving Player 1 a choice of getting either 5 or 0 points."""
+12,llama3,0.7,Implicit,A,0.0,"""I choose option A because it is a risk-free strategy that guarantees a non-negative payoff for me. If Player 1 chooses Y, I will get 5 points and if they choose X, I'll get 10 points. This choice allows me to maximize my expected payoff while minimizing potential losses."""
+13,llama3,0.7,Implicit,B,0.0,"""I choose B because it guarantees a minimum profit of 5 points for me, regardless of Player 1's choice. This is the safest option to maximize my payoff."""
+14,llama3,0.7,Implicit,A,0.0,"""As Player 2, my goal is to maximize my own payoff. Since choosing A can result in a draw (5 points for both players) and avoiding the loss scenario where Player 1 gets 15 points, I choose action A to minimize the risk."""
+15,llama3,0.7,Implicit,B,0.0,"""As Player 2, my goal is to maximize my own payoff. When Player 1 chooses Y, I can get 5 points by choosing B, which is better than the 0 points I would get for choosing A. When Player 1 chooses X, it's a mixed strategy between getting 10 and 5 points. Since there's no clear dominant strategy, I choose B to diversify my possible outcomes and ensure a minimum of 5 points."""
+16,llama3,0.7,Implicit,A,0.0,"""I'm choosing 'A' because it maximizes my payoff in every scenario. If Player 1 chooses Y, I'll receive either 5 points or 10 points, both of which are better than the 0 points I would get if they choose X and I choose B. Additionally, if Player 1 chooses X, I can ensure a positive score by choosing 'A' and receiving 10 points."""
+17,llama3,0.7,Implicit,B,0.0,"""Considering the game rules, choosing B gives me a payoff of 5 points if Player 1 chooses X and 0 points if they choose Y. This is a safer option as it limits my potential loss to 5 points. I prioritize minimizing my potential losses over maximizing gains."""
+18,llama3,0.7,Implicit,A,0.0,"""As Player 2, my goal is to maximize my own payoff. The optimal strategy for me would be to choose 'A' when Player 1 chooses 'X', and get a higher payoff of 10 points compared to the 5 points if I chose 'B'. Since there's no information about what Player 1 will do, I'll opt for the safer choice which gives me the highest possible reward in case they choose 'X'"""
+19,llama3,0.7,Implicit,B,0.0,"""I choose B because it is a dominant strategy. Regardless of what Player 1 chooses, choosing B gives me the highest expected payoff. If Player 1 chooses X, I will get at least 5 points. If Player 1 chooses Y, I will also get at least 0 points. In contrast, if I choose A, my worst-case scenario is getting only 10 points if Player 1 chooses X."""
+20,llama3,0.7,Implicit,B,1.0,"""As Player 2, my goal is to maximize my payoff. Since the outcome (Player 1 choosing Y and I choosing B) gives me 10 points, it's a better option than choosing A or B with other combinations of moves. Therefore, my rational choice is to choose B."""
+21,llama3,0.7,Implicit,A,1.0,"""As Player 2, my primary goal is to maximize my own payoff. Among the given options, choosing A would lead to a higher payoff (10 points) as compared to choosing B (5 points). Additionally, it's important to note that choosing A also leads to a lower payoff for Player 1 (10 points) as opposed to the possibility of them receiving 15 points if I chose B. Considering these factors, I decide to choose A to maximize my own gain."""
+22,llama3,0.7,Implicit,A,0.0,"""I have analyzed the game rules and decided to choose 'A' as my action. This is because choosing 'A' results in a draw with 5 points for both myself and Player 1 (since neither of us wants Player 1 to get more than they're eligible to), while 'B' would only give Player 1 15 points, which I don't believe maximizes my payoff."""
+23,llama3,0.7,Implicit,B,0.0,"""As Player 2, my goal is to maximize my own payoff. I can see that if Player 1 chooses X, I would receive 10 points by choosing A, but only 5 points by choosing B. Since 10 > 5, it's better for me to choose A in this scenario. However, if Player 1 chooses Y, I would receive 0 points by choosing A and lose to them immediately. By choosing B instead, I have a chance to earn 5 points which is still my maximum possible payoff. Therefore, the rational choice for me as Player 2 is to choose B."""
+24,llama3,0.7,Implicit,A,0.0,"""I choose 'A' because it is a dominant strategy for Player 2. If Player 1 chooses X, I will get 10 points by choosing 'A'. If Player 1 chooses Y, I will also get 5 points by choosing 'A', which is better than getting only 10 points if Player 1 chooses B."""
+25,llama3,0.7,Implicit,B,0.0,"""Since the main goal is to maximize my own payoff, I will choose 'B'. This is because if Player 1 chooses X and I choose B, we both receive 5 points, which is a more favorable outcome for me compared to choosing A and risking a lower payoff. Additionally, if Player 1 chooses Y and I choose B, I guarantee a 10-point reward, whereas choosing A only yields 0 points in that scenario. Thus, the highest expected value comes from choosing 'B'."""
+26,llama3,0.7,Implicit,A,0.0,"""I'll choose 'A' because it's the only option that can guarantee me a higher payoff. If I choose 'B', Player 1 will get 15 points and I'll get 10, which is not the optimal strategy for Player 2. On the other hand, choosing 'A' ensures that either I'll get 5 points or Player 1 will get 0 points, while I won't get stuck with a low payoff if they choose differently."""
+27,llama3,0.7,Implicit,B,0.0,"""I want to minimize the payoff to Player 1 by choosing B, as it gives them only 5 points regardless of their move. This strategy ensures I get at least 5 points, either by getting 5 points myself (if they choose X) or by preventing them from getting more than 15 points."""
+28,llama3,0.7,Implicit,A,0.0,"""Since I'm Player 2, my goal is to maximize my payoff. Comparing the different payoffs, if Player 1 chooses Y, giving them 15 points would be unprofitable for me. If they choose X, I can guarantee at least 5 points by choosing A. Therefore, my rational choice is to choose A."""
+29,llama3,0.7,Implicit,B,0.0,"""As Player 2, I aim to maximize my own payoff. Choosing B gives me the highest potential reward in all four possible scenarios. If Player 1 chooses X, I get 5 points with B and 10 points if they choose Y. This maximization strategy appears to be the most rational decision given the game rules."""
+30,llama3,0.7,Implicit,B,1.0,"""Since Player 1 can choose to select Y and receive 15 points if I choose B, it is my best option to minimize their payoff. By choosing B, I ensure that they will only get 10 points and I receive the same."""
+1,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points with A compared to 5 with B. If Player 1 chooses Y, I still get 5 points by picking A whereas if i choose B, I will get zero."""
+2,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' is the rational decision because it maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I get 5 points. Choosing 'A' would result in lower or equal rewards (5 points and 0 points respectively), hence choosing 'B' is the optimal strategy."""
+3,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff irrespective of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I get 5 points. Choosing 'B' would result in only 5 points or 0 points depending on Player 1’s choice. Therefore, choosing A is the rational strategy."""
+4,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points. Choosing A would mean I do better in certain scenarios but do worse than selecting B in others."""
+5,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Since B is strictly dominated by A, choosing A ensures a better outcome."""
+6,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses 'Y,' I get 10 points by choosing 'B'; if Player 1 chooses 'X,' I still get 5 points, which is better than the 0 points I would receive by choosing 'A'. Since A is strictly dominated B seems the best approach."""
+7,mistral-small,0.7,Given,A,1.0,"""Given that choosing B is strictly dominated by choosing A, meaning A always provides a better payoff regardless of Player 1's move, the rational choice for Player 2 is to choose A to maximize their own points."""
+8,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses Y, I get 10 points compared to 5 if I choose A. If Player 1 chooses X, I still get better outcomes by choosing B rather than being zeroed out from the dominated move of player 1."""
+9,mistral-small,0.7,Given,A,1.0,"""As Player 2, I need to maximize my own payoff. By choosing 'A', I can ensure that I get the highest possible points in any scenario."""
+10,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' is the rational move because it guarantees a higher payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points instead of 5 (both when choosing A). If Player 1 chooses X, then if I choose B I end up with 5 points."""
+11,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff in both scenarios where Player 1 chooses either X (I get 10 points) or Y (I get 5 points). Choosing B would result in lower or equal payoffs depending on Player 1's choice, making A the strictly dominant strategy."""
+12,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I get 5 points. Choosing A would result in lower or equal points compared to B."""
+13,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff in both scenarios. If Player 1 chooses 'X', I get 10 points; if Player 1 chooses 'Y', I still get 5 points."""
+14,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I get 5 points. Since A is strictly dominated by B, choosing B is the rational decision."""
+15,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'X', I get 10 points; if Player 1 chooses 'Y', I still get 5 points. In contrast, choosing 'B' would result in either 5 or 0 points, which is less optimal."""
+16,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's decision since A is strictly dominated by B."""
+17,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff in both scenarios where Player 1 chooses X and Y. It also avoids a situation with the minimum points which is 0."""
+18,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's move. If Player 1 chooses Y, I get 10 points. If Player 1 chooses X, I get 5 points. Choosing A would result in a lower payoff (either 0 or 5 points)."""
+19,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' is the rational decision because it maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'X', I get 10 points; if Player 1 chooses 'Y', I still get 5 points, but these are not less than what you would give in such cases when choosing B (which leads to only zero in case Y is chosen)."""
+20,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses 'Y', I get 10 points with 'B', and if Player 1 chooses 'X', I still get a positive payoff of 5 points."""
+21,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff in all scenarios. If Player 1 chooses X, I get 10 points with A versus 5 points with B. If Player 1 chooses Y, I still get 5 points with A, whereas with B I get nothing."""
+22,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff in all scenarios. If Player 1 chooses Y, I get 10 points with B compared to only 5 points with A. If Player 1 chooses X, I still get a better outcome with (0 points for P2 using A) or at least the same as when choosing B (5 points but better by P2). Therefore, rational choice is always opting for B."""
+23,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' is the rational decision because it maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points with A but only 5 points with B. If Player 1 chooses Y, I get 5 points with A and nothing (0 points) with B. Additionally, choosing 'B' is strictly dominated by 'A', which confirms that picking A leads to better outcomes in all scenarios."""
+24,mistral-small,0.7,Given,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points."""
+25,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points with A and only 5 points with B. If Player 1 chooses Y, I get 5 points with A and 0 points with B. Since 'B' is strictly dominated by 'A', the rational choice is to select 'A'."""
+26,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' is the rational decision because it strictly dominates choosing 'A'. This means that regardless of Player 1's choice, selecting 'B' will always result in a higher or equal payoff for me compared to choosing 'A'. Specifically, if Player 1 chooses Y, I get 10 points by choosing B as opposed to 5 with A. If Player 1 chooses X, I get 5 points by choosing B versus 0 with A."""
+27,mistral-small,0.7,Given,A,1.0,"""I chose 'A' because it is a rational decision based on the rules provided. Choosing 'A' ensures that regardless of Player 1's move (X or Y), my payoff will be better than if I had chosen 'B'. Specifically, choosing 'A' guarantees me 5 points in case player one choses Y and 10 with X which is more compared to B."""
+28,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses Y, I get 10 points with B compared to 5 points with A. If Player 1 chooses X, I get 5 points with B while getting 0 points choosing A."""
+29,mistral-small,0.7,Given,A,1.0,"""Choosing 'A' maximizes my own payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points with A and only 5 points if they choose B."""
+30,mistral-small,0.7,Given,B,1.0,"""Choosing 'B' maximizes Player 2's payoff in all scenarios. If Player 1 chooses 'Y', I get 10 points; if Player 1 chooses 'X', I still get the highest payoff."""
+1,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff in both scenarios. If Player 1 chooses X, I get 10 points with A; if Player 1 chooses Y, I still get a decent score of 5 points"""
+2,mistral-small,0.7,Explicit,B,1.0,"""Player 2 has strictly higher payoffs when choosing B over A. Since A is strictly dominated by B, and I don't know the opponent's decision yet."""
+3,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Since B is strictly dominated by A, choosing B would never be better."""
+4,mistral-small,0.7,Explicit,B,1.0,"""Since B strictly dominates A, choosing B guarantees a higher payoff regardless of Player 1's choice. If Player 1 chooses Y, I will get 10 points, and if Player 1 chooses X, I will still get 5 points."""
+5,mistral-small,0.7,Explicit,A,1.0,"""I chose 'A' because it provides a higher payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points with A instead of 5 points with B. If Player 1 chooses Y, I still get 5 points with A, the same as B but with an advantage in most scenarios"""
+6,mistral-small,0.7,Explicit,B,1.0,"""Choosing B is the rational decision because it maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points with B compared to 5 points with A. If Player 1 chooses X, I get 5 points with B instead of 0 points with A."""
+7,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing 'B' would only give me 5 points if Player 1 chooses X and 0 points if Player 1 chooses Y."""
+8,mistral-small,0.7,Explicit,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses 'Y', I get 10 points compared to 5 points if I choose 'A'. If Player 1 chooses 'X', I still get 5 points with either choice but choosing B does not reduce my earning potential."""
+9,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'X', I get 10 points, and if Player 1 chooses 'Y', I still get 5 points. Choosing 'B' would result in 5 points at best which is strictly dominated by the 10 or 5 with A."""
+10,mistral-small,0.7,Explicit,B,1.0,"""Choosing B maximizes my own payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points. If Player 1 chooses X, I still get 5 points. Choosing A would give me either 5 or 0 points depending on Player 1’s move—so it is less advantageous."""
+11,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' is the optimal strategy because it guarantees a higher payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Since B is strictly dominated by A, choosing A maximizes my potential payoff."""
+12,mistral-small,0.7,Explicit,B,1.0,"""I chose B because it is a strictly dominant strategy. Regardless of Player 1's choice, choosing B either matches the point they get when I choose 'A' or gives me more points. If Player 1 chooses Y, I get 10 points for choosing B while if they choose X, I receive 5 points which is better than getting nothing."""
+13,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes the minimum payoff. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing B leads to either a lower guaranteed payoff of 5 or 0 points."""
+14,mistral-small,0.7,Explicit,B,1.0,"""I chose 'B' because it is the dominant strategy. It yields a higher payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points with B compared to only 5 with A. If Player 1 chooses X, then choosing B will give me still some profit (I get 5 points) rather than getting nothing when picking A."""
+15,mistral-small,0.7,Explicit,A,1.0,"""I chose 'A' because it is strictly dominant over 'B'. By choosing 'A', I ensure that regardless of Player 1's move, I get the highest payoff possible (10 points if Player 1 chooses X and 5 points if Player 1 chooses Y). Therefore choosing A maximizes my own payoff."""
+16,mistral-small,0.7,Explicit,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points. Choosing A would result in only 5 points if Player 1 chooses Y and no points if Player 1 chooses X."""
+17,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing 'B' would result in only 5 points if Player 1 chooses X and 0 points if Player 1 chooses Y. Therefore, 'A' is the optimal choice."""
+18,mistral-small,0.7,Explicit,B,1.0,"""I chose B because it is the strictly dominant strategy. Regardless of Player 1's choice, selecting B will either match or maximize my payoff, ensuring I always get a higher return based on these rules."""
+19,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing 'B' would result in lower or equal points depending on Player 1's choice and this strategy is strictly dominated by 'A'."""
+20,mistral-small,0.7,Explicit,B,1.0,"""Player B is maximized by choosing B, because A is strictly dominated strategy for player 2. In all situations with B as a move there isn't a situation where Player 1 and 2 can receive more than 5 points."""
+21,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'X', I get 10 points, and if Player 1 chooses 'Y,' I get 5 points."""
+22,mistral-small,0.7,Explicit,B,1.0,"""I chose B because it is the dominant strategy for Player 2. Regardless of Player 1's choice, choosing B yields a higher payoff (10 points if Player 1 chooses Y and 5 points if Player 1 chooses X). A is strictly dominated by B."""
+23,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing 'B' would result in either 5 points or 0 points depending on Player 1's move, which is less optimal."""
+24,mistral-small,0.7,Explicit,B,1.0,"""Choosing 'B' maximizes my payoff in all scenarios. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I get 5 points. Since 'A' is strictly dominated by 'B', choosing 'B' ensures a higher or equal payoff regardless of Player 1's choice."""
+25,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Choosing 'B' only gives me 5 or 0 points, which is less optimal."""
+26,mistral-small,0.7,Explicit,B,1.0,"""Choosing 'B' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I get 5 points. Since 'A' is strictly dominated by 'B', choosing 'B' ensures a better outcome for me in all scenarios."""
+27,mistral-small,0.7,Explicit,A,1.0,"""I chose 'A' because it is strictly dominant over 'B'. Regardless of Player 1's choice, selecting 'A' will either give me more points (when Player 1 chooses X) or the same points with an additional outcome. It ensures a higher payoff."""
+28,mistral-small,0.7,Explicit,B,1.0,"""Choosing B maximizes my payoff because it either gets me 10 points (if Player 1 chooses Y) or at least 5 points (if Player 1 chooses X). Since A is strictly dominated by B, choosing A would never be optimal."""
+29,mistral-small,0.7,Explicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get 5 points. Since B is strictly dominated by A, choosing B would never give me a higher payoff than choosing A."""
+30,mistral-small,0.7,Explicit,B,1.0,"""Choosing 'B' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I still get 5 points."""
+1,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points. If Player 1 chooses Y, I still get 5 points. This strategy ensures I always get a positive payoff."""
+2,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my own payoff since if Player 1 chooses Y, I get 10 points instead of 5. If Player 1 chooses X, I still get 5 points which means that I have nothing to lose by choosing B over A."""
+3,mistral-small,0.7,Implicit,B,0.0,"""Choosing 'B' maximizes my potential payoff. If Player 1 chooses X, I get 5 points. However, If Player 1 chooses Y, I still have a chance for getting 0 points but avoiding the high loss that Player 2 has."""
+4,mistral-small,0.7,Implicit,B,1.0,"""I chose B because it maximizes my potential payoff. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points. Choosing A only guarantees me a maximum of 5 points and could result in 0 points."""
+5,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' ensures that I get at least 10 points if Player 1 chooses 'X'. If Player 1 chooses 'Y', I still get 5 points. This strategy maximizes my minimum payoff."""
+6,mistral-small,0.7,Implicit,B,1.0,"""I chose B because it gives me the highest possible payoff (10 points) if Player 1 chooses Y, and in the worst case I only get 5 points which is not worse than getting 0 points in case i choose A. It minimizes my chance to receive no reward."""
+7,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my payoff in one scenario and provides a decent payoff in the other. If Player 1 chooses X, I get 10 points. If Player 1 chooses Y, I still get 5 points, which is better than getting 0 points by choosing B."""
+8,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes my payoff. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I get 5 points. In both scenarios in X or Y choosing will maximize the value for me"""
+9,mistral-small,0.7,Implicit,A,1.0,"""By choosing 'A', I maximize my potential payoff. If Player 1 chooses 'X', I get 10 points, which is the highest possible payoff for me. If Player 1 chooses 'Y', I still get 5 points, which is better than getting 0 points if I choose 'B' and Player 1 chooses 'Y'."""
+10,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my payoff in both scenarios. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I get 5 points."""
+11,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 10 points; if Player 1 chooses Y, I still get a significant boost."""
+12,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my payoff regardless of what Player 1 chooses. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points. Choosing A would give me only 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X."""
+13,mistral-small,0.7,Implicit,B,0.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses X, I get 5 points, and if Player 1 chooses Y, I still get 0 points but prevent Player 2 from scoring high if they choose A."""
+14,mistral-small,0.7,Implicit,B,1.0,"""By choosing B, I maximize my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points, and if Player 1 chooses X, I still get 5 points."""
+15,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my payoff in the case where Player 1 chooses 'X', giving me 10 points. If Player 1 chooses 'Y', I will still get 5 points, which is better than choosing 'B' when Player 1 picks X."""
+16,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my payoff in both scenarios where Player 1 chooses X (I get 0 points) or Y (I get 5 points). By choosing A, I will have to deal with the uncertainty of whether Player 2 will do worse than expected."""
+17,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my payoff in one scenario (10 points if Player 1 chooses X) and minimizes the maximum possible loss from a potential suboptimal strategy by player one. Choosing B has no advantage over A"""
+18,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes my payoff in both scenarios where Player 1 chooses 'Y' or 'X'. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I still get 5 points. Choosing 'A' would result in either a tie with player one (at five pips) or no score."""
+19,mistral-small,0.7,Implicit,A,1.0,"""I chose option 'A' because it guarantees me at least 5 points, it maximizes my payoff to 10 by cooperating with player one."""
+20,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes my payoff in both scenarios. If Player 1 chooses 'Y', I get 10 points (which is more than the 5 points from choosing 'A'). If Player 1 chooses 'X', I still get 5 points (compared to 0 points from choosing 'A')."""
+21,mistral-small,0.7,Implicit,A,1.0,"""By choosing 'A', I ensure that Player 1 will receive the most points (15) and I receive a decent amount (10 points). This maximizes stability and is beneficial if both players attempt at maximixing the highest total combined score"""
+22,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes Player 2's payoff in most cases. If Player 1 chooses 'Y', I get 10 points, and if Player 1 chooses 'X', I still get 5 points."""
+23,mistral-small,0.7,Implicit,B,0.0,"""Choosing B maximizes my payoff. If Player 1 chooses X, I get 5 points, and if Player 1 chooses Y, I get 0 points. Since choosing B ensures at least 5 points against X, it is rational when aiming to maximize the outcome for myself."""
+24,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my payoff if Player 1 chooses Y since I get higher points. Even if Player 1 chooses X, I still receive some points but I avoid receiving 0 if Player 1 decides on that move."""
+25,mistral-small,0.7,Implicit,B,0.0,"""Player 2 should choose 'B' because it minimizes the chance of receiving 0 points, and the worst-case scenario (when Player 1 chooses X) is still getting 5 points compared to 10 when choosing A which depends on player one's decision. Therefore, strategically Player 2 will go for point B."""
+26,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes my potential payoff. If Player 1 chooses 'Y', I get 10 points, which is higher than the 5 points I would get if Player 1 chooses either option when I choose 'A'."""
+27,mistral-small,0.7,Implicit,A,1.0,"""By choosing 'A', I maximize my payoff in the worst-case scenario. If Player 1 chooses 'X', I get 10 points, and if Player 1 chooses 'Y', I still get 5 points. This strategy ensures that regardless of Player 1's choice, I have a guaranteed positive payoff."""
+28,mistral-small,0.7,Implicit,B,1.0,"""Choosing 'B' maximizes my potential payoff. If Player 1 chooses Y, I get 10 points, which is higher than the 5 points I would get if Player 1 chooses X. If Player 1 chooses X, I still get 5 points."""
+29,mistral-small,0.7,Implicit,A,1.0,"""Choosing 'A' maximizes my minimum payoff. If Player 1 chooses 'X', I get 10 points; if Player 1 chooses 'Y', I still get 5 points. This strategy ensures I never end up with 0 points."""
+30,mistral-small,0.7,Implicit,B,1.0,"""Choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, I get 10 points; if Player 1 chooses X, I still get 5 points."""
+1,deepseek-r1,0.7,Given,A,1.0,"""Since B is strictly dominated by A, choosing A maximizes my payoff regardless of Player 1's choice."""
+2,deepseek-r1,0.7,Given,B,1.0,
+3,deepseek-r1,0.7,Given,A,1.0,
+4,deepseek-r1,0.7,Given,B,1.0,
+5,deepseek-r1,0.7,Given,A,1.0,"""Since Player 2 prefers higher payoffs, choosing A yields more points for them."""
+6,deepseek-r1,0.7,Given,B,1.0,"""Since option B strictly dominates option A, choosing B leads to better outcomes in all scenarios. As a rational player aiming to maximize my payoff, I will select B."""
+7,deepseek-r1,0.7,Given,A,1.0,"""Player 2 should choose A because it dominates B."""
+8,deepseek-r1,0.7,Given,B,1.0,
+9,deepseek-r1,0.7,Given,A,1.0,
+10,deepseek-r1,0.7,Given,B,1.0,"""Player 2 must choose B if she is rational."""
+11,deepseek-r1,0.7,Given,B,0.0,
+12,deepseek-r1,0.7,Given,B,1.0,
+13,deepseek-r1,0.7,Given,A,1.0,
+14,deepseek-r1,0.7,Given,B,1.0,
+15,deepseek-r1,0.7,Given,B,0.0,
+16,deepseek-r1,0.7,Given,B,1.0,"""Since Player 2 can maximize their own payoff by choosing B instead of A, as shown in the game rules, it is strictly dominant for them to select B."""
+17,deepseek-r1,0.7,Given,A,1.0,
+18,deepseek-r1,0.7,Given,B,1.0,"""Since player 2 wants to maximize her score, choosing B gives a higher payoff for all possible moves by Player 1."""
+19,deepseek-r1,0.7,Given,A,1.0,
+20,deepseek-r1,0.7,Given,B,1.0,"""Since Player 2's strategy to choose B dominates all other options, particularly because Y is strictly dominated by B for Player 1. Therefore, choosing B ensures higher payoff compared to A."""
+21,deepseek-r1,0.7,Given,A,1.0,"""Player 2 should choose 'A' because B is dominated by A."""
+22,deepseek-r1,0.7,Given,A,0.0,
+23,deepseek-r1,0.7,Given,A,1.0,"""Since B is strictly dominated by A, choosing A maximizes my payoff in all scenarios."""
+24,deepseek-r1,0.7,Given,B,1.0,"""Since Player 2 is rational, she should choose B because A is strictly dominated by B."""
+25,deepseek-r1,0.7,Given,A,1.0,"""B is strictly dominated by A, so I should choose A to maximize my payoff."""
+26,deepseek-r1,0.7,Given,B,1.0,"""Player 2 should choose B because, given that Player 1's strategies for X and Y are countered by higher payoffs when Player 2 chooses B over A."""
+27,deepseek-r1,0.7,Given,B,0.0,"""Because I will take the dominated strategy to maximize my points."""
+28,deepseek-r1,0.7,Given,B,1.0,
+29,deepseek-r1,0.7,Given,B,0.0,
+30,deepseek-r1,0.7,Given,B,1.0,"""Since option A is strictly dominated by B, choosing B ensures a better outcome for player 2 regardless of player 1's choice."""
+1,deepseek-r1,0.7,Explicit,A,1.0,
+2,deepseek-r1,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, I choose B to maximize my minimum gain."""
+3,deepseek-r1,0.7,Explicit,A,1.0,"""Because option B is strictly worse for me, I will choose A instead."""
+4,deepseek-r1,0.7,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing option B will give me a higher payoff regardless of Player 1's choice."""
+5,deepseek-r1,0.7,Explicit,A,1.0,"""I choose A because it dominates B when Player 1 chooses Y, ensuring I get at least 5 points instead of possibly 0."""
+6,deepseek-r1,0.7,Explicit,B,1.0,"""I choose B because..."""
+7,deepseek-r1,0.7,Explicit,B,0.0,"""..."""
+8,deepseek-r1,0.7,Explicit,A,0.0,
+9,deepseek-r1,0.7,Explicit,B,0.0,"""I choose B because it leads to mutual cooperation and higher payoffs for both players."""
+10,deepseek-r1,0.7,Explicit,A,0.0,
+11,deepseek-r1,0.7,Explicit,A,1.0,"""I choose to play A because it dominates B in all scenarios where Player 1 chooses X or Y."""
+12,deepseek-r1,0.7,Explicit,B,1.0,"""I choose B because it dominates all other options"""
+13,deepseek-r1,0.7,Explicit,B,0.0,"""Because I choose according to my best strategy since B is dominated by A."""
+14,deepseek-r1,0.7,Explicit,A,0.0,"""Player 1 may choose X over Y since Player 2 should maximize their own payoff."""
+15,deepseek-r1,0.7,Explicit,B,0.0,"""Because I prefer getting 10 points over 5, even if it meant losing some other potential."""
+16,deepseek-r1,0.7,Explicit,B,1.0,"""Player 2 should choose B because it is strictly dominated by A and dominates the potential lower payoffs."""
+17,deepseek-r1,0.7,Explicit,A,1.0,"""..."""
+18,deepseek-r1,0.7,Explicit,A,0.0,"""..."""
+19,deepseek-r1,0.7,Explicit,B,0.0,"""I choose B because it offers potential higher points compared to A."""
+20,deepseek-r1,0.7,Explicit,B,1.0,"""I choose B because it dominates over both Y and X for Player 1."""
+21,deepseek-r1,0.7,Explicit,A,1.0,
+22,deepseek-r1,0.7,Explicit,A,0.0,"""Because selecting A gives me at least 0 points even if Player 1 chooses X, while B might give fewer."""
+23,deepseek-r1,0.7,Explicit,B,0.0,"""I choose B because it gives a higher payoff when Player 1 chooses Y, which seems to be a better outcome for me."""
+24,deepseek-r1,0.7,Explicit,A,0.0,
+25,deepseek-r1,0.7,Explicit,A,1.0,"""Player 2 has no incentive to choose B as it is strictly dominated by A."""
+26,deepseek-r1,0.7,Explicit,B,1.0,"""Since option B is strictly dominated by A, I will choose B to maximize my own payoff."""
+27,deepseek-r1,0.7,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A maximizes my payoff in all scenarios."""
+28,deepseek-r1,0.7,Explicit,B,1.0,"""Since Player 1 is playing X, choosing B gives me a better payoff than A."""
+29,deepseek-r1,0.7,Explicit,B,0.0,
+30,deepseek-r1,0.7,Explicit,B,1.0,"""Since Player 1 is choosing X and I, as a rational Player 2, I should stick with the optimal strategy to maximize my payoffs. Given that 'A' strictly dominates 'X', choosing B provides me higher points in all possible scenarios."""
+1,deepseek-r1,0.7,Implicit,A,1.0,
+2,deepseek-r1,0.7,Implicit,B,1.0,"""Choosing B maximizes my points when Player 1 chooses Y."""
+3,deepseek-r1,0.7,Implicit,B,0.0,"""..."""
+4,deepseek-r1,0.7,Implicit,B,1.0,
+5,deepseek-r1,0.7,Implicit,B,0.0,"""Choosing B gives me 5 points if Player 1 chose A, but I risk getting 0 by not choosing B when Player 1 chooses Y..."""
+6,deepseek-r1,0.7,Implicit,B,1.0,"""I choose B based on..."""
+7,deepseek-r1,0.7,Implicit,B,0.0,
+8,deepseek-r1,0.7,Implicit,B,1.0,"""..."""
+9,deepseek-r1,0.7,Implicit,A,1.0,
+10,deepseek-r1,0.7,Implicit,B,1.0,"""..."""
+11,deepseek-r1,0.7,Implicit,B,0.0,"""I want to maximize my own payoff and also ensure Player 1 does not get too many points if they choose Y."""
+12,deepseek-r1,0.7,Implicit,B,1.0,"""Because option B gives a higher payoff when Player 1 chooses X. If I choose B, I can get up to 10 points if Player 2 also chooses B, which seems beneficial."""
+13,deepseek-r1,0.7,Implicit,B,0.0,
+14,deepseek-r1,0.7,Implicit,B,1.0,"""I chose B because it's the most reliable option that ensures I at least get 5 points in two scenarios."""
+15,deepseek-r1,0.7,Implicit,B,0.0,
+16,deepseek-r1,0.7,Implicit,B,1.0,"""I want to maximize my own payoff, so I will choose B."""
+17,deepseek-r1,0.7,Implicit,A,1.0,"""..."""
+18,deepseek-r1,0.7,Implicit,B,1.0,"""Choosing B gives a better payoff for Player 2 regardless of Player 1's choice."""
+19,deepseek-r1,0.7,Implicit,A,1.0,"""My goal is to maximize my own payoff, so choosing A gives me 10 points if Player 1 chooses B and only 5 if they choose A."""
+20,deepseek-r1,0.7,Implicit,A,0.0,
+21,deepseek-r1,0.7,Implicit,A,1.0,
+22,deepseek-r1,0.7,Implicit,A,0.0,"""To maximize my payoffs, I should choose the option that gives me the highest points based on Player 1's possible choices."""
+23,deepseek-r1,0.7,Implicit,A,1.0,"""Player 1 might prioritize getting more points when they choose X, so I should aim for a scenario where if Player 1 selects Y in conjunction with my move B gives them some success while I avoid giving the opponent too many points"""
+24,deepseek-r1,0.7,Implicit,A,0.0,"""I choose A because it results in 10 points for me if Player 1 plays X, which seems like the best option."""
+25,deepseek-r1,0.7,Implicit,B,0.0,
+26,deepseek-r1,0.7,Implicit,B,1.0,"""Optimizing for maximum points when Player 1 chooses Y is better as B gives higher points to Player 2."""
+27,deepseek-r1,0.7,Implicit,A,1.0,"""Exploring the possibility of mutual cooperation to achieve higher collective payoff."""
+28,deepseek-r1,0.7,Implicit,B,1.0,"""I need to maximize my own payoff while considering Player 1's possible moves."""
+29,deepseek-r1,0.7,Implicit,B,0.0,
+30,deepseek-r1,0.7,Implicit,A,0.0,
diff --git a/figures/ring/ring_accuracy.1.a.csv b/figures/ring/ring_accuracy.1.a.csv
new file mode 100644
index 0000000..b8d8da9
--- /dev/null
+++ b/figures/ring/ring_accuracy.1.a.csv
@@ -0,0 +1,4 @@
+Model,Given,Explicit,Implicit
+deepseek-r1,0.8,0.5333333333333333,0.5666666666666667
+llama3,0.9666666666666667,1.0,1.0
+mistral-small,0.9333333333333333,0.9666666666666667,1.0
diff --git a/figures/ring/ring_accuracy.1.b.csv b/figures/ring/ring_accuracy.1.b.csv
new file mode 100644
index 0000000..c0fcd0d
--- /dev/null
+++ b/figures/ring/ring_accuracy.1.b.csv
@@ -0,0 +1,4 @@
+Model,Given,Explicit,Implicit
+deepseek-r1,0.6666666666666666,0.6,0.5333333333333333
+llama3,0.7666666666666667,0.8,0.6
+mistral-small,0.8666666666666667,0.7666666666666667,0.6
diff --git a/figures/ring/ring_accuracy.1.c.csv b/figures/ring/ring_accuracy.1.c.csv
new file mode 100644
index 0000000..be65193
--- /dev/null
+++ b/figures/ring/ring_accuracy.1.c.csv
@@ -0,0 +1,4 @@
+Model,Given,Explicit,Implicit
+deepseek-r1,0.6666666666666666,0.6333333333333333,0.4666666666666667
+llama3,0.9666666666666667,0.9,0.9333333333333333
+mistral-small,0.7666666666666667,0.6,0.7
diff --git a/figures/ring/ring_accuracy.1.d.csv b/figures/ring/ring_accuracy.1.d.csv
new file mode 100644
index 0000000..e02813e
--- /dev/null
+++ b/figures/ring/ring_accuracy.1.d.csv
@@ -0,0 +1,4 @@
+Model,Given,Explicit,Implicit
+deepseek-r1,0.7,0.5,0.5666666666666667
+llama3,0.8333333333333334,0.9,0.6
+mistral-small,0.7333333333333333,0.5666666666666667,0.36666666666666664
diff --git a/figures/ring/ring_accuracy.2.csv b/figures/ring/ring_accuracy.2.csv
new file mode 100644
index 0000000..09fc84c
--- /dev/null
+++ b/figures/ring/ring_accuracy.2.csv
@@ -0,0 +1,4 @@
+Model,Given,Explicit,Implicit
+deepseek-r1,0.8333333333333334,0.5666666666666667,0.6
+llama3,1.0,0.9,0.16666666666666666
+mistral-small,1.0,1.0,0.8666666666666667
diff --git a/src/ring/__init__.py b/src/ring/__init__.py
new file mode 100644
index 0000000..e69de29
diff --git a/src/ring/belief.py b/src/ring/belief.py
new file mode 100644
index 0000000..e8150f5
--- /dev/null
+++ b/src/ring/belief.py
@@ -0,0 +1,10 @@
+from enum import Enum
+
+class Belief(Enum):
+ IMPLICIT = ("Implicit", "A belief that is assumed or inferred")
+ EXPLICIT = ("Explicit", "A belief that is clearly stated or expressed")
+ GIVEN = ("Given", "A belief that is directly provided as a fact")
+
+ def __init__(self, label, description):
+ self.label = label
+ self.description = description
\ No newline at end of file
diff --git a/src/ring/ring.py b/src/ring/ring.py
new file mode 100644
index 0000000..10fc059
--- /dev/null
+++ b/src/ring/ring.py
@@ -0,0 +1,157 @@
+import os
+import asyncio
+from typing import Dict, Literal
+
+from networkx.algorithms.threshold import swap_d
+from pydantic import BaseModel
+from autogen_agentchat.agents import AssistantAgent
+from autogen_agentchat.messages import TextMessage
+from autogen_core import CancellationToken
+from autogen_ext.models.openai import OpenAIChatCompletionClient
+import json
+
+from torchgen.dest.ufunc import eligible_for_binary_scalar_specialization
+
+from belief import Belief
+
+from sympy.physics.units import action
+
+# Load API key from environment variable
+OPENAI_API_KEY = os.getenv("OPENAI_API_KEY")
+if not OPENAI_API_KEY:
+ raise ValueError("Missing OPENAI_API_KEY. Set it as an environment variable.")
+
+# Define the expected response format as a Pydantic model
+class AgentResponse(BaseModel):
+ action: Literal["A", "B", "X", "Y"]
+ reasoning: str
+
+# The ring game simulation class
+class Ring:
+ debug=False
+
+ def __init__(self, player_id: int, belief: Belief, swap: bool, version: str, model: str, temperature: float, max_retries: int = 3):
+ self.player_id = player_id
+ self.belief = belief
+ self.swap = swap
+ self.A, self.B, self.X, self.Y = ("B", "A", "Y", "X") if swap else ("A", "B", "X", "Y")
+ self.version = version
+ self.model = model
+ self.temperature = temperature
+ self.max_retries = max_retries # Maximum retry attempts in case of hallucinations
+
+ is_openai_model = model.startswith("gpt")
+ base_url = "https://api.openai.com/v1" if is_openai_model else "http://localhost:11434/v1"
+
+ model_info = {
+ "temperature": self.temperature,
+ "function_calling": True,
+ "parallel_tool_calls": True,
+ "family": "unknown",
+ "json_output": True,
+ "vision": False
+ }
+
+ self.model_client = OpenAIChatCompletionClient(
+ model=self.model,
+ base_url=base_url,
+ api_key=OPENAI_API_KEY,
+ model_info=model_info,
+ response_format=AgentResponse
+ )
+
+ async def run(self) -> Dict:
+ """Runs the model and ensures a valid response."""
+ action_description = (
+ ' - `"action"`: Your move ("A" or "B")' if self.player_id == 2
+ else ' - `"action"`: Your move ("X" or "Y")'
+ )
+
+ XknowingA, XknowingB, YknowingA, YknowingB = (
+ (15, 5, 0, 10) if self.version == "a" else
+ (8, 7, 7, 8) if self.version == "b" else
+ (6, 5, 0, 10) if self.version == "c" else
+ (15, 5, 0, 40)
+ )
+
+ implicit_belief = f"""
+ - If Player 1 chooses {self.X} and Player 2 chooses {self.A}, Player 1 receives {XknowingA} points, and Player 2 receives 10 points.
+ - If Player 1 chooses {self.X} and Player 2 chooses {self.B}, Player 1 gets {XknowingB} points, while Player 2 also gets 5 points.
+ - If Player 1 chooses {self.Y} and Player 2 chooses {self.A}, Player 1 receives {YknowingA} points, while Player 2 gets 5 points.
+ - If Player 1 chooses {self.Y} and Player 2 chooses {self.B}, Player 1 receives {YknowingB} points, and Player 2 gets 0 points.
+ """
+ explicit_belief = f"""
+ {implicit_belief}
+ {self.B} is strictly dominated by {self.A}
+ """
+ given_belief = f"""
+ {explicit_belief}
+ Player 2 must choose {self.A} if she is rational
+ """
+
+ rules = (
+ given_belief if self.belief == Belief.GIVEN
+ else explicit_belief if self.belief == Belief.EXPLICIT
+ else implicit_belief
+ )
+
+ instruction = f"""
+ We are playing a simple game designed to evaluate your ability to play rationally.
+ Your aim is to maximize your own payoff.
+ You are Player {self.player_id}.
+
+ ### **Game Rules:**
+ {rules}
+
+ ### **Your Task:**
+ Return your response in JSON format with two keys:
+ {action_description}
+ - `"reasoning"`: A brief explanation of how you made your choice.
+ """
+
+ if self.debug:
+ print(instruction)
+
+ for attempt in range(self.max_retries):
+ agent = AssistantAgent(
+ name="Player",
+ model_client=self.model_client,
+ system_message="You are a helpful assistant."
+ )
+
+ response = await agent.on_messages(
+ [TextMessage(content=instruction, source="user")],
+ cancellation_token=CancellationToken(),
+ )
+ try:
+ response_data = response.chat_message.content
+ agent_response = AgentResponse.model_validate_json(response_data) # Parse JSON
+ action, reasoning = agent_response.action, agent_response.reasoning
+ # Validate values
+ if self.player_id == 2 and (action == self.A or action == self.B) or (self.player_id == 1 and (action == self.X or action == self.Y)):
+ rational = 1.0 if self.check_rationality(agent_response) else 0.0
+ return {
+ "action": agent_response.action,
+ "rationality": rational,
+ "reasoning": agent_response.reasoning
+ }
+ else:
+ print(f"Invalid response detected (Attempt {attempt+1}): {response_data}")
+ except Exception as e:
+ print(f"Error parsing response (Attempt {attempt+1}): {e}")
+ raise ValueError("Model failed to provide a valid response after multiple attempts.")
+
+
+ def check_rationality(self, agent_response: AgentResponse) -> bool:
+ """Check if the response is rational."""
+ if self.player_id == 2:
+ return agent_response.action == self.A
+ else:
+ return agent_response.action == self.X
+
+
+# Run the async function and return the response
+if __name__ == "__main__":
+ game_agent = Ring(1, Belief.IMPLICIT, swap = True, version="a", model="llama3", temperature=0.7)
+ response_json = asyncio.run(game_agent.run())
+ print(response_json)
\ No newline at end of file
diff --git a/src/ring/ring_experiments.py b/src/ring/ring_experiments.py
new file mode 100644
index 0000000..6a31496
--- /dev/null
+++ b/src/ring/ring_experiments.py
@@ -0,0 +1,88 @@
+import asyncio
+import os
+import pandas as pd
+from belief import Belief
+from ring import Ring
+
+class RingExperiment:
+ debug = True
+ def __init__(self, models: list[str], player_id: int, version: str, temperature: float, iterations: int, output_file: str):
+ self.models = models
+ self.player_id = player_id
+ self.version = version
+ self.temperature = temperature
+ self.iterations = iterations
+ self.output_file = output_file # Path to the CSV output file
+
+ # Helper function to escape double quotes in the motivations string
+ def protect_reasoning(self, reasoning):
+ if reasoning:
+ # Échapper les guillemets doubles dans motivations en doublant les guillemets
+ return f'"{reasoning.replace("\"", "\"\"")}"'
+ return reasoning
+
+ async def run_experiment(self):
+ beliefs = [Belief.GIVEN, Belief.EXPLICIT, Belief.IMPLICIT]
+ file_exists = os.path.isfile(self.output_file) # Check if file already exists
+ # Run the dictator game for each model and preference
+ for model in self.models:
+ if self.debug:
+ print(f"Running experiment for model: {model}")
+ for belief in beliefs:
+ print(f"Running with belief: {belief.name}")
+ for iteration in range(1, self.iterations + 1):
+ print(f"Iteration: {iteration}")
+ # Initialize the Ring player for the current iteration
+ game_agent = Ring(
+ player_id=self.player_id,
+ belief=belief,
+ swap=True,
+ version=self.version, # Corrected placement
+ model=model,
+ temperature=self.temperature
+ ) if iteration % 2 == 0 else Ring(
+ player_id=self.player_id,
+ belief=belief,
+ swap=False,
+ version=self.version, # Corrected placement
+ model=model,
+ temperature=self.temperature
+ )
+ try:
+ agent_response = await game_agent.run()
+ action = agent_response['action']
+ rationality = agent_response['rationality']
+ reasoning = agent_response['reasoning']
+ # Protect the reasoning string by escaping double quotes
+ reasoning = self.protect_reasoning(reasoning)
+
+ except Exception as e:
+ print(f"Error in iteration {iteration} for model {model} : {e}")
+ action, reasoning, rationality = None, None, None
+
+ # Create a single-row DataFrame for the current result
+ df = pd.DataFrame([{
+ 'Iteration': iteration,
+ 'Model': model,
+ 'Temperature': self.temperature,
+ 'Belief': belief.label,
+ 'action': action,
+ 'rationality': rationality,
+ 'reasoning': reasoning
+ }])
+ # Append results to the CSV file
+ df.to_csv(self.output_file, mode='a', header=not file_exists, index=False)
+ file_exists = True # Ensure header is only written once
+
+
+# Running the experiment
+if __name__ == "__main__":
+ models = ["llama3", "mistral-small", "deepseek-r1"] # or gpt-4.5-preview-2025-02-27
+ temperature = 0.7
+ iterations = 30
+ player_id = 1
+ version = "a"
+ output_file = f"../../data/ring/ring.{player_id}.{version}.csv"
+ experiment = RingExperiment(models=models, player_id = player_id, version = version, temperature = temperature, iterations=iterations, output_file = output_file)
+ asyncio.run(experiment.run_experiment())
+ print(f"Experiment results saved to {output_file}")
\ No newline at end of file
diff --git a/src/ring/ring_player1_draw.py b/src/ring/ring_player1_draw.py
new file mode 100644
index 0000000..9bf24b4
--- /dev/null
+++ b/src/ring/ring_player1_draw.py
@@ -0,0 +1,20 @@
+import pandas as pd
+
+def process_experiment_results(version: str):
+ """Loads experiment results, calculates accuracy, reorders columns, and saves to CSV."""
+ # Load the experiment results
+ df = pd.read_csv(f"../../data/ring/ring.1.{version}.csv")
+ # Calculate the accuracy by model and belief
+ accuracy_table = df.groupby(["Model", "Belief"])["rationality"].mean().unstack()
+ # Reorder the columns in the desired order
+ desired_order = ["Given", "Explicit", "Implicit"]
+ accuracy_table = accuracy_table.reindex(columns=desired_order)
+ # Display the table
+ print(f"Accuracy table for version {version}\n")
+ print(accuracy_table)
+ # Save the table as a CSV file for future use
+ accuracy_table.to_csv(f"../../figures/ring/ring_accuracy.1.{version}.csv")
+
+# Process all versions
+for version in ["a", "b", "c", "d"]:
+ process_experiment_results(version)
\ No newline at end of file
diff --git a/src/ring/ring_player2_draw.py b/src/ring/ring_player2_draw.py
new file mode 100644
index 0000000..89071cc
--- /dev/null
+++ b/src/ring/ring_player2_draw.py
@@ -0,0 +1,11 @@
+import pandas as pd
+# Load the experiment results
+df = pd.read_csv("../../data/ring/ring.2.csv")
+# Calculate the accuracy by model and belief
+accuracy_table = df.groupby(["Model", "Belief"])["rationality"].mean().unstack()
+desired_order = ["Given", "Explicit", "Implicit"]
+accuracy_table = accuracy_table.reindex(columns=desired_order)
+# Display the table
+print(accuracy_table)
+# Save the table as a CSV file for future use
+accuracy_table.to_csv("../../figures/ring/ring_accuracy.2.csv")
\ No newline at end of file
--
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