From d5d9cec4378253e9002aae13ed442ad81375d39b Mon Sep 17 00:00:00 2001
From: mmorge <maxime.morge@univ-lyon1.fr>
Date: Fri, 2 May 2025 15:57:07 +0200
Subject: [PATCH] PyGAAMAS: Add Qwen3 for strategic reasoning
---
README.md | 66 ++++++++--------
data/ring/ring.1.a.False.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.a.True.csv | 97 ++++++++++++++++++++++++
data/ring/ring.1.b.False.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.b.True.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.c.False.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.c.True.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.d.False.csv | 90 ++++++++++++++++++++++
data/ring/ring.1.d.True.csv | 90 ++++++++++++++++++++++
data/ring/ring.2.a.False.csv | 90 ++++++++++++++++++++++
figures/ring/ring_accuracy.1.a.True.csv | 1 +
figures/ring/ring_accuracy.1.b.True.csv | 1 +
figures/ring/ring_accuracy.1.b.false.csv | 1 +
figures/ring/ring_accuracy.1.c.True.csv | 1 +
figures/ring/ring_accuracy.1.c.false.csv | 1 +
figures/ring/ring_accuracy.1.d.True.csv | 1 +
figures/ring/ring_accuracy.1.d.false.csv | 1 +
figures/ring/ring_accuracy.2.a.false.csv | 1 +
figures/ring/ring_accuracy.2.csv | 4 -
src/ring/ring.py | 9 ++-
src/ring/ring_experiments.py | 4 +-
src/ring/ring_player2_draw.py | 4 +-
22 files changed, 871 insertions(+), 41 deletions(-)
delete mode 100644 figures/ring/ring_accuracy.2.csv
diff --git a/README.md b/README.md
index 2592757..0d5bb89 100644
--- a/README.md
+++ b/README.md
@@ -220,32 +220,34 @@ We first evaluate the rationality of the agents and then their second-order rati
Table below evaluates the models’ ability to generate rational
behaviour for Player 2.
-| **Model** | **Generation** | **Given** | **Explicit** | **Implicit** |
-|-------------------|--------------|-----------|--------------|--------------|
-| <tt>gpt-4.5</tt> | strategy | 1.00 | 1.00 | 1.00 |
-| <tt>mixtral:8x7b</tt> | strategy | 1.00 | 1.00 | 1.00 |
-| <tt>mistral-small</tt> | strategy | 1.00 | 1.00 | 1.00 |
+| **Model** | **Generation** | **Given** | **Explicit** | **Implicit** |
+|--------------------------|--------------|-----------|--------------|--------------|
+| <tt>gpt-4.5</tt> | strategy | 1.00 | 1.00 | 1.00 |
+| <tt>mixtral:8x7b</tt> | strategy | 1.00 | 1.00 | 1.00 |
+| <tt>mistral-small</tt> | strategy | 1.00 | 1.00 | 1.00 |
| <tt>llama3.3:latest</tt> | strategy | 1.00 | 1.00 | 0.50 |
-| <tt>llama3</tt> | strategy | 0.50 | 0.50 | 0.50 |
-| <tt>deepseek-r1:7b</tt> | strategy | - | - | - |
-| <tt>deepseek-r1</tt> | strategy | - | - | - |
-| **—** | **—** | **—** | **—** | **—** |
-| <tt>gpt-4.5</tt> | actions | 1.00 | 1.00 | 1.00 |
-| <tt>mixtral:8x7b</tt> | actions | 1.00 | 1.00 | 1.00 |
-| <tt>mistral-small</tt> | actions | 1.00 | 1.00 | 0.87 |
-| <tt>llama33:latest</tt> | actions | 1.00 | 1.00 | 1.00 |
-| <tt>llama3.3</tt> | actions | 1.00 | 0.90 | 0.17 |
-| <tt>deepseek-r1:7b</tt> | actions | 1.00 | 1.00 | 1.00 |
-| <tt>deepseek-r1</tt> | actions | 0.83 | 0.57 | 0.60 |
+| <tt>llama3</tt> | strategy | 0.50 | 0.50 | 0.50 |
+| <tt>deepseek-r1:7b</tt> | strategy | - | - | - |
+| <tt>deepseek-r1</tt> | strategy | - | - | - |
+| <tt>qwen3</tt> | strategy | 0.00 | 0.00 | 0.00 |
+| **—** | **—** | **—** | **—** | **—** |
+| <tt>gpt-4.5</tt> | actions | 1.00 | 1.00 | 1.00 |
+| <tt>mixtral:8x7b</tt> | actions | 1.00 | 1.00 | 1.00 |
+| <tt>mistral-small</tt> | actions | 1.00 | 1.00 | 0.87 |
+| <tt>llama33:latest</tt> | actions | 1.00 | 1.00 | 1.00 |
+| <tt>llama3.3</tt> | actions | 1.00 | 0.90 | 0.17 |
+| <tt>deepseek-r1:7b</tt> | actions | 1.00 | 1.00 | 1.00 |
+| <tt>deepseek-r1</tt> | actions | 0.83 | 0.57 | 0.60 |
+| <tt>qwen3</tt> | actions | 1.00 | 0.93 | 0.50 |
When generating strategies, <tt>GPT-4.5</tt>, <tt>Mixtral-8x7B</tt>, and <tt>Mistral-Small</tt>
-exhibit rational behavior, whereas <tt>Llama3</tt> adopts a random rationality.
+exhibit rational behavior, whereas <tt>Llama3</tt> adopts a random rationality and <tt>Qwen3</tt> is irational.
<tt>Llama3.3:latest</tt> has the same behaviour with implicit beliefs.
<tt>Deepseek-R1:7b</tt> and <tt>DeepSeek-R1</tt> fails to generate valid strategies.
When generating actions, <tt>GPT-4.5</tt>, <tt>Mixtral-8x7B</tt>, <tt>DeepSeek-R1:7b</tt>,
and <tt>Llama3.3:latest<</tt> demonstrate strong rational decision-making, even with implicit beliefs.
-<tt>Mistral-Small</tt> performs well but slightly lags in handling implicit reasoning.
+<tt>Mistral-Small</tt> and <tt>Qwen3</tt> performs well but lags in handling implicit reasoning.
<tt>Llama3</tt> struggles with implicit reasoning, while <tt>DeepSeek-R1</tt>
shows inconsistent performance.
Overall, <tt>GPT-4.5</tt> and <tt>Mixtral-8x7B</tt> are the most reliable models for generating rational behavior.
@@ -293,19 +295,23 @@ except (b), where it fails to distinguish the optimal action from a nearly optim
showing no strong pattern of rational behavior. In contrast, <tt>Mistral-Small</tt> and <tt>Mixtral-8x7B</tt>
demonstrate strong capabilities across all conditions, consistently generating second-order rational behavior.
<tt>Llama3.3:latest</tt> performs well with given and explicit beliefs but struggles with implicit beliefs.
-<tt>DeepSeek-R1</tt> does not produce valid responses in strategy generation.
+<tt>Qwen3</tt> generate irrational strategies. <tt>DeepSeek-R1</tt> does not produce valid responses in strategy generation.
When generating actions, Llama3.3:latest adapts well to different types of beliefs and adjustments in the payoff matrix
-but struggles with implicit beliefs, particularly in configuration (d). <tt>GPT-4.5</tt> performs well in the initial
+ but struggles with implicit beliefs, particularly in configuration (d). <tt>GPT-4.5</tt> performs well in the initial
configuration (a) but encounters significant difficulties when the payoff structure changes in (b), (c), and (d),
especially with implicit beliefs. <tt>Mixtral-8x7B</tt> generally performs well but shows reduced accuracy for implicit beliefs
in configurations (b) and (d). <tt>Mistral-Small</tt> performs well with given or explicit beliefs but struggles with
implicit beliefs, particularly in configuration (d). <tt>DeepSeek-R1:7b</tt>, in contrast to its smallest version,
performs well across most belief structures but exhibits a slight decline in implicit beliefs, especially in (d).
Meanwhile, DeepSeek-R1 struggles with lower accuracy overall, particularly for implicit beliefs.
+<tt>Qwen3</tt> performs robustly across most belief types, especially in configurations (a) and (b), maintaining
+strong scores on both explicit and implicit conditions. However, like other models, it experiences a noticeable
+drop in accuracy under implicit beliefs in configuration (d), suggesting sensitivity to deeper inferential reasoning.
+
It is worth noticing that CR is not universally beneficial: while it notably improves reasoning in smaller models
-(like <tt>Mistral-Small</tt> and <tt>Deepseek-R1</tt>), especially under implicit and explicit conditions,
+(like <tt>Mistral-Small</tt>, <tt>Deepseek-R1</tt> and <tt>Qwen3</tt>), especially under implicit and explicit conditions,
it often harms performance in larger models (e.g., <tt>LLama3.3</tt>, <tt>Mixtral:8x7b</tt>),
where CR can introduce unnecessary complexity. Most gains from CR occur in ambiguous, implicit scenarios, suggesting
its strength lies in helping models infer missing or indirect information. Thus, CR should be applied selectively —
@@ -322,6 +328,7 @@ particularly in less confident or under-specified contexts.
| **mistral-small** | strategy | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
| **deepseek-r1:7b** | strategy | - | - | - | - | - | - | - | - | - | - | - | - |
| **deepseek-r1** | strategy | - | - | - | - | - | - | - | - | - | - | - | - |
+| **qwen3** | strategy | - | - | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 | 0.00 |
| **gpt-4.5** | actions | 1.00 | 1.00 | 1.00 | 1.00 | 0.67 | 0.00 | 0.86 | 0.83 | 0.00 | 0.50 | 0.90 | 0.00 |
| | actions + CR | TODO | TODO | TODO | TODO | TODO | TODO | TODO | TODO | TODO | TODO | TODO | TODO |
| **llama3.3:latest** | actions | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 | 0.50 | 1.00 | 1.00 | 0.20 | 1.00 | 1.00 | 0.00 |
@@ -336,9 +343,8 @@ particularly in less confident or under-specified contexts.
| | actions + CR | 1.00 | **1.00** | 1.00 | 1.00 | 1.00 | **1.00** | *0.90* | 1.00 | **1.00** | **1.00** | 1.00 | **1.00** |
| **deepseek-r1** | actions | 0.80 | 0.53 | 0.56 | 0.67 | 0.60 | 0.53 | 0.67 | 0.63 | 0.47 | 0.70 | 0.50 | 0.57 |
| | actions + CR | 0.80 | **0.63** | **0.60** | 0.67 | **0.63** | **0.70** | 0.67 | **0.70** | **0.50** | *0.63* | **0.76** | **0.70** |
-
-
-
+| **qwen3** | actions | 1.00 | 1.00 | 1.00 | 0.90 | 0.96 | 1.00 | 1.00 | 0.96 | 0.70 | 1.00 | 0.96 | 0.46 |
+| | actions + CR | 1.00 | 1.00 | 1.00 | **1.00** | **1.00** | 1.00 | *0.96* | **1.00** | **1.00** | *0.96* | 0.96 | **0.83** |
Irrational decisions are explained by inference errors based on the natural
language description of the payoff matrix. For example, in variant (d), the
@@ -347,14 +353,6 @@ follows: "Since player 2 is rational and A strictly dominates B, player 2 will
choose A. Given this, if I choose X, I get fewer points (15) than if I choose Y
(40). Therefore, choosing Y maximizes my gain."
-In summary, the results indicate that GPT-4.5 and
-Mistral-Small generally adopt first- and second-order rational
-behaviours. However, GPT-4.5 struggles to distinguish an optimal action
-from a nearly optimal one, while Mistral-Small encounters difficulties
-with implicit beliefs. Llama3 generates strategies randomly but adapts
-better when producing specific actions. In contrast, DeepSeek-R1 fails
-to provide valid strategies and generates irrational actions.
-
In summary, <tt>Mixtral-8x7B</tt> and <tt>GPT-4.5</tt> demonstrate the strongest performance in both first- and
second-order rationality, though <tt>GPT-4.5</tt> struggles with near-optimal decisions and <tt>Mixtral-8x7B</tt> has
reduced accuracy with implicit beliefs. <tt>Mistral-Small</tt> also performs well but faces difficulties with
@@ -363,6 +361,10 @@ given beliefs but struggles significantly with implicit beliefs, limiting its ef
decision-making. <tt>DeepSeek-R1:7b</tt> shows strong first-order rationality but its performance declines with
implicit beliefs, especially in second-order rationality tasks. In contrast, <tt>DeepSeek-R1</tt> and Llama3 exhibit
inconsistent and often irrational decision-making, failing to generate valid strategies in many cases.
+Qwen3 struggles to generate valid strategies, reflecting limited high-level planning. However, it shows strong
+first-order rationality when producing actions, especially under explicit or guided conditions,
+and benefits from conditional reasoning. Its performance declines with implicit beliefs, highlighting limitations
+in deeper inference.
## Beliefs
diff --git a/data/ring/ring.1.a.False.csv b/data/ring/ring.1.a.False.csv
index 2dabfbc..abfdc9d 100644
--- a/data/ring/ring.1.a.False.csv
+++ b/data/ring/ring.1.a.False.csv
@@ -629,3 +629,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
28,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As a rational player, I want to maximize my points. If Player 2 chooses B, I get 15 points with Y and only 0 with X; if Player 2 chooses A, I get 5 points with Y and also 5 with X. Therefore, regardless of Player 2's choice, I stand to gain at least as many or more points with Y than with X."""
29,mixtral:8x7b,0.7,False,Implicit,X,1.0,"""The best option for Player 1 is to choose 'X' because it offers the highest potential payoff of 15 points when Player 2 chooses 'A'. While choosing 'Y' would give a guaranteed 10 points if Player 2 chooses 'B', it risks receiving no points if Player 2 chooses 'A'. By selecting 'X', Player 1 maximizes their expected value, even though the outcome depends on Player 2's decision."""
30,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As a rational player, I would choose 'Y' to maximize my potential payoff. If Player 2 chooses 'B', I receive 15 points; if Player 2 chooses 'A', I still get 5 points, which is greater than the possible payoffs of choosing 'X'."""
+1,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it's rational for her), choosing X gives me 15 points, which is higher than choosing Y which would give me 0 points when Player 2 chooses A."""
+2,qwen3,0.7,False,Given,Y,1.0,"""If Player 2 chooses B (as she is rational), then choosing Y gives me 15 points. Choosing X would result in 0 points, so Y is the dominant choice."""
+3,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff (15 points) compared to Y (0 points)."""
+4,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y gives me 15 points, which is higher than choosing X which would give me 0 points if Player 2 chooses B."""
+5,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y (0 points)."""
+6,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 will choose B due to it being strictly dominant, choosing Y would result in a higher payoff for me compared to choosing X."""
+7,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X will result in 15 points for me, which is higher than choosing Y which would result in 0 points."""
+8,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y will result in Player 1 getting 15 points, which is higher than the 10 points from choosing X when Player 2 chooses B."""
+9,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), choosing X will result in 15 points for me, which is higher than choosing Y which would give me 0 points if Player 2 chooses A."""
+10,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y will result in me getting 15 points, which is higher than choosing X which would result in 0 points."""
+11,qwen3,0.7,False,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing X gives me 15 points if Player 2 chooses A, which is the rational choice. Choosing Y would result in 0 points if Player 2 chooses A, so X is the better choice."""
+12,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y will result in 15 points for me, which is the highest possible payoff."""
+13,qwen3,0.7,False,Given,X,1.0,"""Player 2 is rational and will choose A. If I choose X, I get 15 points. If I choose Y, I get 0 points. Therefore, choosing X gives a higher payoff."""
+14,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and chooses B, choosing Y will result in 15 points for me, which is higher than choosing X which would give me 0 points."""
+15,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X gives Player 1 15 points, which is higher than choosing Y which would result in 0 points."""
+16,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y maximizes my payoff. If I choose Y, I get 15 points when Player 2 selects B, which is the highest possible payoff for me."""
+17,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y (0 points)."""
+18,qwen3,0.7,False,Given,Y,1.0,"""If Player 2 is rational and chooses B, then choosing Y gives me 15 points, which is higher than choosing X which would give me 0 points. Therefore, I should choose Y to maximize my payoff."""
+19,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y (0 points)."""
+20,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 must choose B if she is rational, choosing Y would result in getting 15 points, which is higher than choosing X which would result in 0 points."""
+21,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X leads to a higher payoff for me (15 points) compared to choosing Y, which gives 0 points when Player 2 chooses A."""
+22,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X (0 points)."""
+23,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant for her), if I choose X, I get 15 points. If I choose Y, I get 0 points. Therefore, I should choose X to maximize my payoff."""
+24,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, selecting Y will result in 15 points for me, which is the highest possible payoff."""
+25,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y (0 points)."""
+26,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, selecting Y leads to a higher payoff (15 points) compared to choosing X, which would result in 0 points."""
+27,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y (0 points)."""
+28,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y would give me 15 points, which is higher than choosing X which would give me 0 points."""
+29,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X maximizes my payoff. If I choose X and Player 2 chooses A, I get 15 points, which is higher than the 10 points I would get if I chose Y and Player 2 chooses A."""
+30,qwen3,0.7,False,Given,Y,1.0,"""Player 2 is rational and will choose B. If I choose Y, I get 15 points. If I choose X, I get 0 points. Therefore, choosing Y maximizes my payoff."""
+1,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives Player 1 the highest payoff of 15 points, which is better than choosing Y which would result in 0 points."""
+2,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, if Player 2 chooses B, Player 1 should choose Y to maximize payoff. However, if Player 2 chooses A, choosing Y gives Player 1 5 points versus 10 points for X. But since A is strictly dominated by B, Player 2 will choose B, so Player 1 should choose Y to get 15 points."""
+3,qwen3,0.7,False,Explicit,X,1.0,"""Since Player 2 will choose A (as B is strictly dominated by A), choosing X gives Player 1 a higher payoff (15 points) compared to Y which would give 0 points."""
+4,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is better than choosing X and getting 0 points."""
+5,qwen3,0.7,False,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 get 5 points. Choosing Y would mean getting 0 if Player 2 chooses A and 10 if Player 2 chooses B. Since I want to maximize my own payoff, I should choose X."""
+6,qwen3,0.7,False,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 they choose A, I get 5 points. In contrast, choosing X gives me 10 points if Player 2 chooses A and 0 points if they choose B. Since A is strictly dominated by B, I should choose Y to maximize my minimum payoff."""
+7,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A regardless of Player 1's action. Choosing X results in a higher payoff (15 points) compared to Y (0 points) when Player 2 selects A. Therefore, Player 1 should choose X to maximize payoff."""
+8,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, choosing Y when Player 2 selects B gives the highest payoff for Player 1 (15 points). Even if Player 2 chooses A, Y results in 5 points, which is better than X's 10 points if Player 2 chooses A. Therefore, Y is the optimal choice."""
+9,qwen3,0.7,False,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 they choose B, I get 5 points. Choosing Y would result in either 0 or 10 points, which is worse than X's minimum of 5."""
+10,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is the highest possible payoff."""
+11,qwen3,0.7,False,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 they choose B, I get 5 points. Choosing Y would only give me 0 or 10 points, which is worse than X."""
+12,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is the highest possible payoff for me."""
+13,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives me 15 points, which is higher than choosing Y which would give me 0 points. Therefore, I choose X to maximize my payoff."""
+14,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is higher than choosing X (which would give me 0 points). Therefore, I choose Y to maximize my payoff."""
+15,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, we can assume Player 2 will choose A. Choosing X gives a higher payoff (15) compared to Y (0) if Player 2 chooses A."""
+16,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y is better because it gives a higher payoff regardless of Player 2's choice."""
+17,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff when Player 2 chooses A."""
+18,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is the highest possible payoff for me."""
+19,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, choosing X leads to a higher payoff (15 points) compared to Y (0 points) when Player 2 picks A."""
+20,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choices are A and B. Choosing Y leads to higher payoff than X regardless of Player 2's choice. If Player 2 chooses A, Y gives 5 points, and X gives 10 points. If Player 2 chooses B, Y gives 15 points, and X gives 0 points. Since choosing Y results in higher payoff than X in both scenarios, Y is the optimal choice."""
+21,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff when Player 2 chooses A, which gives me 15 points."""
+22,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B gives me higher payoff (15) than A (5). Since B is strictly dominated by A, I should choose Y to maximize my points."""
+23,qwen3,0.7,False,Explicit,X,1.0,"""Since Player 1's payoff for choosing X is higher than choosing Y regardless of Player 2's action, X is the optimal choice."""
+24,qwen3,0.7,False,Explicit,Y,1.0,"""I choose Y because it provides a higher payoff than X regardless of Player 2's action."""
+25,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff, as choosing X when Player 2 chooses A gives me 15 points, which is higher than choosing Y which would give me 0 points."""
+26,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is the highest possible payoff."""
+27,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff, which is 15 points."""
+28,qwen3,0.7,False,Explicit,Y,1.0,"""Player 1 should choose Y because it leads to a higher payoff in both scenarios compared to X. If Player 2 chooses B, Y gives 15 vs. X's 0. If Player 2 chooses A, Y gives 5 vs. X's 10. Wait, that seems conflicting. Actually, since A is strictly dominated by B, Player 2 will choose B. Therefore, Player 1 should choose Y to maximize payoff at 15 points."""
+29,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff (15 points) instead of Y (0 points)."""
+30,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives Player 1 15 points, which is the highest possible payoff."""
+1,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff if I expect Player 2 to choose A, which gives me 15 points. If Player 2 chooses B, I get 5 points. Since choosing Y only gives me 0 or 10 points, X is better overall."""
+2,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Choosing X would give me 0 or 10 points, which is less than the minimum of Y's outcomes."""
+3,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points. If they choose B, I get 5 points. Choosing Y gives me 0 or 10 points, which is worse than X in both scenarios."""
+4,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff when considering potential responses from Player 2. If Player 2 chooses B, I get 15 points, which is the highest possible payoff. Even if Player 2 chooses A, I get 5 points, which is better than the 10 points if I choose X and Player 2 chooses A. Additionally, if Player 2 chooses A, I still get 5 points, which is better than the 0 points if I choose X and Player 2 chooses B. Therefore, choosing Y is the optimal strategy to maximize my own payoff."""
+5,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X gives me higher points in both scenarios compared to Y. If Player 2 chooses A, I get 15 points; if Player 2 chooses B, I get 5 points. Choosing Y would result in 0 or 10 points, which is less optimal."""
+6,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Choosing Y gives me a higher payoff in both scenarios compared to choosing X."""
+7,qwen3,0.7,False,Implicit,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 get 5 points. Choosing Y would give me 0 points if Player 2 chooses A and 10 points if they choose B. Since 15 is higher than 10, X is the better choice."""
+8,qwen3,0.7,False,Implicit,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 5 points, which is better than choosing X and getting 10 points only if Player 2 chooses A. Wait, actually, if I choose Y and Player 2 chooses A, I get 5 points, while if I choose X and Player 2 chooses A, I get 10 points. So choosing Y is not always better. Let me reevaluate."""
+9,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my own payoff based on the given payoffs. If Player 1 chooses X, they receive either 15 or 5 points. Choosing X guarantees a higher payoff compared to Y, which can result in 0 or 10 points. Since Player 2's choice is unknown, I should assume they will choose the option that gives me the maximum payoff. However, if Player 2 is rational, they might also consider their own payoff. But since I am trying to maximize my own payoff, the best strategy is to choose X."""
+10,qwen3,0.7,False,Implicit,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 5 points. Choosing X would result in 10 points if Player 2 chooses A, but 0 points if Player 2 chooses B. Since 15 is higher than 10 and 5, Y is the optimal choice."""
+11,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Choosing Y would result in 0 points if Player 2 chooses A and 10 points if they choose B. Since 15 is higher than 10, X is the better choice."""
+12,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y gives me a higher payoff if Player 2 chooses B, which is the best outcome for maximizing my points. Since Player 2's choice is unknown, I assume they might choose B to maximize my points."""
+13,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my potential payoff, as it offers higher rewards if Player 2 chooses A (15 points) and results in a tie with Player 2 if they choose B (5 points)."""
+14,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my potential payoff. If Player 2 chooses B, I get 15 points, which is the highest possible reward. Even if Player 2 chooses A, I still get 5 points, which is better than the alternative choices."""
+15,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my potential payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points, which is higher than the 10 points if Player 2 chooses B. If Player 2 chooses B, I get 5 points, which is better than the 0 points if Player 2 chooses A. However, the maximum possible payoff for me is 15 points."""
+16,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y gives higher payoff if Player 2 chooses B, which is the best outcome for maximizing points."""
+17,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher points than Y regardless of Player 2's choice. If Player 2 chooses A, Player 1 gets 15 points. If Player 2 chooses B, Player 1 gets 5 points. Choosing Y results in 0 points if Player 2 chooses A and 10 points if Player 2 chooses B. Since 15 and 5 are higher than 0 and 10, X is the better choice."""
+18,qwen3,0.7,False,Implicit,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 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but 0 points if Player 2 chooses B. Since the highest payoff for Y is 15, which is higher than the maximum for X (10), I should choose Y."""
+19,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my potential payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points, and if they choose B, I get 5 points. Choosing Y would give me 0 points if Player 2 chooses A and 10 points if they choose B. Since 15 > 10 and 5 > 0, X offers higher rewards in both scenarios."""
+20,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my own payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points, and if they choose A, I get 5 points. Choosing X could result in 10 points if Player 2 chooses A, but only 0 points if they choose B. Since Y provides a higher minimum payoff (5 vs 0) and potential for higher gains (15 vs 10), Y is the optimal choice."""
+21,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my potential payoff. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Choosing Y risks getting 0 points if Player 2 chooses A, which is worse than the minimum payoff of X. Therefore, X is the safer and more optimal choice."""
+22,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y allows me to maximize my own payoff by considering the potential responses of Player 2. If I choose Y and Player 2 chooses B, I get 15 points, which is higher than any other combination. If Player 2 chooses A, I get 5 points, which is still better than choosing X and getting either 10 or 0 points. Therefore, selecting Y is the optimal choice to maximize my own points."""
+23,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my potential payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Choosing Y would result in either 0 or 10 points, which is less optimal."""
+24,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but 0 points if they choose B. Since I don't know Player 2's choice, Y provides a better worst-case scenario."""
+25,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my own payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points. If they choose B, I get 5 points. Choosing Y would only give me 0 or 10 points, which is less than the minimum of X's outcomes."""
+26,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points, and if they choose A, I get 5 points. Choosing X would give me 10 points if Player 2 chooses A but 0 if they choose B. Since Y guarantees at least 5 points and X risks 0, I should choose Y."""
+27,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Choosing Y would give me 0 points if Player 2 chooses A, which is worse than the minimum payoff of X. Therefore, X is the dominant strategy."""
+28,qwen3,0.7,False,Implicit,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 5 points. Choosing X would give me 10 points if Player 2 chooses A, but 0 points if Player 2 chooses B. Since I don't know Player 2's choice, I should choose Y to maximize the minimum payoff, which is 5 points compared to 0 points for X."""
+29,qwen3,0.7,False,Implicit,X,1.0,"""If I choose X, the minimum payoff I can get is 5 points (if Player 2 chooses B), while if I choose Y, the minimum payoff I can get is 0 points (if Player 2 chooses A). Therefore, choosing X is better as it guarantees a higher minimum payoff."""
+30,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my potential payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points; if they choose A, I get 5 points. Choosing X would give me 10 points if Player 2 chooses A, but 0 if they choose B. Since Y guarantees at least 5 points and could be 15, it is the safer and more optimal choice."""
diff --git a/data/ring/ring.1.a.True.csv b/data/ring/ring.1.a.True.csv
index 42ca10c..97405a5 100644
--- a/data/ring/ring.1.a.True.csv
+++ b/data/ring/ring.1.a.True.csv
@@ -630,3 +630,100 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
8,mixtral:8x7b,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can either choose B or A. If Player 2 chooses B, they will get 10 points and I will get 8 points. If Player 2 chooses A, they will get 5 points and I will get 7 points. Clearly, Player 2 has a greater incentive to choose B when I choose Y, as it gives them more points. Therefore, my choice of Y leads to the optimal choice for Player 2 being B."""
9,mixtral:8x7b,0.7,True,Implicit,,,
10,mixtral:8x7b,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can either choose B or A. If Player 2 chooses B, they get 10 points and I get 8 points. If Player 2 chooses A, they get 5 points and I get 7 points. To maximize their reward, Player 2 would choose B, but even if they choose A, I still get a higher payoff with Y than with X."""
+1,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant. Choosing A gives Player 2 a higher payoff than B regardless of Player 1's action. Therefore, Player 2 will choose A, which gives me 15 points."""
+2,qwen3,0.7,True,Given,Y,1.0,"""Player 2 must choose B since B strictly dominates A. Therefore, if I choose Y, Player 2 will choose B, giving me 15 points. This is the highest payoff for me."""
+3,qwen3,0.7,True,Given,X,1.0,"""Player 2's best response to X is A, as A gives them higher payoff than B (10 vs 5). Since Player 2 will choose A, choosing X leads to a higher payoff for me (15) compared to Y, which would result in 0 if Player 2 chooses A. Hence, I choose X."""
+4,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B as it is strictly dominant. Choosing B maximizes their reward regardless of Player 1's action, so Player 2 will pick B over A. Choosing Y for Player 1 gives them 15 points if Player 2 chooses B, which is better than choosing X which would result in 0 points if Player 2 chooses B."""
+5,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A since it is strictly dominant. This gives me 15 points, which is higher than choosing B which would give me 5 points. Choosing X maximizes my payoff as Player 2 will act rationally and select A."""
+6,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B as it is strictly dominant for them. This gives me 15 points, which is higher than the 5 points I would get if Player 2 chose A. Therefore, choosing Y maximizes my payoff."""
+7,qwen3,0.7,True,Given,X,1.0,"""Since Player 2 will choose A, which maximizes their reward. Player 1's choice of X leads to a higher payoff for themselves (15 points) compared to choosing Y (0 points)."""
+8,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B because it's strictly dominant. If I choose Y, Player 2 gets 10 points by choosing B, which is higher than choosing A (5 points). Therefore, Player 2 will choose B, giving me 15 points."""
+9,qwen3,0.7,True,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X gives me 15 points. Choosing Y would result in a guaranteed 10 points if Player 2 chooses B, but B is strictly dominated by A, so Player 2 will choose A. Therefore, X gives me more points than Y."""
+10,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B because A is strictly dominated by B. Choosing B always gives Player 2 a better or equal reward compared to A, so they will pick B to maximize their payoff."""
+11,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to a higher payoff for me compared to Y, as the maximum payoff when choosing X is 15, which is greater than the maximum payoff of 10 when choosing Y. Additionally, since B is strictly dominated by A, Player 2 will choose A, which makes my payoff 15 when I choose X."""
+12,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B because it is strictly dominated by A. Wait, no, the statement says A is strictly dominated by B, so Player 2 must choose B if rational."""
+13,qwen3,0.7,True,Given,X,1.0,"""Choosing X maximizes my payoff. If Player 2 chooses A, I get 15 points. If they choose B, I get 5 points. Since Player 2 is rational and B is strictly dominated by A, they will choose A, leading to me getting 15 points."""
+14,qwen3,0.7,True,Given,Y,1.0,"""Player 2 must choose B if they are rational, as A is strictly dominated by B. Choosing Y leads to a higher payoff for Player 1 (15 points) when Player 2 chooses B."""
+15,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A since it is strictly dominant. Choosing A gives Player 2 higher payoff regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 with A vs 5 with B. If Player 1 chooses Y, Player 2 gets 5 with A vs 0 with B. Hence, Player 2 will choose A. Player 1 should choose X to maximize their payoff, as 15 (if Player 2 chooses A) is higher than 10 (if Player 2 chooses B)."""
+16,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B is strictly dominant over A for Player 2. Choosing B gives Player 2 higher payoff than A regardless of Player 1's choice. So, if I choose Y, Player 2 will choose B, giving me 15 points, which is the highest payoff for me."""
+17,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives Player 2 higher rewards regardless of Player 1's action. Since Player 2 is rational, they will choose A, resulting in Player 1 getting 15 points if they choose X."""
+18,qwen3,0.7,True,Given,Y,1.0,"""Player 2's optimal choice is B because it is strictly dominated by A. Wait, no, the rules say A is strictly dominated by B, so Player 2 should choose B. If I choose Y, Player 2's best response is B, which gives them 10 points. Choosing A would give them 5 points if Player 1 chooses Y. Therefore, Player 2 will choose B, leading to me getting 15 points."""
+19,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A since it is strictly dominant. Choosing A maximizes their payoff regardless of Player 1's action. Therefore, Player 1 should choose X to maximize their payoff when Player 2 chooses A, resulting in 15 points."""
+20,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B as it is strictly dominant. Therefore, choosing Y maximizes my payoff as I get 15 points if Player 2 chooses B."""
+21,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives Player 2 a higher payoff than B regardless of Player 1's choice. Therefore, if Player 1 chooses X, Player 2's best response is A, leading to Player 1 getting 15 points. If Player 1 chooses Y, Player 2's best response is still A, resulting in Player 1 getting 0 points. Since Player 2 will choose A, Player 1 should choose X to maximize their own payoff of 15 points."""
+22,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B since it is strictly dominated by B, so as Player 1, I choose Y to maximize my payoff when Player 2 chooses B."""
+23,qwen3,0.7,True,Given,X,1.0,"""Player 2 should choose A because B is strictly dominated by A, so the rational choice is A. Choosing A gives Player 2 a higher reward when Player 1 chooses X, which is 10 points compared to 5 points for B."""
+24,qwen3,0.7,True,Given,Y,1.0,"""Since Player 2 is rational and A is strictly dominated by B, Player 2 will choose B. Choosing B gives Player 2 a higher payoff regardless of Player 1's choice. Therefore, Player 1 should choose Y to maximize their own payoff when Player 2 chooses B, which yields 15 points."""
+25,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to Player 2 selecting A, as A is strictly dominant over B. This results in Player 1 receiving 15 points, which is the highest possible payoff for Player 1."""
+26,qwen3,0.7,True,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 they choose A, I get 5 points. Since B is strictly dominated by A for Player 2, they will choose A, leading to me getting 5 points. Even though 5 is less than 15, Y is the best choice for me."""
+27,qwen3,0.7,True,Given,X,1.0,"""Player 2 is rational and will choose A because B is strictly dominated by A. Choosing A maximizes Player 2's reward regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 by choosing A. If Player 1 chooses Y, Player 2 gets 5 by choosing A. So Player 2 will choose A, which makes Player 1's choice of X yield 15 points, which is better than choosing Y which would result in 0 points. Hence, the optimal choice is X."""
+28,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B as it is strictly dominant. If Player 1 chooses Y, Player 2's optimal choice is B because it gives them higher payoff than A."""
+29,qwen3,0.7,True,Given,X,1.0,"""Since Player 2 is rational and A is strictly dominant over B, they will choose A. If I choose X, Player 2's best response is A, which gives them 10 points. Choosing X leads to a higher payoff for me (15 points) compared to choosing Y, which would result in 0 points if Player 2 chooses A. Therefore, I choose X to maximize my own payoff."""
+30,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 should choose B because it strictly dominates A, giving Player 2 higher payoff. Choosing B ensures they get 10 points, which is better than A's 5 points. So, Player 2 will choose B, and I get 15 points for choosing Y."""
+1,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher potential payoff for Player 1 when Player 2 selects A, which is the dominant strategy for Player 2. Since A is strictly dominant over B, Player 2 will choose A, leading to Player 1 earning 15 points."""
+2,qwen3,0.7,True,Explicit,Y,1.0,"""I chose Y because it provides a higher payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Whereas if I had chosen X, I would get 0 for B and 10 for A, making Y the better choice overall."""
+3,qwen3,0.7,True,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 they choose B, I get 5 points. Choosing Y leads to 0 points if Player 2 chooses A and 10 points if they choose B. Since I want to maximize my own payoff, choosing X ensures a higher minimum reward compared to Y."""
+4,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher rewards for Player 1 in both scenarios. If Player 2 chooses B, Player 1 gets 15, and if Player 2 chooses A, Player 1 gets 5. Compared to X, which gives 10 if Player 2 chooses A and 0 if they choose B, Y provides better outcomes in both cases."""
+5,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher payoffs for Player 1 compared to Y. For example, if Player 2 chooses A, Player 1 gets 15, which is better than 0 for Y. However, since B is strictly dominated by A, Player 2 would choose A, making X the better choice for Player 1."""
+6,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to a higher payoff for me compared to X, as the maximum payoff I can get is 15 points when Player 2 chooses B. Since Player 2 is rational and will choose B to maximize their own reward, I should choose Y to maximize my own reward."""
+7,qwen3,0.7,True,Explicit,X,1.0,"""Player 2's best response to my choice of X is A, since choosing A gives them 10 points compared to 5 points for B. Since Player 2 will choose A, my payoff is 15, which is higher than choosing Y where Player 2 would choose B, giving me 10 points."""
+8,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y, Player 1 can ensure a higher payoff than X. For Player 2, B gives a higher payoff than A when Player 1 chooses Y, so Player 2 will choose B, leading to Player 1 getting 15 points."""
+9,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will choose A since A gives a higher reward (10) than B (5). Choosing A maximizes Player 2's reward, so they will select A. By choosing X, I get 15 points, which is better than choosing Y where I would get 0 if Player 2 chooses A or 10 if Player 2 chooses B. However, since Player 2 will choose A, my best choice is to pick X to maximize my points."""
+10,qwen3,0.7,True,Explicit,Y,1.0,"""choosing Y leads to higher payoff than X in case of B, and for player 2, B is dominant, thus player 2 would choose B, which gives player 1 15 points."""
+11,qwen3,0.7,True,Explicit,X,1.0,"""Player 2's optimal choice is A, since B is strictly dominated by A. Choosing A gives Player 2 a higher payoff than B regardless of Player 1's choice. Therefore, Player 2 would choose A. Player 1, aiming to maximize their own payoff, should choose X because if Player 2 chooses A, they get 15 points, which is higher than the 10 points they would get if Player 2 chooses B. Since Player 2 will choose A, Player 1 should choose X to maximize their own payoff."""
+12,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff if Player 2 chooses B, which gives me 15 points. Since B is strictly dominated by A for Player 2, they will choose A, leading to a 5-5 split. However, since A is not strictly dominated, I need to consider the possibility of B. If Player 2 chooses B, I get 15 points, which is better than 10 points if they choose A. Thus, I choose Y to maximize my payoff."""
+13,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows me to maximize my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Since 15 is higher than 5, I should choose X."""
+14,qwen3,0.7,True,Explicit,Y,1.0,"""Player 1 choosing Y would lead to higher rewards for Player 2 if they choose B (10 points) compared to A (5 points). Since A is strictly dominated by B, Player 2 would choose B. Therefore, Player 1 should choose Y to maximize their payoff when anticipating Player 2's rational choice of B."""
+15,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher rewards for Player 1 regardless of Player 2's choice, as choosing X provides a higher payoff than Y in all scenarios."""
+16,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff for me regardless of Player 2's action. If Player 2 chooses B, I get 15 points. If Player 2 chooses A, I get 5 points. Since 15 > 5, I choose Y to maximize my reward."""
+17,qwen3,0.7,True,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 get 5 points. Since 15 > 5, I choose X to maximize my own points."""
+18,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff. If Player 2 chooses B, I get 15 points. If Player 2 chooses A, I get 5 points. Since Player 2's best response depends on their own strategy, but I aim to maximize my own reward, Y is better because it gives a higher payoff in the case where Player 2 chooses B, which is likely. Also, since A is strictly dominated by B for Player 2, 2 will choose B, so I should choose Y to get the highest possible score."""
+19,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's action. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. Choosing Y gives me 0 or 10 points, which is less than the minimum of X's outcomes."""
+20,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows Player 1 to maximize their payoff when considering Player 2's rational choices. If Player 2 chooses B, Player 1 gets 15 points. If Player 2 chooses A, Player 1 gets 5 points. Since Player 2 is rational and aims to maximize their own payoff, they would choose B, which gives them 10 points. Therefore, Player 1 should choose Y to maximize their own reward based on Player 2's optimal response."""
+21,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which seems more likely since B is strictly dominated by A. If Player 2 chooses B, I get 5 points, which is still better than choosing Y, which gives 0 if Player 2 chooses A. Therefore, I choose X to maximize my payoff assuming Player 2 will choose A."""
+22,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2's optimal choice depends on my action. If I choose Y, Player 2 should pick B to maximize their reward (10 points) instead of A (5 points). If I choose X, Player 2 should pick A to maximize their reward (0 points) instead of B (5 points). As Player 1, choosing Y leads to a higher payoff for me compared to X, so I will select Y."""
+23,qwen3,0.7,True,Explicit,X,1.0,"""Player 1 chooses X to maximize their own payoff. If Player 2 chooses A, Player 1 gets 15 points; if Player 2 chooses B, Player 1 gets 5 points. Since Player 2's optimal choice depends on their own maximization, but Player 1 must assume Player 2 will choose the action that maximizes their own reward. However, Player 2's dominant strategy is B, which gives them 5 points if Player 1 chooses X or 0 if Player 1 chooses Y. Thus, Player 2 will choose B if Player 1 chooses X, resulting in Player 1 getting 5 points. Player 1 should therefore choose Y to get 10 points when Player 2 chooses B. However, if Player 2 is rational and chooses B, the optimal choice for Player 1 is Y, but since B is strictly dominated by A for Player 2, they would choose A, resulting in Player 1 getting 0 points if they choose Y and 15 points if they choose X. This leads to the conclusion that Player 1 should choose X to ensure the best possible outcome."""
+24,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to maximize my payoff based on the given conditions. If Player 2 chooses B, I get 15 points, which is the highest possible reward for Player 1. If Player 2 chooses A, I get 5 points, which is still better than the alternative (X) where I would get 10 points if Player 2 chooses A. However, since the problem states that A is strictly dominated by B for Player 2, they will choose B to maximize their own reward, leading to Player 1 getting 15 points."""
+25,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which is the dominant strategy for Player 2. Since A is strictly dominant over B, Player 2 will choose A. Therefore, selecting X gives me 15 points, which is higher than the 10 points from Y if Player 2 also chooses A."""
+26,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows Player 1 to potentially gain higher points if Player 2 chooses B, which gives Player 1 15 points. Since Player 2's optimal choice depends on their own payoff, and A is strictly dominated by B, Player 2 would choose B, leading to a higher payoff for Player 1."""
+27,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher payoff for me than Y. If I choose X, Player 2 will choose A, which gives me 15 points, whereas if I choose Y, Player 2 will choose B for 10 points, which is better for them. Therefore, I will choose X to maximize my own payoff."""
+28,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y gives Player 1 higher points when Player 2 chooses B (15 vs. 5 if Player 2 chooses A). However, since A is strictly dominated by B for Player 2, they will choose B to maximize their own reward. Thus, Player 1 should choose Y to maximize their payoff against Player 2's optimal B choice."""
+29,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to a higher payoff for Player 1 compared to Y in the case where Player 2 chooses A. Since B is strictly dominated by A, Player 2 will choose A, leading to Player 1 receiving 15 points."""
+30,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff because if Player 2 chooses B, I get 15 points. If Player 2 chooses A, I still get 5 points. Since B gives a higher payoff for me regardless of Player 2's choice, I choose Y."""
+1,qwen3,0.7,True,Implicit,X,1.0,"""By choosing X, Player 1 can potentially maximize their payoff by anticipating Player 2's optimal response. If Player 2 chooses A, Player 1 gains 15 points, which is higher than the 5 points from choosing B. If Player 2 chooses B, both get 5 points. However, Player 2 would likely choose A if it maximizes their own reward, since choosing A gives Player 2 10 points (which is higher than 5 points if they choose B). Therefore, Player 1 should anticipate that Player 2 will choose A and go with X to secure higher payoff."""
+2,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their reward (10 points). If Player 2 chooses A, they get 5 points, which is less than 10. Therefore, Player 2 will choose B, giving me 15 points."""
+3,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 15 points. If they choose B, I get 5 points. Since 15 is higher than 5, I should choose X."""
+4,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y allows me to maximize my own payoff depending on Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Since I don't know Player 2's choice, I prefer Y because it offers a higher potential reward (15 vs. 5) if Player 2 chooses B. Additionally, Player 2's optimal choice would depend on their own payoff, but as Player 1, I aim for the highest possible outcome for myself."""
+5,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses B, which gives me 5 points. However, if Player 2 chooses A, I get 15 points. Since Player 2 aims to maximize their own reward, they would choose A (getting 10 points) over B (getting 5 points). Therefore, I should choose X to maximize my own reward, anticipating Player 2 will choose A."""
+6,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y allows me to maximize my payoff regardless of Player 2's choice. For instance, if Player 2 chooses B, I get 15 points, which is higher than the 10 points if Player 2 chooses A. Therefore, I choose Y as it offers the highest potential payoff for me."""
+7,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X and anticipating Player 2's choice of A maximizes my payoff. If Player 2 chooses A, I get 15 points, which is higher than the 10 points from if Player 2 chooses B. Assuming Player 2 is rational and will choose A, then X is the optimal choice for me."""
+8,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can either choose B or A. If Player 2 chooses B, they get 10 points (since Player 1 gets 15, Player 2 gets 10). If Player 2 chooses A, they get 5 points. Since 10 is higher than 5, Player 2 will choose B. Therefore, Player 1 should choose Y to maximize their payoff of 15 points."""
+9,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2's best response is to choose A, giving them 10 points, which is higher than choosing B (which gives them 5 points). Thus, Player 2 would choose A, leading to me getting 15 points. However, if I choose Y, Player 2's best response is to choose B, giving them 0 points, which is worse than choosing A (5 points). Thus, Player 2 would choose A, leading to me getting 0 points. Therefore, I should choose X to maximize my own payoff."""
+10,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y and assuming Player 2 will choose B maximizes my payoff. If Player 2 chooses B, I get 15 points, which is higher than if they choose A, where I get 5 points."""
+11,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's action. If Player 2 chooses A, I get 15 points. If they choose B, I get 5 points. Choosing Y would result in 0 points if Player 2 chooses A and 10 points if they choose B. Since the minimum payoff for X is 5, which is higher than the minimum for Y (0), I should choose X to maximize my own payoff."""
+12,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y allows me to potentially gain more points if Player 2 chooses B, which gives me 15 points. Even if Player 2 chooses A, I still get 5 points, which is better than the 0 points I would get if I chose X and Player 2 chose B. Therefore, Y is the better choice overall."""
+13,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows me to potentially gain higher points if Player 2 chooses A, which is the most rewarding outcome for Player 1. Since Player 2's optimal choice depends on their own payoff, and assuming they are rational, if I choose X, Player 2 would prefer A to get 10 points, which is higher than 5 from B. Therefore, my choice of X leads to a higher potential reward if they choose A."""
+14,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can choose B to get 10 points, which is higher than choosing A which gives 5 points. Since Player 2 would aim to maximize their reward, they will choose B. As a result, I get 15 points, which is better than the alternative outcomes if I choose X. Therefore, I will choose Y to maximize my own payoff."""
+15,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose A to maximize their reward of 10 points. Choosing B would give Player 2 only 5 points, which is less than 10. Thus, Player 2's best response is A. Choosing X for me gives me 15 points, which is higher than choosing Y, which would give me 0 points if Player 2 chooses A. Therefore, I choose X to maximize my own payoff."""
+16,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y and anticipating Player 2's action is crucial. If Player 2 chooses B, we get 15 points. If Player 2 chooses A, we get 5 points. If Player 2 is rational, they would want to maximize their own reward. Let's analyze for both cases.
+
+When Player 1 chooses Y:
+- If Player 2 chooses B, they get 10 points.
+- If Player 2 chooses A, they get 5 points.
+So, Player 2 would choose B to get 10 points, which is better than 5.
+
+Therefore, Player 1 should choose Y to get 15 points when Player 2 chooses B, which is optimal for Player 2. Hence, the best choice for Player 1 is Y."""
+17,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which gives me 15 points. Since Player 2 would choose A to maximize their own reward (10 points vs 5 points for B), they will choose A, leading to my maximum payoff."""
+18,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2's best response is to choose B, which gives them 10 points. However, I am Player 1 and my goal is to maximize my own payoff, so I need to consider what Player 2 will do based on my choice. If I choose Y and Player 2 chooses B, I get 15 points. If Player 2 chooses A, I get 5 points. Since Player 2 will choose B to maximize their own reward, my optimal choice (as Player 1) would be Y, because it gives me the highest payoff (15 points) if Player 2 chooses B. However, I need to also consider the possibility that Player 2 may not choose B, which could lead to a lower payoff for me. However, since I cannot control Player 2's choice, I should choose the option that gives me the highest possible payoff if Player 2 acts rationally. Therefore, I will choose Y."""
+19,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher potential rewards if Player 2 chooses A, which is likely their optimal response."""
+20,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher potential rewards if Player 2 chooses B, which gives me 15 points. Since Player 2 would aim to maximize their own payoff, they would choose B if possible, making Y the optimal choice for maximizing my own payoff."""
+21,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X gives higher payoff for me regardless of Player 2's choice, as it provides either 15 points (if Player 2 chooses A) or 5 points (if Player 2 chooses B)."""
+22,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose A because it gives them 5 points (if they choose A) or 10 points (if they choose B). Since 10 is higher, Player 2 will choose B, which gives them 10 points. However, this would result in me getting 5 points. Alternatively, if Player 2 chooses A, I get 5 points, and they also get 5. So, if I choose Y, Player 2 will choose B for higher reward, leading to me getting 5 points. But I need to consider that Player 2 might also consider my likely choice. If I choose Y, they might anticipate my choice and choose B. However, if I choose X, they might choose A to get 0 points for me and 0 for them. I think choosing Y leads to a better outcome for me, so I will choose Y."""
+23,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my potential payoff. If Player 2 chooses A, I get 15 points, which is the highest possible reward for me. I assume Player 2 will choose A to maximize their own reward, but since their reward is 10 for A and 5 for B, they will choose A, leading to my maximum payoff."""
+24,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their reward. If Player 2 chooses B, they get 10 points (which is higher than 5 if they choose A). Therefore, Player 2 will choose B, giving me 15 points. Choosing Y is better for me than X, which would result in Player 2 choosing A and me getting 10 points."""
+25,qwen3,0.7,True,Implicit,X,1.0,"""I choose X because if Player 2 chooses A, I get 15 points, which is higher than if they choose B (5 points). Therefore, Player 2 will likely choose B to maximize their own reward (5 points) instead of A (10 points). However, this leads to me getting 5 points, which is more than if Player 2 chooses A, which would give me 15. So choosing X maximizes my reward regardless of Player 2's choice, as 15 is higher than 5."""
+26,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Compared to choosing X, which gives 10 points if Player 2 chooses A and 0 if they choose B, Y is better in both scenarios."""
+27,qwen3,0.7,True,Implicit,X,1.0,"""I choose X because it maximizes my own payoff regardless of what Player 2 does. If Player 2 chooses A, I get 15 points; if they choose B, I get 5 points. However, the reasoning for Player 2's choice is crucial. If I choose X, Player 2 will choose B to maximize their own reward, since choosing B gives them 5 points (vs 10 if they choose A). Wait, that's conflicting. Let me re-examine the rules: If I choose X and Player 2 chooses A, they get 10 points. If Player 2 chooses B, they get 5 points. So, Player 2 will choose A to maximize their reward. Therefore, choosing X risks getting 5 points if Player 2 chooses B, but I'm not sure if this is the best choice. I need to consider the possible outcomes more carefully."""
+28,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives me a higher payoff than X if Player 2 chooses B, which I believe they would do to maximize their own reward. If I choose Y and Player 2 chooses B, I get 15 points, which is better than the 10 points I would get if they chose A. However, I need to consider Player 2's optimal response. If I choose Y, Player 2 can choose B to get 10 points or A to get 5 points. Therefore, Player 2 will choose B to maximize their reward. Since Player 2 choosing B gives me 15 points, which is higher than if they chose A, I should choose Y to maximize my own payoff."""
+29,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which gives me 15 points. Even though if Player 2 chooses B I get 5 points, it's better than choosing Y which can give me 0 or 10 points depending on Player 2's choice. Assuming Player 2 is rational and will choose A to maximize their own reward (which gives them 10 points), I should choose X to maximize my own payoff."""
+30,qwen3,0.7,True,Implicit,Y,1.0,"""I choose 'Y' because it maximizes my payoff when player 2 chooses 'B', which is the best choice for player 2 to maximize their reward. If I choose Y, player 2 would get 10 points for choosing B, which is better than 5 points for choosing A. Thus, I anticipate player 2 will choose B, leading me to get 15 points."""
diff --git a/data/ring/ring.1.b.False.csv b/data/ring/ring.1.b.False.csv
index 0227ebe..6ece9bf 100644
--- a/data/ring/ring.1.b.False.csv
+++ b/data/ring/ring.1.b.False.csv
@@ -629,3 +629,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
28,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""According to the game rules, if Player 2 chooses B and I choose Y, I receive 8 points, which is the highest payoff for any given choice of Player 2's action. If Player 2 chooses A, then my choosing Y gives me 7 points, while X would only give me 5 points. Therefore, in all cases, choosing Y maximizes my payoff."""
29,mixtral:8x7b,0.7,False,Implicit,Y,0.0,"""By choosing 'Y', I can guarantee a payoff of at least 7 points, regardless of Player 2's choice. If Player 2 chooses A, I receive 7 points; if Player 2 chooses B, I receive 8 points. On the other hand, if I choose 'X', although it offers a higher reward (8 points) when Player 2 picks A, it also exposes me to receiving only 7 points when Player 2 picks B. Therefore, choosing 'Y' is the more rational decision to maximize my own payoff."""
30,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As a rational player, I aim to maximize my own payoff. In this case, if I choose 'Y' and the other player chooses 'A', I receive 7 points, which is more than the 5 points I would get for choosing 'X' in that scenario. If the other player chooses 'B', by choosing 'Y' I receive 8 points, while by choosing 'X' I would only receive 7 points. Thus, regardless of the other player's choice, I am better off choosing 'Y'. This strategy is known as a dominant strategy."""
+1,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to higher payoff for me (8 points) compared to Y (7 points)."""
+2,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y results in 8 points for me, which is better than choosing X which would give me 7 points."""
+3,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it's rational), choosing X gives me 8 points, which is better than choosing Y which would give me 7 points."""
+4,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (8 points) compared to choosing X (7 points)."""
+5,qwen3,0.7,False,Given,Y,0.0,"""Since Player 2 will choose A, choosing Y leads to Player 1 getting 7 points. Choosing X leads to Player 1 getting 7 points as well. However, since Player 2 is rational and chooses A, Player 1 should choose Y because it results in a higher payoff for Player 1 compared to X. Wait, no, both X and Y result in 7 points if Player 2 chooses A. So either choice is equally optimal. But since the question asks for a choice, selecting Y is the correct one."""
+6,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (8 points) compared to choosing X which would also give me 7 points if Player 2 chooses B."""
+7,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A, selecting X gives Player 1 a higher payoff (8) compared to choosing Y which gives 7 points."""
+8,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, selecting Y leads to a higher payoff for me (8 points) compared to choosing X (7 points)."""
+9,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X gives me 8 points, which is higher than choosing Y which would result in 7 points."""
+10,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and chooses B, choosing Y leads to a higher payoff for Player 1 (8 points) compared to X (7 points)."""
+11,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X gives me 8 points, which is better than choosing Y which would give me 7 points."""
+12,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y will result in 8 points for me, which is better than choosing X which would result in 7 points."""
+13,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A, I should choose X to maximize my payoff. If I choose X, I get 8 points, which is higher than choosing Y which would give me 7 points."""
+14,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, selecting Y leads to Player 1 receiving 8 points, which is higher than the 7 points from selecting X. Therefore, the optimal choice for maximizing payoff is Y."""
+15,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), choosing X gives me 8 points, which is higher than choosing Y which would give me 7 points."""
+16,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, choosing Y leads to Player 1 receiving 8 points, which is better than choosing X which would result in 7 points."""
+17,qwen3,0.7,False,Given,Y,0.0,"""If Player 2 is rational and chooses A, then choosing Y gives me 7 points, which is better than choosing X which would give me 8 points. Wait, no, that doesn't match."""
+18,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and chooses B, choosing Y leads to a higher payoff for me (8 points) compared to X (7 points)."""
+19,qwen3,0.7,False,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. If I choose X, I get 8 points (since Player 2 chooses A). If I choose Y, I get 7 points. Therefore, choosing X gives me a higher payoff."""
+20,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, selecting Y maximizes my payoff. If I choose Y and Player 2 chooses B, I get 8 points, which is higher than choosing X and getting 7 points when Player 2 also chooses B."""
+21,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, I should choose X to maximize my payoff. If I choose X, Player 2 chooses A, resulting in me getting 8 points. If I choose Y, Player 2 chooses A, resulting in me getting 7 points. Therefore, choosing X gives me a higher payoff."""
+22,qwen3,0.7,False,Given,Y,1.0,"""Player 2 is rational and will choose B, so choosing Y maximizes my payoff when Player 2 picks B, which gives me 8 points."""
+23,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A due to rationality, selecting X results in a higher payoff for me (8 points) compared to choosing Y (7 points)."""
+24,qwen3,0.7,False,Given,Y,1.0,"""If Player 2 is rational and chooses B (as stated), then choosing Y gives me 8 points, which is better than choosing X which would give me 7 points."""
+25,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A, the outcome depends on Player 1's choice. Choosing X gives 8 points when Player 2 chooses A, while choosing Y gives 7 points. Therefore, Player 1 should choose X to maximize their payoff."""
+26,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y maximizes my payoff. If I choose Y, I get 8 points (when Player 2 chooses B) which is better than choosing X where I get 7 points."""
+27,qwen3,0.7,False,Given,Y,0.0,"""Choosing Y leads to a higher payoff than X when considering Player 2's rational choice of A. If Player 2 chooses A, selecting Y gives Player 1 7 points, which is more than the 8 points from choosing X. However, this calculation is incorrect. Let me re-evaluate. When Player 2 chooses A, choosing X gives 8 points, and Y gives 7 points. Therefore, Player 1 should choose X to maximize payoff. The earlier reasoning was flawed. The correct choice is X."""
+28,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y will result in a higher payoff for me (8 points) compared to choosing X (7 points)."""
+29,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A, I should choose X to maximize my payoff. If I choose X, I get 8 points, which is higher than choosing Y which would give me 7 points."""
+30,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (8 points) compared to choosing X which would give me 7 points."""
+1,qwen3,0.7,False,Explicit,X,1.0,"""If Player 1 chooses X, the payoff for Player 1 is 8 if Player 2 chooses A and 7 if Player 2 chooses B. If Player 1 chooses Y, the payoff is 7 if Player 2 chooses A and 8 if Player 2 chooses B. Since B is strictly dominated by A for Player 2, it means Player 2 will choose A. Therefore, Player 1 should choose X to maximize the payoff of 8."""
+2,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y gives a higher payoff if Player 2 chooses B, and since A is strictly dominated by B, Player 2 would choose B. Therefore, Y is the optimal choice."""
+3,qwen3,0.7,False,Explicit,X,1.0,"""Because B is strictly dominated by A, Player 2 will choose A regardless of Player 1's action. Therefore, Player 1 should choose X to maximize their payoff when Player 2 chooses A, which gives 8 points."""
+4,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B is strictly dominated by A, so I choose Y to maximize my payoff."""
+5,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, regardless of Player 2's choice, choosing X provides a higher payoff than Y. If Player 2 chooses A, X gives 8 vs. Y's 7. If Player 2 chooses B, X gives 7 vs. Y's 8. However, since B is dominated by A, Player 2 will choose A, so Player 1 should choose X to maximize payoff."""
+6,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B is not strictly dominated by A, but since the payoff for Player 1 when choosing Y and Player 2 chooses B is higher than when choosing X and Player 2 chooses B, I should choose Y to maximize my payoff regardless of Player 2's choice."""
+7,qwen3,0.7,False,Explicit,X,1.0,"""Player 2's choice of A or B is not specified. However, since B is strictly dominated by A, Player 2 will choose A. Choosing X results in the highest payoff for Player 1 when Player 2 chooses A (8 points)."""
+8,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B is not strictly dominated, so selecting Y could lead to higher points if Player 2 chooses B. However, without knowing Player 2's strategy, choosing Y might risk lower points if Player 2 chooses A. Since the problem states that A is strictly dominated by B for Player 2, Player 2 will choose B. Therefore, choosing Y maximizes my payoff as it leads to 8 points for Player 1 when Player 2 chooses B."""
+9,qwen3,0.7,False,Explicit,X,1.0,"""By choosing X, I can maximize my payoff regardless of Player 2's choice."""
+10,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives Player 1 8 points, which is better than choosing X which would only give 7 points."""
+11,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives Player 1 8 points, which is higher than choosing Y which gives 7 points."""
+12,qwen3,0.7,False,Explicit,Y,1.0,"""Since B is strictly dominant for Player 2, I should choose Y to maximize my payoff. When Player 2 chooses B, my payoff is higher than when they choose A."""
+13,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff when Player 2 chooses A, which gives 8 points."""
+14,qwen3,0.7,False,Explicit,Y,1.0,"""I chose Y because it leads to a higher payoff for me than X in either case."""
+15,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice, as it gives me 8 points in both scenarios compared to 7 points for Y."""
+16,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will always choose B. Choosing Y when Player 2 chooses B gives me 8 points, which is higher than choosing X which would only give me 7 points."""
+17,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff when Player 2 chooses A, which gives me 8 points."""
+18,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 8 points, which is better than choosing X which would also lead to 7 points if Player 2 chooses B. Thus, I choose Y to maximize my payoff."""
+19,qwen3,0.7,False,Explicit,Y,0.0,"""choosing Y because it leads to higher payoff than X when considering Player 2's potential actions."""
+20,qwen3,0.7,False,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 they choose A, I get 7 points. Choosing X would give me 7 or 8 points, but Y consistently provides at least 7 points, which is the same as X in some cases. Since A is strictly dominated by B, Player 2 will choose B, so Y gives me 8 points, which is better than X's 7."""
+21,qwen3,0.7,False,Explicit,X,1.0,"""Player 2's choice of A or B will determine the outcome. Since B is strictly dominated by A, Player 2 will choose A. Choosing X against A gives me 8 points, which is higher than choosing Y against A which gives 7 points. Therefore, I choose X."""
+22,qwen3,0.7,False,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 get 7 points. Since A is strictly dominated by B, Player 2 will choose B, so Y is the best choice."""
+23,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X gives a higher payoff than Y when considering the possible responses of Player 2. Since B is strictly dominated by A, Player 2 will choose A, leading to higher points for Player 1 when choosing X."""
+24,qwen3,0.7,False,Explicit,Y,1.0,"""Since B is strictly dominated by A, Player 2 will choose A, so I should choose Y to get 7 points."""
+25,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize payoff (8 points) instead of Y (7 points)."""
+26,qwen3,0.7,False,Explicit,Y,1.0,"""If I choose Y, then regardless of Player 2's choice, I can get a higher payoff. If Player 2 chooses B, I get 8 points. If Player 2 chooses A, I get 7 points. Choosing Y gives me more points in both scenarios compared to choosing X, which gives me 7 or 8 points. Choosing Y results in higher points in both situations."""
+27,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff, which gives 8 points instead of 7 if choosing Y."""
+28,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B for Player 2, choosing Y maximizes my payoff regardless of Player 2's choice."""
+29,qwen3,0.7,False,Explicit,X,1.0,"""B is strictly dominated by A, so Player 2 will choose A. If Player 2 chooses A, Player 1 should choose X to maximize payoff (8 points)."""
+30,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B seems more likely since B strictly dominates A, leading to higher payoff for Player 1 when choosing Y."""
+1,qwen3,0.7,False,Implicit,X,1.0,"""If Player 2 chooses A, X gives 8 points. If Player 2 chooses B, X gives 7 points. Choosing X maximizes my points in both scenarios."""
+2,qwen3,0.7,False,Implicit,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 get 7 points. Since 8 is higher than 7, selecting Y gives me the best possible outcome."""
+3,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which is the higher reward for me compared to Y."""
+4,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points, which is still better than the 8 points I get if I choose X and Player 2 chooses A. Therefore, Y is the optimal choice."""
+5,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X might lead to higher points if Player 2 chooses A, which seems more likely as it's the default option."""
+6,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points, which is still better than the 8 points I get if I choose X and Player 2 chooses A."""
+7,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher points for Player 1 when Player 2 chooses A, which is likely the optimal response for Player 2. Since Player 2 would aim to maximize their own payoff, they would choose A if Player 1 chooses X, resulting in Player 1 getting 8 points."""
+8,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7. Choosing X would give me 7 or 8 points depending on Player 2's choice, but Y offers a higher potential payoff in the case of B."""
+9,qwen3,0.7,False,Implicit,X,1.0,"""If Player 2 chooses A, Player 1 gets 8 points. If Player 2 chooses B, Player 1 gets 7 points. Choosing X gives a higher payoff than Y in both scenarios, so X is the better choice."""
+10,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points. Choosing X would give me 7 or 8 points, but Y consistently gives at least 7 points. Since Y provides the same or better outcome than X in all scenarios, I will choose Y."""
+11,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 8 points. If they choose B, I get 7 points. Choosing Y would give me 7 or 8 points, but I get 8 points with X when Player 2 chooses A, which is better."""
+12,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice."""
+13,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my points regardless of Player 2's choice. If Player 2 chooses A, I get 8 points. If Player 2 chooses B, I get 7 points. Choosing Y gives me 7 or 8 points, which is slightly less than the maximum of 8 points from X."""
+14,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff, as it results in either 8 or 7 points, which are higher than the 7 or 8 points from choosing X. However, the exact choice depends on predicting Player 2's move, which I cannot do. To maximize my own payoff, I will select Y as it offers a higher minimum gain."""
+15,qwen3,0.7,False,Implicit,X,1.0,"""If I choose X, Player 2 would choose A to maximize their own points, resulting in me getting 8 points. If I choose Y, Player 2 would choose B to maximize their points, resulting in me getting 8 points. Since both options lead to the same payoff for me, I will choose X as it is the first option."""
+16,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points, which is still better than choosing X (which would give me 7 or 8 points depending on Player 2's choice)."""
+17,qwen3,0.7,False,Implicit,X,1.0,"""Player 2's choices are likely to be A or B. Choosing X gives higher payoff in both cases. Choosing X yields 8 or 7 points, while Y yields 7 or 8 points. Since maximizing own payoff is the priority, choosing X ensures at least 7 points and potentially 8, which is better than the alternative."""
+18,qwen3,0.7,False,Implicit,Y,1.0,"""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."""
+19,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 8 points. If they choose B, I get 7 points. Choosing Y gives me 7 or 8 points, which is slightly less than X in some cases."""
+20,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff if I anticipate Player 2's choice. If Player 2 chooses B, I get 8 points, which is better than choosing X and getting 7. If Player 2 chooses A, I get 7 points, which is better than choosing X and getting 8 points. Wait, no, if Player 2 chooses A, choosing Y gives me 7 points, while choosing X gives me 8 points. So there is a conflict. However, since I cannot know Player 2's choice, I need to consider the possibility of both choices. Choosing Y gives me a higher payoff if Player 2 chooses B, which is 8 points, while choosing X gives me 8 points if Player 2 chooses A. Since there is no information on Player 2's choice, I might assume they will choose B to maximize their own payoff. If Player 2 is rational and wants to maximize their own payoff, they would choose B in response to me choosing Y (giving them 10 points) or A in response to me choosing X (giving them 5 points). Wait, the game is only about my payoff, not Player 2's. So I should focus on maximizing my own payoff based on my expectations of Player 2's choice. If I choose Y, I get 8 points if Player 2 chooses B and 7 if they choose A. If I choose X, I get 7 if Player 2 chooses B and 8 if they choose A. Without knowing Player 2's choice, the best strategy to maximize my own payoff is to choose the action that gives me the higher minimum payoff (maximin strategy). Choosing X would give me 8 points if Player 2 chooses A, while choosing Y would give me 7 points if Player 2 chooses A. Wait, that doesn't seem right. Let me re-evaluate. Choosing X gives me 8 points if Player 2 chooses A and 7 if they choose B. Choosing Y gives me 7 points if Player 2 chooses A and 8 if they choose B. So if I am uncertain about Player 2's choice, I should choose the action that maximizes the minimum payoff. Choosing X gives me 8 points if Player 2 chooses A and 7 points if they choose B. Choosing Y gives me 7 points if Player 2 chooses A and 8 points if they choose B. The minimum payoff for X is 7, and for Y it is 7. So both actions have the same minimum. But if I can anticipate Player 2's choice, I should prefer the action that gives the higher payoff. However, since there is no information on Player 2's choice, I need to assume that they also act rationally. Assuming Player 2 is trying to maximize their own payoff, which is different from mine. If I choose X, Player 2 gets 5 points if I choose X and they choose B, or 0 if they choose A. If I choose Y, Player 2 gets 10 points if they choose B or 5 if they choose A. Since Player 2 is rational and wants to maximize their own payoff, if I choose Y, they would choose B to get 10 points. If I choose X, they would choose A to get 5 points. Wait, if I choose X, and Player 2 chooses A, they get 0. That's worse than choosing B, which gives them 5 points. So Player 2 would choose B if I choose X, because it gives them 5 points, which is better than 0. Or wait, let me check the rules again. If Player 1 chooses X and Player 2 chooses B, Player 2 gets 5 points. If Player 1 chooses X and Player 2 chooses A, Player 2 gets 0. So Player 2 would prefer to choose B if I choose X, because 5 > 0. Therefore, if I choose X, Player 2 would choose B. If I choose Y, Player 2 would choose B to get 10 points. So regardless of my choice, Player 2 would choose B. Therefore, if I choose Y, I get 8 points; if I choose X, I get 7 points. So the best choice for me is to choose Y, which gives me 8 points. Hence, the optimal action is Y."""
+21,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice, as it gives me 8 points if Player 2 chooses A and 7 points if Player 2 chooses B, which is better than Y's 7 and 8 points."""
+22,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points; if they choose A, I get 7 points. Comparing to X, which gives 7 or 8 points, Y ensures at least 7 points, which is better than X's 7 or 8 in some cases."""
+23,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 8 points. If they choose B, I get 7 points. Choosing Y would result in 7 or 8 points, but X gives a higher minimum (8 vs 7)."""
+24,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 selects B, I get 8 points. If they select A, I get 7 points. Choosing X would only give me 7 or 8 points, but Y consistently provides at least 7 points. However, I need to consider the possibility of Player 2's choices. Since Player 2 might choose B or A, I should aim for the higher payoff. If Player 2 chooses B, Y gives 8 points, which is better than X's 7. If Player 2 chooses A, Y gives 7 points, which is the same as X's 8 points? Wait, no. Wait, if Player 1 chooses X and Player 2 chooses A, Player 1 gets 8 points. So choosing X gives 8 points if Player 2 chooses A, which is better than Y's 7 points in that case. Therefore, the optimal choice depends on Player 2's strategy. However, since I don't know Player 2's choice, I need to consider the best strategy assuming rational play. If Player 2 is rational, they would choose A if I choose X, because that would give them 0 points (which is worse for them, but they might choose A to minimize my points). Alternatively, if Player 2 is rational, they might try to minimize my payoff. If they choose A when I choose X, then I get 8 points. If they choose B when I choose X, I get 7 points. But since Player 2 wants to maximize their own payoff, they might prefer to choose A if I choose X because that gives them 0 points, which is worse than choosing B which gives them 5 points. Wait, this is conflicting. Let me recheck the payoffs. The payoffs for Player 2 are as follows: If Player 1 chooses Y and Player 2 chooses B, Player 2 gets 10 points. If Player 1 chooses Y and Player 2 chooses A, Player 2 gets 5 points. If Player 1 chooses X and Player 2 chooses B, Player 2 gets 5 points. If Player 1 chooses X and Player 2 chooses A, Player 2 gets 0 points. So Player 2's goal is to maximize their points, which is 10, 5, 5, or 0. Therefore, if I choose Y, Player 2 would prefer to choose B (to get 10 points). If I choose X, Player 2 would prefer to choose B (to get 5 points) or A (to get 0 points, but they would prefer B for 5). Wait, if I choose X, Player 2's options are: B gives them 5 points, A gives them 0. They would prefer B. So, if I choose X, Player 2 would choose B, resulting in me getting 7 points. If I choose Y, Player 2 would also choose B, which gives me 8 points. So, if I choose Y, Player 2 would choose B, which is better for me. If I choose X, Player 2 would choose B, which gives me 7 points. So, if I don't know Player 2's behavior, but Player 2 is rational and will choose the option that maximizes their own points, then if I choose Y, Player 2 will choose B, giving me 8 points. If I choose X, Player 2 will choose B, giving me 7 points. So Y is better for me, since it gives 8 points, which is higher than 7 points. Therefore, I should choose Y to maximize my points, as Player 2 would respond with B in both cases, but I get more points with Y."""
+25,qwen3,0.7,False,Implicit,X,1.0,"""I choose X because it yields a higher payoff than Y in the scenarios where Player 2's choice could be A or B."""
+26,qwen3,0.7,False,Implicit,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 get 7 points. Since 8 is higher than 7, I prefer Y over X."""
+27,qwen3,0.7,False,Implicit,X,1.0,"""If I choose X, regardless of Player 2's choice, I can get at least 7 points. If Player 2 chooses B, I get 7 points, which is better than getting 8 points if I choose Y and Player 2 chooses B. However, the maximum payoff for me is 8 points, so I should choose X if Player 2 chooses A, and Y if Player 2 chooses B. But since I don't know Player 2's choice, I should consider the best outcome for myself. Since I don't know Player 2's choice, I should choose the option that maximizes my minimum payoff. For X, the minimum is 7 points (if Player 2 chooses B). For Y, the minimum is 7 points (if Player 2 chooses A). However, if I choose X, there's a chance that Player 2 might choose A, which gives me 8 points. But since I don't know Player 2's choice, I should choose the option that maximizes my minimum payoff. Both X and Y give me a minimum of 7 points. But since choosing X also has a higher potential payoff of 8 points if Player 2 chooses A, I should choose X as it could lead to a higher payoff if Player 2 chooses A, and the minimum is the same as Y."""
+28,qwen3,0.7,False,Implicit,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 get 7 points. Choosing Y gives me more points than choosing X in both scenarios."""
+29,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher payoff regardless of Player 2's choice. If Player 2 chooses A, Player 1 gets 8 points. If Player 2 chooses B, Player 1 gets 7 points, which is better than the 7 points from Y when Player 2 chooses A and 8 points from Y when Player 2 chooses B. However, this analysis seems to have inconsistencies. Let me re-evaluate. If Player 1 chooses X, they get 8 points if Player 2 chooses A and 7 points if Player 2 chooses B. If Player 1 chooses Y, they get 7 points if Player 2 chooses A and 8 points if Player 2 chooses B. Since the outcome depends on Player 2's choice, I need to consider possible strategies. Assuming Player 2 will choose based on maximizing their own payoff, I should look for a dominant strategy. However, without knowing Player 2's strategy, I can't guarantee the best outcome. Therefore, I might choose X, as it provides a better minimum payoff (8 points if Player 2 chooses A, 7 if B) compared to Y, which gives 7 if A and 8 if B. So, choosing X is the safer option to maximize my points."""
+30,qwen3,0.7,False,Implicit,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 get 7 points. Choosing Y leads to higher points in both scenarios compared to X, which gives 7 or 8 points. However, Y's higher points in the B case make it better."""
diff --git a/data/ring/ring.1.b.True.csv b/data/ring/ring.1.b.True.csv
index 2147268..39211dd 100644
--- a/data/ring/ring.1.b.True.csv
+++ b/data/ring/ring.1.b.True.csv
@@ -539,3 +539,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
8,mixtral:8x7b,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can either choose B or A. If Player 2 chooses B, they get 10 points and I get 8 points. If Player 2 chooses A, they get 5 points and I get 7 points. Since Player 2 is rational and wants to maximize their reward, they will likely choose B, as it gives them a higher payoff. Therefore, my optimal action would be Y."""
9,mixtral:8x7b,0.7,True,Implicit,,,
10,mixtral:8x7b,0.7,True,Implicit,,,
+1,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A strictly dominates B. Choosing A gives Player 2 a higher reward (10 vs. 5). Therefore, Player 2 will select A, resulting in me getting 8 points. Choosing Y would lead to Player 2 also choosing A, giving me 7 points. Since 8 > 7, it's better to choose X."""
+2,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B because it is strictly dominant, so it will maximize their reward. Since B gives a higher payoff for Player 2 regardless of Player 1's choice, Player 2 will choose B. Choosing Y leads to higher payoffs for me if Player 2 chooses B (8 points). Choosing X would lead to 7 points if Player 2 chooses B, which is lower than 8. So, the optimal choice for me is Y."""
+3,qwen3,0.7,True,Given,X,1.0,"""Player 2 should choose A because it is strictly dominant over B. If I choose X, Player 2 gets 10 points for choosing A and 5 points for B. Thus, they will choose A, giving me 8 points."""
+4,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B because if they choose B, they receive a higher payoff compared to A, regardless of Player 1's choice. Since B strictly dominates A, Player 2 will rationally choose B, which maximizes their own reward."""
+5,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A since A strictly dominates B. Choosing A gives Player 2 higher payoffs than B in both scenarios. Therefore, Player 2 will pick A, resulting in me getting 8 points."""
+6,qwen3,0.7,True,Given,Y,1.0,"""Player 2 must choose B if rational, as A is strictly dominated by B. Choosing Y with B gives Player 1 8 points, which is better than Y with A (7 points). Thus, Y is optimal for Player 1."""
+7,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 should choose A because A gives Player 2 a higher payoff (10) compared to B (5). Since Player 2 is rational, they will choose A, which results in me getting 8 points, maximizing my own payoff."""
+8,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B as it is strictly dominant. Choosing B gives a higher reward regardless of Player 1's choice."""
+9,qwen3,0.7,True,Given,X,1.0,"""Choosing X maximizes my payoff when considering Player 2's rational choice. Since B is strictly dominated by A, Player 2 will choose A. If I choose X, Player 2 will choose A, giving me 8 points."""
+10,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B gives them higher payoff than A. Choosing B gives Player 2 10 points versus 5 points for A. Therefore, Player 2 will choose B, leading to me getting 8 points. Alternatively, if I choose X, Player 2 would choose B as well, resulting in me getting 7 points. Since choosing Y leads to a higher payoff for me (8 vs 7), I will choose Y."""
+11,qwen3,0.7,True,Given,X,1.0,"""Choosing X and expecting Player 2 to choose A, which gives me 8 points. Since Player 2 will choose A, I can get the maximum reward."""
+12,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B as it's strictly dominant, leading to higher payoff for Player 1 (8 points) than choosing A (7 points)."""
+13,qwen3,0.7,True,Given,X,1.0,"""Player 2 should choose A because it's strictly dominant, so choosing X, which gives Player 1 8 points when Player 2 chooses A, which is better than choosing B."""
+14,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 higher payoff (10 points) than A (5 points) regardless of Player 1's choice. Therefore, playing Y leads to a higher payoff for me (8 points) compared to X (7 points)."""
+15,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives Player 2 higher rewards regardless of Player 1's choice. By choosing A, Player 2 maximizes their own payoff. Therefore, Player 1 should choose X to maximize their own payoff when Player 2 chooses A."""
+16,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 a higher payoff (10 points) compared to A (5 points) when Player 1 chooses Y. Therefore, Player 2 will choose B, resulting in me getting 8 points. Choosing Y leads to a higher payoff for me compared to choosing X, which would result in Player 2 choosing B and giving me 7 points."""
+17,qwen3,0.7,True,Given,X,1.0,"""Since Player 2 will choose A as it is strictly dominant, if I choose X, Player 2 will choose A, giving me 8 points."""
+18,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B as it is strictly dominant. Choosing B gives Player 2 a higher payoff than A regardless of Player 1's choice. If Player 1 chooses Y, B gives 10 points vs. A's 5. If Player 1 chooses X, B gives 5 points vs. A's 0. Therefore, Player 2 will choose B, and Player 1 should choose Y to maximize their payoff (8 points)."""
+19,qwen3,0.7,True,Given,X,1.0,"""Player 2 is rational and will choose A because B is strictly dominated by A. Choosing A yields higher rewards for Player 2 regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 points with A and 5 with B. If Player 1 chooses Y, Player 2 gets 5 points with A and 0 with B. Therefore, Player 2 will always choose A. Since Player 1 wants to maximize their own payoff, choosing X gives them 8 points if Player 2 chooses A (which they will), whereas choosing Y gives 7 points. Thus, Player 1 should choose X."""
+20,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B because A is strictly dominated by B. Choosing B yields higher points for Player 2 regardless of Player 1's action. If Player 1 chooses Y, Player 2 gets 10 points with B vs 5 with A. If Player 1 chooses X, Player 2 gets 5 points with B vs 0 with A. Therefore, Player 2 will choose B. Choosing Y gives Player 1 8 points if Player 2 chooses B, which is the best outcome for Player 1."""
+21,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant over B, leading to me getting 8 points and Player 2 getting 10 points."""
+22,qwen3,0.7,True,Given,Y,1.0,"""Y is the action that maximizes my payoff if Player 2 chooses B, which is their rational choice. Since B strictly dominates A for Player 2, they will always choose B, leading to me receiving 8 points."""
+23,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives them a higher payoff regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 points with A vs 5 with B. If Player 1 chooses Y, Player 2 gets 5 points with A vs 0 with B. Thus, Player 2 will choose A, so Player 1 should choose X to maximize their payoff of 8."""
+24,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 10 points if I choose Y, which is higher than the 5 points they get if they choose A. Therefore, Player 2 will select B, leading me to receive 8 points."""
+25,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A since it is strictly dominant. For Player 1, choosing X gives a higher payoff when Player 2 chooses A (8 points vs 7 points if Player 2 chooses B). Therefore, X is the optimal choice for maximizing payoff."""
+26,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 should choose B since B strictly dominates A. Choosing B gives Player 2 higher payoff (10 vs 5). So, 2 will choose B. Therefore, I can get 8 points."""
+27,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives a higher payoff than B regardless of Player 1's choice. Choosing A yields 10 or 5 points, while B yields 5 or 0. Thus, Player 2's optimal choice is A, so Player 1 should choose X to maximize their payoff."""
+28,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B since it's strictly dominant. Choosing B maximizes their reward regardless of Player 1's choice. If Player 1 chooses Y, Player 2 gets 10 with B, which is more than 5 with A. If Player 1 chooses X, Player 2 gets 5 with B or 0 with A. Since B is strictly dominant, Player 2 will rationally choose B. Therefore, choosing Y as Player 1 maximizes my payoff when Player 2 chooses B, resulting in 8 points."""
+29,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives higher rewards for Player 2 than choosing B regardless of Player 1's choice. Therefore, selecting A maximizes Player 2's reward, so Player 1 should choose X to get 8 points, which is better than choosing Y."""
+30,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B because it is strictly dominant. Choosing B gives a higher reward than A regardless of Player 1's choice. If Player 1 chooses Y, Player 2 gets 10 with B vs 5 with A. If Player 1 chooses X, Player 2 gets 5 with B vs 0 with A. Thus, Player 2 will pick B. Choosing Y maximizes my payoff if Player 2 picks B, which they will."""
+1,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X and anticipating Player 2's optimal response. If Player 2 chooses A, they get 10 points; if they choose B, they get 5. Since 10 > 5, Player 2 will choose A. Thus, choosing X leads to Player 1 receiving 8 points, which is better than choosing Y, which would lead to Player 1 receiving 7 or 8 points depending on Player 2's choice."""
+2,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff compared to X when considering Player 2's optimal response. Since A is strictly dominated by B, Player 2 will choose B, giving Player 1 8 points, which is better than choosing X which would result in Player 2 getting 5 points."""
+3,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will choose A to maximize their reward as A gives Player 2 10 points compared to B's 5. Choosing A is optimal. However, if I choose Y, Player 2 would choose B to maximize their reward as B gives 0 points to Player 2, but since B is strictly dominated by A, Player 2 would choose A for 5 points. Wait, there's conflicting information here. Let me clarify. If Player 1 chooses Y, then for Player 2, choosing A gives 5, choosing B gives 0. So Player 2 should choose A. But the rule says B is strictly dominated by A, which implies Player 2 should choose A over B. So if I choose Y, Player 2 chooses A, resulting in 7 points for me. But if I choose X, Player 2 chooses A, giving me 8 points. So as Player 1, I should choose X to get 8 points. Hence, my optimal choice is X."""
+4,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2 should choose B because it's strictly dominant over A, which means B provides a higher payoff regardless of Player 1's choice."""
+5,qwen3,0.7,True,Explicit,X,1.0,"""The game rules indicate that Player 1 should choose X as it leads to higher points than Y in most scenarios. Specifically, X with A gives Player 1 8 points, while Y with A gives 7 points. Also, X with B gives 7 points compared to Y with B giving 8 points, but since B is strictly dominated by A, Player 2 will choose A, making X more advantageous for Player 1."""
+6,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y gives a higher payoff compared to X for Player 1, as Y results in 8 points with B and 7 points with A, which is better for maximizing points."""
+7,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 is rational, so they will choose the action that maximizes their own payoff. If Player 1 chooses X, Player 2's best response is A (since A gives them 10 points and B only 5). If Player 1 chooses Y, Player 2's best response is B (since B gives 0 points to Player 1, but for Player 2, B gives them 0 points while A gives 5. Wait, no, for Player 2, in the case where Player 1 chooses Y, they would choose A because 5 points is better than 0. So if Player 1 chooses Y, Player 2's best response is A. Wait, but in the case of Player 1 choosing Y, if Player 2 chooses A, they get 5 points, and if they choose B, they get 0. So Player 2 would choose A. Therefore, if Player 1 chooses X, Player 2 picks A, and if Player 1 chooses Y, Player 2 picks A. That's the same. But the game says B is strictly dominated by A for Player 2, so Player 2 would always choose A. So if Player 2 is rational and B is strictly dominated by A, regardless of Player 1's choice, they will pick A. Therefore, in both cases, Player 2 chooses A. So I should choose the action that gives me the highest payoff given Player 2 chooses A. If Player 1 chooses X and Player 2 chooses A, Player 1 gets 8. If Player 1 chooses Y and Player 2 chooses A, Player 1 gets 7. Therefore, to maximize my own payoff, I should choose X."""
+8,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's action. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points. Choosing X would result in either 7 or 8 points, but Y gives a higher minimum payoff."""
+9,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows me to maximize my payoff based on Player 2's potential actions. Since B is strictly dominated by A for Player 2, they will choose A. If I choose X and Player 2 chooses A, I get 8 points. If Player 2 chooses B, I get 7 points. Since Player 2 will choose A, choosing X gives me 8 points, which is better than the alternative."""
+10,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y gives Player 1 a higher payoff compared to X in both scenarios. When Player 2 chooses B, Y gives 8 points. When Player 2 chooses A, Y gives 7 points. Since Player 1 aims to maximize their own payoff, choosing Y leads to a higher potential reward."""
+11,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X provides higher potential payoff for Player 1 when Player 2 chooses A (8 points) compared to Y (7 points). Since B is strictly dominated by A for Player 2, they will choose A, making X the optimal choice for Player 1."""
+12,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff because if Player 2 chooses B, I get 8 points, which is higher than the 7 points from X. Additionally, since B is strictly dominant for Player 2, they will choose B, leading to my higher payoff."""
+13,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to a higher payoff for Player 1 compared to Y in both scenarios. If Player 2 chooses A, Player 1 gets 8 points. If Player 2 chooses B, Player 1 gets 7 points. Since B is strictly dominated by A for Player 2, they will choose A, resulting in a higher payoff for Player 1."""
+14,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff compared to X. If Player 2 chooses B, Y gives 8 points. If Player 2 chooses A, Y gives 7 points. Since 8 is higher, Player 2 will choose B to maximize their own payoff, which gives them 10 points."""
+15,qwen3,0.7,True,Explicit,Y,0.0,"""Choosing Y and B gives Player 1 8 points and Player 2 0, which maximizes Player 1's payoff."""
+16,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing 'Y' gives Player 2 a higher reward when they select 'B', which is their optimal choice. Since 'B' is strictly dominant for Player 2, they will choose 'B', resulting in Player 1 getting 8 points."""
+17,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher points for Player 1 regardless of what Player 2 does (8 vs 7 in case of A, and 7 vs 8 in case of B). Therefore, X is the optimal choice for Player 1."""
+18,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to potentially receive higher points if Player 2 chooses B, which is 8 points for me, but since A is strictly dominated by B, Player 2 will choose B, leading to me getting 8 points."""
+19,qwen3,0.7,True,Explicit,Y,0.0,"""Because selecting Y leads to a higher payoff for Player 1 when Player 2 chooses B, which is the optimal choice for Player 2."""
+20,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2 should choose B because it yields a higher payoff for them (10 points) compared to A (5 points) regardless of Player 1's choice. Since B is strictly dominant over A, Player 2 will choose B to maximize their reward."""
+21,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to a higher payoff for Player 1 compared to Y in both scenarios, as X yields 8 points when Player 2 chooses A and 7 points when they choose B, while Y yields 7 and 8 points respectively. However, since B is strictly dominated by A for Player 2, they will choose A, making X the optimal choice for Player 1 as it gives 8 points."""
+22,qwen3,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2 will choose B because it yields a higher payoff for them (10 points vs. 5 points). This makes me receive 8 points. Choosing Y maximizes my payoff compared to X, which would lead to Player 2 choosing A and me getting 8 points as well. Since both options result in 8 points for me, but Y gives Player 2 a higher payoff, I prefer Y to maximize my own payoff."""
+23,qwen3,0.7,True,Explicit,Y,0.0,"""Choosing Y leads to higher payoff when considering Player 2's best responses. If Player 1 chooses Y, Player 2's optimal action is B (since it gives Player 2 0 points, which is worse than A's 5 points, but since B is strictly dominant, Player 2 should choose B. However, choosing Y results in a higher payoff for Player 1 compared to X, even when considering Player 2's best response."""
+24,qwen3,0.7,True,Explicit,Y,1.0,"""Because choosing Y leads to higher payoffs for me when Player 2 chooses B, which is the optimal choice for Player 2."""
+25,qwen3,0.7,True,Explicit,X,1.0,"""Based on the game rules, if I choose X, Player 2's best response is to choose A, which gives them 10 points, which is higher than choosing B (5 points). Therefore, choosing X leads to a higher payoff for Player 2, so I should choose X to maximize my own payoff."""
+26,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to gain more points if Player 2 chooses B, and even if they choose A, I still get a decent 7 points. Since B is strictly dominant for Player 2, they will choose B, which gives me 8 points."""
+27,qwen3,0.7,True,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing A gives them a higher payoff than B in both cases. Therefore, if I choose X, Player 2 will choose A, giving me 8 points."""
+28,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to potentially receive higher points if Player 2 chooses B, which gives me 8 points compared to 7 if they choose A. Since Player 2's choice of B is rational, I should choose Y to maximize my payoff."""
+29,qwen3,0.7,True,Explicit,Y,0.0,"""If I choose Y, Player 2 will choose A because it gives them 5 points, which is better than choosing B, which gives them 0 points. Choosing Y results in a higher reward for Player 2 if they pick A, so they will choose A, resulting in me getting 7 points. Choosing X leads Player 2 to choose B, resulting in me getting 7 points as well. However, choosing Y ensures Player 2's optimal action is A, and I have a higher chance of maximizing my payoff, so I choose Y."""
+30,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my payoff because when Player 2 selects B, I get 8 points, which is higher than the 7 points I would get if Player 2 chooses A. Since Player 2 will choose B to maximize their own reward, I should choose Y to maximize my own payoff."""
+1,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to a higher payoff for Player 1 compared to Y in both cases. When Player 2 chooses B, Player 1 gets 8 points. When Player 2 chooses A, Player 1 also gets 7 or 8 points, which is better than Y's 7 or 8 points. However, since Player 2's optimal choice depends on their own rewards, I need to consider what Player 2 would choose to maximize their own reward. If Player 1 chooses X, Player 2 would choose A to get 10 points, which is better than B's 5 points. If Player 1 chooses Y, Player 2 would choose B to get 0 points, which is better than A's 5 points. Given that, choosing X results in Player 2 choosing A, giving Player 1 8 points. Choosing Y leads Player 2 to choose B, giving Player 1 8 points as well. Therefore, both X and Y result in 8 points for Player 1, so I will choose X as it might lead to a better outcome for Player 2's choice."""
+2,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 8 points. If they choose A, I get 7 points. Since 8 is higher than 7, I prefer Y."""
+3,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose B because that gives them 5 points, which is better than choosing A which gives them 10 points. However, since the goal is to maximize my own payoff, I need to consider which choice leads to a higher reward for me. Choosing X means I get either 8 or 7 points. Choosing Y means I get either 7 or 8 points. Since both choices lead to the same maximum points, I choose X for consistency."""
+4,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher payoff for Player 1 when Player 2 chooses B, which is more beneficial for Player 2 as well. Player 2 would therefore choose B to maximize their own reward."""
+5,qwen3,0.7,True,Implicit,X,1.0,"""When I choose X, Player 2's best response is B, which gives Player 2 5 points, while choosing A would only give them 10 points. However, Player 2's choice of B would result in me getting 7 points, which is less than if they choose A. Therefore, choosing X leads to a lower payoff for me. Alternatively, choosing Y leads to Player 2 choosing B, which gives Player 2 0 points, so Player 2 would prefer A, which would give them 5 points. However, Player 2's choice of A would result in me getting 7 points, which is better than if they choose B. Therefore, choosing Y gives me a higher payoff of 7 points, making it the better choice."""
+6,qwen3,0.7,True,Implicit,Y,1.0,"""Player 2 will choose B if I choose Y, as it gives Player 2 the highest reward of 10 points. However, if Player 1 chooses Y, choosing B gives Player 1 8 points, which is slightly less than the 7 points from choosing A. So, if I choose Y, Player 2's optimal choice is B, leading to a higher payoff for me, which is the reason I choose Y."""
+7,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose B to maximize their reward. If they choose B, they gain 5 points, which is higher than choosing A which would give them 10 points. Wait, no, actually if I choose X, Player 2 gets 10 points if they choose A and 5 if they choose B. Wait, no! The rule says if I choose X and Player 2 chooses A, Player 2 gets 10 points. If Player 2 chooses B, they get 5 points. So Player 2 would choose A to maximize their reward. But I need to choose my own action to maximize my own payoff. Wait, this is confusing, maybe I should think about it again."""
+8,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my potential payoff. If Player 2 chooses B, I get 8 points. If they choose A, I get 7. Since 8 is higher than 7, I prefer Player 2 to choose B to get the higher reward. However, if Player 2 is rational, they would aim to maximize their own points. If I choose Y, Player 2's best response is to choose B, as that gives them 10 points, which is higher than the 5 points they get if they choose A. Therefore, choosing Y leads to a higher payoff for me, as Player 2 will respond optimally by choosing B."""
+9,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2's best response is B because choosing B gives Player 2 a higher reward (5 points) compared to choosing A (10 points). However, if Player 2 chooses B, I receive 7 points, which is less than if they choose A (8 points). But since my goal is to maximize my own payoff, I would choose X because it offers a higher potential reward if Player 2 chooses A, even though Player 2 might choose B to maximize their own reward."""
+10,qwen3,0.7,True,Implicit,Y,1.0,"""Player 1 choosing Y results in higher points if Player 2 chooses B, which is 8 points for Player 1. Since Player 2 will aim to maximize their own reward, they would choose A to get 5 points, but if Player 1 chooses Y, Player 2's best choice is B because it gives them 10 points, which is higher than A's 5 points. Thus, choosing Y is optimal as it leads to a higher payoff for Player 1 when Player 2 selects B."""
+11,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose B, as it gives them 5 points, which is better than choosing A which gives them 10 points. However, choosing B for Player 2 results in me getting 7 points, which is better than if they choose A where I get 8. But since I want to maximize my own payoff, I should consider what Player 2 will do. If they choose B, I get 7 points. If they choose A, I get 8 points. Since Player 2 would choose B to maximize their own points, I should assume they will choose B, resulting in me getting 7 points. However, I can choose Y to maximize my points in case Player 2 chooses B, which gives me 8 points. Therefore, choosing Y is better for me as it allows me to get 8 points if Player 2 chooses B. So I choose Y."""
+12,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures that Player 2 will select B, resulting in 8 points for me and 10 points for Player 2. This maximizes my payoff compared to if they choose A, which would give me 7 points."""
+13,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher points for me if Player 2 chooses A, but if Player 2 chooses B, I get fewer points. However, since Player 2's optimal choice depends on their own payoff, I need to predict their best move. If Player 2 is rational, they will choose the action that maximizes their own payoff. If I choose X, Player 2 will choose A because that gives them more points (10) than B (5). So, choosing X results in me getting 8 points, which is better than choosing Y which might lead to lower points if Player 2 chooses B."""
+14,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher points for Player 1 when Player 2 chooses B, and if Player 2 chooses A, Player 1 still gets 7 points which is better than the 8 points when Player 2 chooses A for X. Since Player 2 will choose B to maximize their reward, Y is the optimal choice."""
+15,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2's best response is A because it gives Player 2 10 points, which is higher than choosing B (5 points). However, choosing X results in me getting 8 points if Player 2 chooses A, but 7 points if they choose B. Since Player 2 will choose A to maximize their own reward, I should choose X to maximize my own payoff, assuming Player 2 acts rationally."""
+16,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can maximize their reward by choosing B, giving them 10 points. Since Player 2 would prefer 10 over 5, they will choose B. Choosing Y leads to a higher reward for Player 2. Therefore, I choose Y to maximize my own payoff."""
+17,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher points for me if Player 2 chooses A (8 vs 7) and also if Player 2 chooses B (7 vs 5). However, Player 2's optimal choice depends on their own payoff, not mine. If I choose X, Player 2 will choose A (10) or B (5) based on which gives them more points. Since Player 2 gets 10 for choosing A when I pick X, they will choose A, resulting in me getting 8 points. Choosing Y would lead to Player 2 choosing B, giving them 5 points, but if I choose Y, Player 2 would choose A for 5 points, leading to a lower payoff for them than choosing B. Therefore, choosing X results in a better outcome for me since I get 8 points."""
+18,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to a higher point total for Player 1 in both scenarios. If Player 2 chooses B, Player 1 gets 8 points. If Player 2 chooses A, Player 1 gets 7 points. Since 8 is higher than 7, Player 1 should choose Y to maximize their payoff regardless of Player 2's choice."""
+19,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 would choose B to maximize their own reward. However, since my goal is to maximize my own payoff, I should consider what action would benefit me the most regardless of Player 2's choice."""
+20,qwen3,0.7,True,Implicit,Y,1.0,"""Player 2 will choose B if I choose Y, as it gives them 10 points. However, if I choose Y, it's better for Player 2 to choose A to get 5 points, which is better than B's 10? Wait, no, wait. If I choose Y, then Player 2 gets 10 points for B and 5 for A. So Player 2 will choose B, maximizing their reward. But if I choose X, Player 2 gets 5 for B and 0 for A, so they will choose B again. Wait, but if Player 2 chooses B when I choose X, they get 5 points, which is better than 0. Hence, regardless of my choice, Player 2 chooses B. Then, as Player 1, choosing Y gives me 8 points when Player 2 chooses B, which is better than X's 7 points. Hence, I choose Y."""
+21,qwen3,0.7,True,Implicit,X,1.0,"""Player 2's best response to X is A because it gives them 10 points, which is higher than B's 5 points. Choosing A maximizes their reward. However, since I am Player 1, I must consider Player 2's best response. If Player 2 chooses A, I get 8 points. If Player 2 chooses B, I get 7. Since Player 2 will choose A, I should choose X to maximize my own payoff considering their rational decision."""
+22,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives Player 1 higher points (8) compared to X (7) when Player 2 chooses B. Even though Player 2 might choose A, the potential payoff for Player 1 when Player 2 chooses B is higher."""
+23,qwen3,0.7,True,Implicit,X,1.0,"""Player 2 would choose B because it gives them 5 points, which is better than choosing A which gives them 10 points. Wait, no, if Player 1 chose X, then Player 2's options are A (10 points) or B (5 points). So Player 2 would choose A for the higher reward. However, if Player 1 chose Y, then Player 2's options are A (5 points) or B (0 points), so Player 2 would choose A. Therefore, regardless of Player 1's choice, Player 2 would choose A. But this seems conflicting with the first analysis. Let me recheck the game rules. If Player 1 chooses X, Player 2 gets 10 for A and 5 for B. So Player 2 would choose A. If Player 1 chooses Y, Player 2 gets 5 for A and 0 for B, so Player 2 would still choose A. Thus, Player 2's optimal choice is always A. Therefore, as Player 1, I should choose X, which gives me 8 points if Player 2 chooses A, or 7 if Player 2 chooses B. Wait, but if Player 2 is always choosing A, then I should choose X for the higher payoff of 8. So my optimal choice is X."""
+24,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff considering Player 2's potential responses. If I choose Y, Player 2's best response is B (which gives them 10 points) compared to A (5 points). However, if I choose Y and Player 2 chooses B, I get 8 points, which is better than if Player 2 chooses A (7 points). Therefore, choosing Y leads to a higher payoff for me than choosing X, which would give me 7 or 8 points depending on Player 2's action."""
+25,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2's best response is to choose B, which gives Player 2 5 points. However, since Player 2 is trying to maximize their own payoff, they would prefer to choose A, which gives them 10 points. Wait, there seems to be a mistake in the explanation. Let me re-evaluate."""
+26,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2's best response is B, which gives them 10 points. Since Player 2 will choose B, I should choose Y to maximize my payoff of 8 points."""
+27,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 can either choose A or B. If Player 2 chooses A, they get 10 points; if they choose B, they get 5 points. Since 10 is higher than 5, Player 2 should choose A to maximize their reward. However, if Player 2 chooses A, I get 8 points, but if they choose B, I get 7 points. Since Player 2 will choose A to maximize their points, I should choose X and expect Player 2 to choose A, giving me 8 points."""
+28,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y because if Player 2 chooses B, it gives Player 1 the highest reward of 8 points, and Player 2 would choose B to maximize their reward as well, leading to a mutual benefit."""
+29,qwen3,0.7,True,Implicit,X,1.0,"""I choose X because it provides a higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, I get 8 points. If Player 2 chooses B, I get 7 points. Compared to Y, which gives 7 points for A and 8 points for B, X provides the same or better points in both scenarios."""
+30,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher payoff for Player 1 in both scenarios, as selecting Y results in either 8 or 7 points compared to X which gives 7 or 8 points. However, selecting Y results in Player 2 receiving more points (10 or 5) compared to X (5 or 0). Since Player 2 aims to maximize their own reward, they would choose B when I choose Y, as it gives them more points. However, if I choose Y, Player 2's optimal choice is B, which gives them 10 points, making it better for them than A. Therefore, choosing Y gives me a higher potential payoff in the best case, even if it means Player 2 gets more points."""
diff --git a/data/ring/ring.1.c.False.csv b/data/ring/ring.1.c.False.csv
index d6ad4e4..74160a5 100644
--- a/data/ring/ring.1.c.False.csv
+++ b/data/ring/ring.1.c.False.csv
@@ -629,3 +629,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
28,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As a rational player, I aim to maximize my own payoff. In this case, if I choose 'Y' and Player 2 chooses 'B', I receive 6 points, which is the highest possible payoff for when Player 2 chooses 'B'. If Player 2 chooses 'A', then choosing 'Y' still results in a better outcome (5 points) compared to choosing 'X' (0 points). Therefore, regardless of Player 2's choice, choosing 'Y' maximizes my own payoff."""
29,mixtral:8x7b,0.7,False,Implicit,X,1.0,"""As Player 1, I want to maximize my points. If Player 2 chooses A, X gives me 6 points, which is better than the 0 points I'd get for choosing Y. If Player 2 chooses B, X still gives me 5 points, which is equal to what I'd get for choosing Y. Therefore, regardless of Player 2's choice, choosing X will give me at least as many points as choosing Y, so I should choose X."""
30,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As Player 1, my goal is to maximize my points. If I choose Y and Player 2 chooses A, we both get the same number of points (5). However, if I choose Y and Player 2 chooses B, I receive more points (6) than Player 2 (10 > 6). Therefore, I should choose Y to increase my chances of getting more points than Player 2."""
+1,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (6 points) compared to choosing Y which would give me 0 points."""
+2,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is choosing B, choosing Y gives me 6 points, which is higher than choosing X which would give me 0 points."""
+3,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is rational), choosing X will result in Player 1 getting 6 points, which is higher than choosing Y which would result in 0 points."""
+4,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, choosing Y leads to a higher payoff for me (6 points) compared to choosing X, which would result in 0 points."""
+5,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), we look at the outcomes for Player 1 when choosing X or Y. Choosing X gives Player 1 6 points when Player 2 chooses A, while choosing Y gives 0 points under the same condition. Therefore, Player 1 should choose X to maximize their payoff."""
+6,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and chooses B, choosing Y leads to a payoff of 6 for me, which is better than choosing X which would give me 0 points."""
+7,qwen3,0.7,False,Given,X,1.0,"""Player 2 is rational and will choose A. If I choose X, I get 6 points. If I choose Y, I get 0 points. Therefore, I should choose X to maximize my payoff."""
+8,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (6 points) compared to choosing X which would result in 0 points."""
+9,qwen3,0.7,False,Given,X,1.0,"""Player 2 will choose A as it is strictly dominant for her. If I choose X, I get 6 points when Player 2 chooses A. If I choose Y, I get 0 points when Player 2 chooses A. Therefore, choosing X gives me a higher payoff than Y."""
+10,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y gives me 6 points, which is better than choosing X which gives me 0 points in this scenario."""
+11,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), choosing X leads to a higher payoff for me compared to Y. If I choose X, I get 6 points when Player 2 chooses A, whereas if I choose Y, I get 0 points. Therefore, X is the better choice."""
+12,qwen3,0.7,False,Given,Y,1.0,"""Player 2 is rational and will choose B, so choosing Y leads to me getting 6 points, which is better than choosing X which would give me 0 points if Player 2 chooses B."""
+13,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, I should choose X to maximize my payoff. Choosing X results in 6 points when Player 2 chooses A, which is better than choosing Y which results in 0 points."""
+14,qwen3,0.7,False,Given,Y,1.0,"""If Player 2 chooses B (as they must be rational), choosing Y gives me 6 points, which is better than X which gives 0. So I choose Y."""
+15,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (6 points) compared to choosing Y which gives 0 points."""
+16,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y gives me 6 points, which is better than choosing X which would result in 0 points."""
+17,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X results in 6 points for me, which is higher than choosing Y which would result in 0 points."""
+18,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y results in 6 points for me, which is better than choosing X which would result in 0 points."""
+19,qwen3,0.7,False,Given,X,1.0,"""If Player 2 is rational and chooses A, then Player 1 should choose X to maximize payoff. Choosing X gives Player 1 6 points when Player 2 chooses A, which is better than choosing Y which gives 0 points in that case."""
+20,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me than choosing X. If I choose Y, I get 6 points; if I choose X, I get 0 points."""
+21,qwen3,0.7,False,Given,X,1.0,"""Player 2 is rational and will choose A. If I choose X, I get 6 points. If I choose Y, I get 0 points. Therefore, choosing X maximizes my payoff."""
+22,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (6 points) compared to choosing X (0 points)."""
+23,qwen3,0.7,False,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. If Player 2 chooses A, Player 1 should choose X to get 6 points instead of Y which gives 0 points."""
+24,qwen3,0.7,False,Given,Y,1.0,"""Player 2 must choose B, so if I choose Y, I get 6 points, which is higher than if I choose X and get 0 points."""
+25,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X leads to a higher payoff for me (6 points) compared to choosing Y which would result in 0 points."""
+26,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me compared to X. If I choose Y, I get 6 points; if I choose X, I get 0 points. Therefore, Y is the better choice."""
+27,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), Player 1 should choose X to maximize their own payoff. Choosing X when Player 2 chooses A gives Player 1 6 points, which is higher than choosing Y which would result in 0 points."""
+28,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y results in 6 points for me, which is better than choosing X which would result in 0 points."""
+29,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X will result in Player 1 receiving 6 points, which is higher than the 0 points from choosing Y. Therefore, Player 1 should choose X to maximize their payoff."""
+30,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 will choose B (as it is strictly dominant), if I choose Y, I get 6 points. If I choose X, I get 0 points. Therefore, choosing Y maximizes my payoff."""
+1,qwen3,0.7,False,Explicit,X,1.0,"""Player 1's payoff for choosing X is higher than for Y, regardless of Player 2's choice. Choosing X ensures a maximum payoff of 6 or 5, while Y gives 0 or 10. Since Player 2 will choose A (strictly dominant), Player 1 should choose X to maximize points."""
+2,qwen3,0.7,False,Explicit,Y,1.0,"""Player 1 should choose Y because it leads to higher payoffs in both scenarios compared to X."""
+3,qwen3,0.7,False,Explicit,X,1.0,"""B is strictly dominated by A, so Player 2 will choose A. Choosing X when Player 2 chooses A gives a higher payoff for Player 1 (6 points) compared to choosing Y (0 points)."""
+4,qwen3,0.7,False,Explicit,Y,1.0,"""since A is strictly dominated by B, I should choose Y to maximize my payoff."""
+5,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X leads to a higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, X gives 6 points vs Y's 0. If Player 2 chooses B, X gives 5 points vs Y's 10. Wait, this seems conflicting. Let me recheck."""
+6,qwen3,0.7,False,Explicit,Y,1.0,"""If Player 2 chooses B, Player 1 gets 6 points. If Player 2 chooses A, Player 1 gets 5 points. Choosing Y yields at least 5 points regardless of Player 2's choice. Choosing X could result in 10 points if Player 2 chooses A but 0 points if Player 2 chooses B. Since Player 2's choice of A is not strictly dominated by B, and without knowing Player 2's strategy, I choose Y to maximize the minimum payoff."""
+7,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will always choose A. Therefore, choosing X leads to a higher payoff for Player 1 compared to Y. If Player 2 chooses A, Player 1 gets 6 points with X versus 0 points with Y."""
+8,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, I should choose Y because it leads to higher payoff for Player 1 when Player 2 chooses B, which is the dominant strategy for Player 2."""
+9,qwen3,0.7,False,Explicit,X,1.0,"""since B is strictly dominated by A, player 2 will choose A. choosing X when player 2 chooses A gives player 1 6 points, which is better than choosing Y which gives 0 points. therefore, player 1 should choose X."""
+10,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but I risk getting 0 points if they choose B. Since A is strictly dominated by B, I will choose Y to maximize my payoff."""
+11,qwen3,0.7,False,Explicit,X,1.0,"""Player 2 is expected to choose A because B is strictly dominated by A. Choosing X results in higher payoff compared to Y when Player 2 selects A."""
+12,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 6 points, which is better than choosing X and getting 0 points."""
+13,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives Player 1 6 points, which is better than choosing Y which gives 0 points."""
+14,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives Player 1 6 points, which is higher than choosing X which would result in 0 points."""
+15,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X gives me a higher payoff than Y regardless of what Player 2 does. If Player 2 chooses A, I get 6 points with X vs 0 with Y. If Player 2 chooses B, I get 5 points with X vs 10 with Y? Wait, that seems conflicting. Let me recheck. Oh wait, no, if Player 2 chooses B, I get 5 with X and 10 with Y. So Y gives higher payoff if Player 2 chooses B. So X is not strictly dominant. Hmm, maybe I need to re-evaluate. But the problem states that B is strictly dominated by A. So Player 2 will choose A. Therefore, I should choose X, since if Player 2 chooses A, which they will, I get 6 with X and 0 with Y. So I choose X."""
+16,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y yields a higher payoff than X when considering the potential actions of Player 2."""
+17,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X leads to higher points for me compared to Y. If Player 2 chooses A, X gives 6 points while Y gives 0. If Player 2 chooses B, X gives 5 points while Y gives 10. However, since B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff."""
+18,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y is better because it leads to higher payoff compared to X. However, the exact reasoning depends on the expected actions of Player 2."""
+19,qwen3,0.7,False,Explicit,Y,0.0,"""Y gives higher payoff if Player 2 chooses B, and since B is strictly dominated by A, Player 2 will choose A, so Y is better than X as it gives 0 vs 5 when Player 2 chooses A, but wait, if Player 2 chooses A, Y gives 0 to Player 1 while X gives 6. So I think my initial reasoning is wrong. Wait, let me re-evaluate."""
+20,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y leads to higher payoff than X regardless of Player 2's choice. If Player 2 chooses B, Y gives 6 vs X's 0. If Player 2 chooses A, Y gives 5 vs X's 10. Wait, this seems contradictory. Maybe I made a mistake."""
+21,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6; if they choose B, I get 5. If I choose Y, I get 0 or 10. Since Player 2 might choose A (as B is strictly dominated), X is safer and gives higher payoff."""
+22,qwen3,0.7,False,Explicit,Y,1.0,"""If I choose Y, Player 2 has an incentive to choose B, which gives me 6 points. Since A is strictly dominated by B for Player 2, they will choose B, resulting in a higher payoff for me compared to choosing X."""
+23,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives me 6 points, which is better than choosing Y which gives me 0 points. Therefore, I should choose X."""
+24,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B yields 6 points, which is better than choosing X which gives 0 points."""
+25,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6, and if they choose B, I get 5. Choosing Y gives me 0 or 10, which is less predictable. Since B is strictly dominated by A, Player 2 will choose A, so I should pick X to get 6."""
+26,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y is better than X because if Player 2 chooses B, Y gives 6 points while X gives 0. If Player 2 chooses A, Y gives 5 points while X gives 10. However, since A is strictly dominated by B, Player 2 will choose B, so Y is the better choice."""
+27,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff, as choosing X with A gives 6 points, which is higher than choosing Y with A which gives 0 points."""
+28,qwen3,0.7,False,Explicit,Y,1.0,"""Player 2's choice of B gives Player 1 a higher payoff (6) compared to A (5). Therefore, choosing Y maximizes my payoff when Player 2 selects B. Since B is strictly dominated by A for Player 2, they will choose A, making Y the optimal choice for me."""
+29,qwen3,0.7,False,Explicit,X,1.0,"""Player 1's payoff from X is higher in both cases, compared to Y. If Player 2 chooses A, X gives 6 instead of 0. If Player 2 chooses B, X gives 5 instead of 10. Wait, that seems contradictory. Let me recheck."""
+30,qwen3,0.7,False,Explicit,Y,1.0,"""Choosing Y leads to a higher payoff than X regardless of Player 2's choice. If Player 2 chooses B, Y gives 6 points vs X's 0. If Player 2 chooses A, Y gives 5 points vs X's 10. Wait, but the latter seems contradictory. Wait, actually, if Player 2's choice is A, then Y gives 5 points to Player 1, while X gives 10 points. So if Player 2 chooses A, X is better for Player 1. However, since A is strictly dominated by B for Player 2, we can assume Player 2 will choose B. Hence, Player 1 should choose Y to maximize points, as Y gives 6 points versus X's 0 when Player 2 chooses B. Therefore, the optimal choice is Y."""
+1,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6 points; if they choose B, I get 5 points. Choosing Y would only give me 0 or 10 points, which is less consistent."""
+2,qwen3,0.7,False,Implicit,Y,1.0,""" Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. In contrast, choosing X gives me 10 points only if Player 2 chooses A, but 0 points if they choose B. Since I cannot predict Player 2's move, I choose Y to ensure a higher minimum payoff of 5 points compared to X's minimum of 0 points. """
+3,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff if I assume Player 2 will choose A or B. If Player 2 chooses A, I get 6 points; if they choose B, I get 5 points. Choosing Y gives me 0 or 10 points, which is less predictable and potentially lower if Player 2 chooses A."""
+4,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Comparing to choosing X, if Player 2 chooses B, I get 0 points; if they choose A, I get 10 points. Since I don't know Player 2's choice, I should choose Y to ensure a higher minimum payoff of 5 compared to X's minimum of 0."""
+5,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which is the highest possible payoff for me. However, if Player 2 chooses B, my payoff is lower. But since I don't know Player 2's choice, I have to assume they might choose A, which gives me the highest payoff."""
+6,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice."""
+7,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6 points, and if they choose B, I get 5 points. Choosing Y could result in 0 points if Player 2 chooses A, which is worse. So, X is better."""
+8,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff in the scenario where Player 2's choice is uncertain. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Compared to X, which could result in 0 or 10 points, Y offers a more predictable and higher minimum payoff (5 vs. 0)."""
+9,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher payoff compared to Y, assuming Player 2's choice is A or B."""
+10,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y leads to a higher payoff than X, regardless of Player 2's choice. If Player 2 chooses A, both get 5 points; if Player 2 chooses B, Player 1 gets 6 points while Player 2 gets 10. Choosing Y maximizes my potential payoff."""
+11,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X ensures a higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, X gives 6 vs Y's 0. If Player 2 chooses B, X gives 5 vs Y's 10. However, since Player 2's choice is unknown, I consider the expected payoff. Assuming Player 2 might choose A or B with equal probability, the expected payoff for X is (6+5)/2 = 5.5, while for Y it's (0+10)/2 = 5. Thus, X is more profitable on average."""
+12,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points. If Player 2 chooses A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but I would get 0 if Player 2 chooses B. Since I can't predict Player 2's choice, selecting Y gives me a better minimum outcome."""
+13,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to a higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, X gives 6 points; if Player 2 chooses B, X gives 5 points. In comparison, Y gives 0 or 10 points, making X the more rational choice."""
+14,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but 0 if they choose B. Since Player 2's choice is uncertain, Y is the safer and more consistent option for maximizing my own payoff."""
+15,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 6 points. If they choose B, I get 5 points. Choosing Y could result in either 0 or 10 points, which is less predictable and risky."""
+16,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points, and if they choose A, I get 5 points. While choosing X could lead to higher points (10) if Player 2 chooses A, there's a risk of getting 0 if Player 2 chooses B. Since I can't predict Player 2's action, I choose Y to ensure a guaranteed minimum payoff of 5, which is better than the potential 0 from X."""
+17,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A, which is the best outcome for me."""
+18,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff when considering the potential actions of Player 2. If Player 2 chooses B, I get 6 points. If Player 2 chooses A, I get 5 points. Considering the possible choices of Player 2, choosing Y gives me a higher payoff than X, which would only give me 0 or 10 points depending on Player 2's choice. However, since I don't know Player 2's choice, I need to consider the best possible outcome for me."""
+19,qwen3,0.7,False,Implicit,X,1.0,"""If I choose X, the best outcome for me is when Player 2 chooses B, which gives me 5 points. However, if Player 2 chooses A, I get 6 points. Since I cannot predict Player 2's move, I choose X as it offers a higher minimum payoff compared to Y."""
+20,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but 0 points if they choose B."""
+21,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X maximizes my own payoff when considering the possible responses from Player 2. If Player 2 chooses A, I get 6 points; if they choose B, I get 5 points. Compared to choosing Y, which gives 0 or 10 points, X offers more consistent points (6 or 5 versus 0 or 10). However, I need to consider that Player 2 might also be rational. If I choose X, Player 2 might choose A to maximize their own payoff, giving me 6 points. If I choose Y, Player 2 might choose B, giving me 10 points. Wait, but if I choose Y, and Player 2 is rational, they will choose B to get 0 points for me, but they get 0 as well. Actually, Player 2 would prefer to maximize their own payoff. Let me re-evaluate. Player 2's payoffs: If Player 1 chooses X, Player 2 gets 10 for A or 5 for B. So Player 2 will choose A if Player 1 chooses X, giving me 6. If I choose Y, Player 2 gets 5 for A or 0 for B. So Player 2 will choose A again, giving me 0. So if I choose X, Player 2 will choose A, giving me 6. If I choose Y, Player 2 will choose A, giving me 0. Therefore, I should choose X to maximize my payoff of 6 over 0."""
+22,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y is more profitable for me as it gives me a higher payoff compared to X in most scenarios."""
+23,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to a higher payoff if Player 2 chooses A, which is likely their rational choice. Since Player 2 would maximize their own payoff by choosing A when Player 1 chooses X, this results in Player 1 getting 6 points."""
+24,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points. If Player 2 chooses A, I get 5 points. Choosing X could result in 10 points if Player 2 chooses A, but if Player 2 chooses B, I get 0 points. Since I can't predict Player 2's choice, I should choose the action that gives the highest minimum payoff. Choosing Y gives me at least 5 points, while choosing X gives me at least 0 points. Therefore, choosing Y is better."""
+25,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X gives me a higher payoff than Y in both scenarios. If Player 2 chooses A, I get 6 points; if they choose B, I get 5 points. Choosing Y results in 0 or 10 points, but since Player 2's choice is unknown, I assume they might choose A, leading to a lower payoff for Y. Thus, X is the safer and more optimal choice."""
+26,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Choosing X gives me 10 points only if Player 2 chooses A, but 0 points if they choose B. Since I don't know Player 2's choice, I prefer Y which guarantees at least 5 points, whereas X risks getting 0."""
+27,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher points for me compared to Y if Player 2 chooses B, and since Player 2's choice may not be predictable, I'll opt for X to maximize my potential payoff."""
+28,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Choosing X would give me 0 or 10 points, which is less predictable and risky."""
+29,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, X gives 6 points while Y gives 0. If Player 2 chooses B, X gives 5 points while Y gives 10 points. Wait, that's not correct. Let me re-evaluate."""
+30,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of what Player 2 does. If Player 2 chooses B, I get 6 points; if Player 2 chooses A, I get 5 points. Choosing X would only give me 10 points if Player 2 chooses A, but 0 points if Player 2 chooses B. Since I don't know what Player 2 will choose, I should choose Y to maximize my minimum payoff."""
diff --git a/data/ring/ring.1.c.True.csv b/data/ring/ring.1.c.True.csv
index 2f57125..ac7b014 100644
--- a/data/ring/ring.1.c.True.csv
+++ b/data/ring/ring.1.c.True.csv
@@ -369,3 +369,93 @@ First, I need to evaluate the possible outcomes for Player 1 based on my choice.
28,deepseek-r1,0.7,True,Implicit,Y,1.0,"""I choose Y because if Player 2 chooses B, I get 6 points. Although they might prefer to get 10 by choosing A, I think they would choose the action that benefits me more."""
29,deepseek-r1,0.7,True,Implicit,X,1.0,"""I choose X because it leads to more points for me when Player 2 chooses B."""
30,deepseek-r1,0.7,True,Implicit,X,0.0,"""I will choose X because if Player 2 chooses B, I get 0 points. But if they choose A, I get 10 points."""
+1,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because it's strictly dominant. This gives me 6 points. Choosing Y would lead to Player 2 choosing A (since it's strictly dominant), resulting in 0 for me. Thus, I should choose X to maximize my payoff."""
+2,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B since B strictly dominates A, giving Player 2 higher payoff. Choosing Y leads to a higher payoff for me compared to X, as choosing X would result in Player 2 choosing A for maximum reward."""
+3,qwen3,0.7,True,Given,Y,0.0,"""Choosing Y leads to a higher payoff if Player 2 chooses B, which is the optimal choice for Player 2 since B is strictly dominated by A."""
+4,qwen3,0.7,True,Given,Y,1.0,"""Choosing Y leads to a higher payoff for Player 1 compared to X, as selecting Y results in a higher reward regardless of Player 2's choice."""
+5,qwen3,0.7,True,Given,X,1.0,"""Player 2's optimal choice is A because it is strictly dominant. Choosing A yields higher payoffs for Player 2 regardless of Player 1's choice. Therefore, if I choose X, Player 2 will pick A, giving me 6 points."""
+6,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 higher payoff (10) compared to A (5) when Player 1 chooses Y. Therefore, Player 2 will choose B, resulting in me getting 6 points."""
+7,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant for them, leading to me getting 6 points. Choosing Y would mean Player 2 chooses A as well, giving me 0 points. Therefore, choosing X is better for me."""
+8,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B as it is strictly dominant. If I choose Y, then Player 2 will choose B, giving me 6 points. If I were to choose X, Player 2 would still choose B, giving me 0. Therefore, choosing Y maximizes my payoff."""
+9,qwen3,0.7,True,Given,X,1.0,"""Based on the given rules, B is strictly dominated by A for Player 2. Therefore, if I choose X, Player 2 will choose A, giving me 6 points. Choosing Y would lead Player 2 to choose A as well, resulting in 0 points for me, which is worse. Thus, I should choose X to maximize my payoff."""
+10,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B gives Player 2 a higher reward than A in all cases. When Player 1 chooses Y, Player 2's B gives them 10 points while A gives them 5. So Player 2 will optimally choose B, which leads to Player 1 receiving 6 points, which is better than the 5 points they would get if Player 2 chose A. Therefore, choosing Y gives Player 1 a higher payoff than X, which is 10 points if Player 2 chooses A, but that might not be the case. However, since Player 2 will always choose B, Player 1 should choose Y to get 6 points."""
+11,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominated by A. Therefore, Player 2 must choose A if rational. Choosing A gives Player 2 a higher reward compared to B, so I choose X to maximize my payoff when Player 2 chooses A."""
+12,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B is strictly dominated by A? Wait, no, the rules state that A is strictly dominated by B. Wait, no, perhaps I misunderstood the rules. Wait, the rule says that A is strictly dominated by B, so Player 2 will choose B if rational. So regardless of my choice, Player 2 will choose B. So if I choose Y, I get 6 points. If I choose X, I get 0. Therefore, I should choose Y to maximize my payoff."""
+13,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant. Choosing A gives Player 2 more points than B in both cases. If Player 2 chooses A, I get 6 points. Choosing X gives me a higher payoff than Y in this scenario."""
+14,qwen3,0.7,True,Given,Y,1.0,"""Choosing Y provides a higher payoff than X when considering Player 2's rational choice of B. Since Player 2 will choose B, selecting Y yields 6 points for me, which is better than X's 0 points in that scenario."""
+15,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant. Choosing A gives Player 2 higher rewards regardless of my choice. If I choose X, Player 2 gets 10 points for choosing A, which is higher than B's 5. Therefore, Player 2 will choose A, resulting in me getting 6 points. Choosing Y would lead to Player 2 choosing A, giving me 0, which is worse than X's 6. Hence, I choose X."""
+16,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because it's strictly dominated by B. Choosing B gives Player 2 10 points if I choose Y, which is better than A's 5 points. Therefore, Player 2 will choose B, giving me 6 points. Choosing Y is better for me than X, which would result in 0 points if Player 2 chooses B."""
+17,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant. Choosing A gives Player 2 10 points if I choose X, which is higher than B's 5 points. Thus, Player 2 will choose A, which means I receive 6 points. Choosing Y would lead Player 2 to choose A as well, resulting in me getting 0 points. Therefore, choosing X is better for me."""
+18,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B is strictly dominant for them, giving Player 2 10 points. Choosing Y gives me 6 points if Player 2 chooses B. Since Player 2 is rational, they will choose B, which maximizes their reward."""
+19,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A since it's strictly dominant. Choosing A gives them higher payoff than B regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 with A, and 5 with B. If Player 1 chooses Y, Player 2 gets 5 with A, and 0 with B. So, A is strictly dominant. Therefore, I choose X because if Player 2 picks A, I get 6 points, which is better than if I choose Y and Player 2 picks A (I get 0) or if I choose Y and Player 2 picks B (I get 10). However, since Player 2 will choose A, choosing X gives me 6 points, better than Y which would give me 0 if Player 2 chooses A. Hence, I choose X."""
+20,qwen3,0.7,True,Given,Y,1.0,"""If Player 2 is rational and chooses B as it is strictly dominant, then choosing Y gives me 6 points. If Player 2 chooses A, we both get 5 points. Since B is strictly dominant, Player 2 will choose B, leading to me getting 6 points."""
+21,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to higher payoffs for Player 1 compared to Y. If Player 2 chooses A, Player 1 gets 6 points. If Player 2 chooses B, Player 1 gets 5 points. Since B is strictly dominated by A, Player 2 will choose A, leading to Player 1 receiving 6 points, which is better than the 0 points from Y if Player 2 chooses A."""
+22,qwen3,0.7,True,Given,Y,1.0,"""Choosing Y leads to higher payoff for Player 1 compared to X when Player 2 chooses B, which is the rational choice for Player 2."""
+23,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. If I choose X, Player 2 gets 10 points for A and 5 points for B. Choosing A maximizes their reward, so they will pick A. Choosing X gives me 6 points, which is better than Y's 0 if Player 2 picks A."""
+24,qwen3,0.7,True,Given,Y,1.0,"""Player 2 should choose B because it strictly dominates A. Since if Player 2 chooses B, they get 10 points if Player 1 chooses Y, and 5 points if Player 1 chooses X. Choosing B yields higher rewards in both scenarios, so Player 2 will rationally choose B. Assuming Player 2 chooses B, Player 1 should choose Y to maximize their own payoff, which is 6 points."""
+25,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to higher payoff for Player 1 compared to Y when Player 2 chooses A, which is the optimal choice for Player 2 as B is strictly dominated by A."""
+26,qwen3,0.7,True,Given,Y,1.0,"""Player 2's optimal choice is B since it is strictly dominated by B. Choosing B gives higher payoff than A regardless of Player 1's action."""
+27,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A, which is strictly dominant over B. If I choose X, choosing A gives Player 2 10 points while B gives 5. Therefore, Player 2 will choose A, resulting in me getting 6 points. Choosing Y would result in Player 2 choosing A and me getting 0 points. Thus, choosing X maximizes my payoff."""
+28,qwen3,0.7,True,Given,Y,1.0,"""Since Player 2 must choose B as it is strictly dominated by B, choosing Y will maximize my payoff when Player 2 chooses B."""
+29,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A gives them a higher payoff than B. Choosing A gives Player 2 10 points, which is better than 5 points from B. Therefore, I choose X because it leads to a higher payoff for me, knowing Player 2 will choose A."""
+30,qwen3,0.7,True,Given,Y,1.0,"""Player 2's rational choice is B, so selecting Y leads to higher payoff (6 points) compared to X which leads to 0 points if Player 2 chooses B."""
+1,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 would choose A as it gives them higher payoff (10 vs 5). However, if I choose Y, Player 2 would choose B as it gives them higher payoff (0 vs 5). Since I aim to maximize my own payoff, choosing X leads me to a situation where I get 6 points if Player 2 chooses A, while choosing Y leads to 10 points if Player 2 chooses B. To maximize my own payoff, I should choose Y as it allows me to get 10 points, assuming Player 2 acts rationally and chooses B."""
+2,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y is better than X as it gives higher total points (6+10) compared to (10+0) when Player 2 chooses B. However, if Player 2 chooses A, both get 5 points. Since Player 2 is rational, they would choose B to maximize their own reward, leading to Player 1 getting 6 points. Therefore, choosing Y is optimal as it results in higher points for me compared to X."""
+3,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X ensures that Player 2 is better off choosing A, which maximizes their reward. Since B is strictly dominated by A, Player 2 would select A, giving Player 1 6 points."""
+4,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff for me than X, as choosing Y and Player 2 choosing B gives me 6 points, which is better than X and Player 2 choosing A giving me 10 points (but since there is no way to know what Player 2 will choose, I need to consider their motivations. If I choose Y, Player 2 would prefer B (as B gives them more points than A). But if I choose X, Player 2 would prefer A. Since I want to maximize my own reward, I have to assume Player 2 will also act rationally, and choose the action that maximizes their own reward. If I choose Y, then Player 2 would choose B, which gives me 6 points. If I choose X, Player 2 would choose A, which gives me 10 points. Since 10 > 6, I should choose X to maximize my own payoff."""
+5,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows for a higher payoff if Player 2 chooses A, which is likely their optimal choice since A gives Player 2 10 points compared to 5 points for B."""
+6,qwen3,0.7,True,Explicit,Y,1.0,"""Player 1 should choose Y because if Player 2 chooses B, Player 1 gets 6 points, which is higher than choosing X (0 points if Player 2 chooses B). Additionally, if Player 2 chooses A, both get 5 points, which is better than X's outcome of 10 points for Player 1 only if Player 2 chooses A. However, since A is strictly dominated by B for Player 2, Player 2 will choose B, making Y the better choice for Player 1."""
+7,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X makes me aware that Player 2 would choose B because it provides the same payoff for both as A, but B is strictly dominated by A. However, if I choose X, Player 2's best response is B, making me get 5 points."""
+8,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows Player 1 to maximize their payoff when considering Player 2's optimal response. Since B is strictly dominated by A for Player 2, they will choose A, resulting in Player 1 getting 5 points, which is better than the 0 points from X when Player 2 chooses B."""
+9,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will choose A since A gives them higher payoff (10 points) than B (5 points). Choosing A maximizes Player 2's reward. Therefore, I choose X to maximize my own payoff, anticipating Player 2 will choose A, resulting in 6 points for me."""
+10,qwen3,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2 will choose B because B gives them higher reward than A. By choosing Y, I can get 6 points if Player 2 chooses B, which is better for me than if they choose A."""
+11,qwen3,0.7,True,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will select A to maximize their reward. Choosing A gives Player 2 10 points if Player 1 chooses X, which is better than B's 5 points. Therefore, I choose X to maximize my payoff when Player 2 selects A."""
+12,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2's optimal choice depends on Player 1's action. If I choose Y, Player 2 should choose B for a higher reward (10 vs 5). If I choose X, Player 2 should choose A for a higher reward (0 vs 5). Since B is strictly dominated by A, this means that Player 2 will choose A when I choose X, and B when I choose Y. But the question is for me to choose my action with the assumption of what Player 2 would do. However, the information about Player 2's choice being dominated by B is important. Given this, I would choose Y because when Player 2 chooses B, I get 6 points, which is better than if Player 2 chooses A, where I would get 5. Thus, my optimal choice is Y."""
+13,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2's best response is B, which gives both 5 points. If Player 2 chooses A, they get 10 points. However, since B is strictly dominated by A, Player 2 will choose A, giving me 6 points. Choosing X leads to a higher payoff for me than choosing Y, which could result in 0 or 10 points depending on Player 2's choice. Thus, I choose X to maximize my payoff."""
+14,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to get higher points compared to X, especially if Player 2 chooses B, which gives me 6 points. Since B is strictly dominant for Player 2, they will choose B, leading to a higher payoff for me than if I choose X."""
+15,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X, Player 2 would prefer B because it gives both players 5 points, which is better than choosing A which gives Player 2 10 points but Player 1 gets 6. However, since the rules state B is strictly dominated by A for Player 2, they should choose A. So I chose X expecting Player 2 to choose A."""
+16,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to potentially get more points compared to X, especially if Player 2 chooses B, which gives me 6 points. Since Player 2's best response to Y would likely be B, and considering Player 2's incentive to maximize their own reward, the optimal choice for me is to pick Y."""
+17,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X is better for maximizing my payoff because if Player 2 chooses A, I get 6 points, which is more than the 0 points if I choose Y. Even considering Player 2's possible choices, choosing X yields higher points than Y."""
+18,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y and anticipating Player 2's optimal response is more beneficial for me. Since A is strictly dominated by B for Player 2, they would choose B which gives them 10 points if I choose Y. However, if I choose Y, Player 2's choice of B would give me 6 points, while their choice of A would give me 5 points. Therefore, Player 2's optimal strategy is to choose B, maximizing their own reward, and I should choose Y to achieve the highest possible payoff given their optimal play."""
+19,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 will choose A because it gives them a higher payoff than B, as per the rules. Choosing A gives Player 2 10 points if Player 1 chooses X, which is better than B's 5 points. Therefore, Player 2 will choose A, leading to Player 1 receiving 6 points, which is the maximum payoff for Player 1."""
+20,qwen3,0.7,True,Explicit,Y,1.0,"""Because Player 2's best response to Y is B, which gives them 10 points, which is higher than A's 5 points. Choosing Y for Player 1 leads to a higher reward for Player 2, so they would choose B."""
+21,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 will choose A to maximize their reward. Choosing A gives Player 2 10 points if Player 1 selects X, which is higher than the 5 points from B. Hence, Player 2 will choose A."""
+22,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2 will choose B as it gives them more points. Choosing B gives Player 2 10 points if Player 1 chooses Y, which is more than the 5 points from A. So choosing B maximizes Player 2's reward."""
+23,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows Player 1 to secure a higher payoff than Y in the event Player 2 selects A, and since B is strictly dominated by A, Player 2 will choose A, leading to Player 1 receiving 6 points."""
+24,qwen3,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2's best response is B because choosing B gives them 10 points, which is higher than A's 5 points. Since Player 2 will choose B, my payoff is 6, which is higher than the payoff for X (which would be 0 if Player 2 chooses B). Therefore, Y is the optimal action for me."""
+25,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X results in higher payoff for me than Y. If I choose X, Player 2 will choose A because it gives them more points (10 vs 5). This leads to me getting 6 points, which is better than if I choose Y."""
+26,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to maximize my payoff if Player 2 chooses B, which gives me 6 points. Since Player 2 is rational and will choose B, which gives them 10 points, my best move is Y because it leads to the highest possible reward for me."""
+27,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X is optimal as it leads to a higher payoff than Y regardless of Player 2's choice. If Player 2 chooses A, Player 1 gets 6 points (vs 0 for Y). If Player 2 chooses B, Player 1 gets 5 points (vs 10 for Y). Wait, but Player 2's choices are determined by their own optimization. Since B is strictly dominated by A for Player 2, they will choose A, leading to Player 1 getting 6 points with X, which is better than Y's 0 points. So, X is the best choice for Player 1."""
+28,qwen3,0.7,True,Explicit,Y,1.0,"""I will choose Y because it gives me a higher payoff compared to X in the case where Player 2 chooses B, which is the dominant strategy for Player 2 as per the game rules."""
+29,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 should choose A because choosing A gives them a higher payoff than B regardless of Player 1's choice, so by choosing A, Player 2 maximizes their own reward."""
+30,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y gives Player 1 a higher payoff when Player 2 chooses B, which is 6 points, and a 5-5 split when Player 2 chooses A. Since A is strictly dominated by B for Player 2, they will choose B, leading to Player 1 getting 6 points, which is better than the 10 points from X when Player 2 chooses A. However, if Player 2 chooses B, Player 1 gets 6 points, whereas if they choose A, Player 1 gets 5. Since A is strictly dominated by B for Player 2, they will always choose B. Therefore, Player 1 should choose Y to maximize points."""
+1,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses B, where I get 5 points. However, if Player 2 chooses A, I get 6 points. Since Player 2 would choose A to maximize their own reward (10 points), I should consider their optimal choice first. If Player 2 chooses A, I get 6 points, which is better than if they choose B. Therefore, I choose X to maximize my payoff under the assumption that Player 2 will choose A."""
+2,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives Player 1 higher potential payoff if Player 2 selects B. Since Player 2 would choose B to maximize their own payoff (10 points vs. 5 for A), Player 1 should choose Y to maximize their own payoff if Player 2 selects B."""
+3,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 would choose B because it gives them 5 points, which is better than choosing A which gives them 10 points. Wait, that doesn't make sense. Let me re-evaluate."""
+4,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their reward of 10 points. Choosing B gives Player 2 10 points, which is better than choosing A, which only gives them 5 points."""
+5,qwen3,0.7,True,Implicit,X,1.0,"""I believe Player 2 will choose A, which gives Player 1 6 points. Choosing B gives Player 1 5 points. Since Player 2 wants to maximize their own reward, they would choose A to maximize their own points (10 points), which is better than B (5 points). Therefore, Player 1 should choose X to maximize their own reward, assuming Player 2 will choose A."""
+6,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff when Player 2 chooses B, which gives me 6 points. Since Player 2 would likely choose B to maximize their own reward (10 points), it's optimal for me to choose Y to maximize my payoff."""
+7,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses B, which gives me 5 points. However, since Player 2 would aim to maximize their own points, they would choose A if I choose X, giving me 6 points. But this is not optimal for me, as choosing Y allows me to get 10 points if Player 2 chooses B. Therefore, I choose X to maximize my payoff, assuming Player 2 will choose A."""
+8,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my potential payoff. If Player 2 chooses B, I get 6 points; if they choose A, I get 5 points. Since 6 is higher than 5, I prioritize the possibility of getting 6 points, assuming Player 2 will act to maximize their own reward, which would likely be to choose B as it gives them 10 points if I choose Y, which is the highest they can get."""
+9,qwen3,0.7,True,Implicit,X,1.0,"""Player 2 would choose B to maximize their reward. If Player 1 chooses X, Player 2 gets 5 points for B, which is better than 10 points for A. Wait, actually, if Player 1 chooses X, Player 2 gets 10 for A and 5 for B. So Player 2 would choose A for maximum reward. Wait, no, there's confusion here. If Player 1 chooses X, Player 2 gets 10 points for A and 5 for B. So Player 2 would choose A. If Player 1 chooses Y, Player 2 gets 5 for A and 0 for B. So Player 2 would choose A. If I choose X, Player 2 would choose A. If I choose Y, Player 2 would choose A. So regardless of my choice, Player 2 chooses A. Therefore, I should choose the action that gives me the highest payoff when Player 2 chooses A. If I choose X, I get 6 points. If I choose Y, I get 0 points. So I should choose X."""
+10,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher payoff for me compared to choosing X, as choosing Y gives me a higher payoff in both scenarios when considering what Player 2 might choose."""
+11,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher payoff for Player 1 compared to Y in the scenario where Player 2 chooses A or B, based on the given outcomes."""
+12,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives me a higher payoff than X in the best-case scenario. If Player 2 chooses B, I get 6 points, which is better than the 10 points I would get if I chose X and Player 2 chose A. However, I need to consider Player 2's rationality. If I choose Y, Player 2 would benefit more from choosing A (since 5 points for A versus 10 points for B). Wait, this seems conflicting. Let me reassess. If I choose Y, Player 2's best response is A because 5 (for A) is higher than 10 (for B)? No, wait, if I choose Y, then if Player 2 picks B, they get 10, and if they pick A, they get 5. So Player 2's best response to Y is B, getting 10 points. Conversely, if I choose X, Player 2's best response is A, getting 0 points? Wait, no: if I choose X, Player 2's possible payoffs are 5 (for B) or 0 (for A). So Player 2 would pick B, giving them 5 points. Wait, this is getting confusing. I need to focus on my own payoffs. If I choose Y, Player 2 will choose B (maximizing their own payoff of 10). If I choose X, Player 2 will choose A (maximizing their own payoff of 0)? No, if Player 2 chooses B when I choose X, they get 5. So they would choose B for the 5 points. Hmm, if I choose X, Player 2's best response is B, giving them 5 points. If I choose Y, Player 2's best is B, giving them 10 points. So regardless of my choice, Player 2 chooses B. That means, if I choose Y, I get 6 points (since Player 2 chooses B). If I choose X, I get 0 (since Player 2 chooses B). Therefore, I should choose Y to maximize my points, getting 6 instead of 0."""
+13,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff considering Player 2's optimal response. If I choose X, Player 2 would get 10 points for choosing A and 5 points for choosing B. Since Player 2 wants to maximize their reward, they would choose A. However, if I choose X, I get 6 points when Player 2 chooses A, and 5 points when Player 2 chooses B. Since Player 2 will choose A to maximize their own reward, I would get 6 points. Alternatively, if I choose Y, Player 2 would choose B to get 0 points for me, but they get 0 points for themselves. Wait, that seems conflicting. Let me reevaluate."""
+14,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my own payoff if Player 2 chooses A, giving me 5 points, which is better than choosing X which would only give me 10 points if Player 2 chooses A. However, if Player 2 chooses B, selecting Y gives me 6 points, which is better than X's 0 points. Therefore, Y is the optimal choice for maximizing my payoff regardless of Player 2's action."""
+15,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows Player 1 to secure a higher payoff in case Player 2 chooses B, which gives 5 points to Player 1. If Player 2 selects A, Player 1 gets 6 points, which is better than the 0 points for Y. By choosing X, Player 1 maximizes potential payoff."""
+16,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can choose B to maximize their own reward (10 points) or A to get 5 points. Since 10 > 5, Player 2 will choose B. If Player 2 chooses B, I get 6 points, which is better than if they choose A, where I would get 5. So, choosing Y is optimal for me as it leads to a higher payoff regardless of Player 2's choice."""
+17,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher payoff for Player 1 if Player 2 chooses B, which gives 5 points for both. However, the primary goal is to maximize my own payoff. If I choose X, Player 2 would choose B to maximize their own payoff, resulting in 5 points for me, which is better than if Player 2 chose A, which gives me 6 points. But wait, if Player 2 chooses A when I choose X, I get 6 points, which is higher than 5. Therefore, Player 2 would choose B to get 5 points, but I would prefer Player 2 to choose A for higher points. This is a dilemma. However, to maximize my own payoff, I should choose X, assuming Player 2 would choose B, giving me 5 points, which is a safer choice than Y where I could get 10 points if Player 2 chooses B, but 0 if Player 2 chooses A. But I need to consider what Player 2 would do. If I choose X, Player 2 would choose B for their own gain. If I choose Y, Player 2 would choose A. Therefore, choosing Y gives me 10 points if Player 2 chooses B, but Player 2 would choose A to maximize their own gain. Thus, choosing Y leads to me getting 0. So, the optimal move is to choose X, assuming Player 2 chooses B, but I would get 5, which is better than Y leading to 0. Therefore, X is the better move."""
+18,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives Player 1 a higher payoff compared to X, which is 6 points if Player 2 chooses B, and 5 if Player 2 chooses A. However, I need to consider Player 2's optimal choice. If I choose Y, Player 2 would choose B to maximize their reward (10 points). If I choose X, Player 2 would choose A to maximize their reward (0 points for Player 1, which is worse for me). Therefore, choosing Y leads to a better outcome for me, even though Player 2 would choose B, which gives me 6 points."""
+19,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher payoff for me compared to Y."""
+20,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives me a chance to get 6 points if Player 2 chooses B, which is better than choosing X. Even if Player 2 chooses A, I get 5 points which is still better than the 0 points I would get if I chose X and Player 2 chose B. So, Y is the better choice for maximizing my own payoff."""
+21,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows me to potentially maximize my payoff based on the possible actions of Player 2. If Player 2 chooses A, I receive 6 points; if they choose B, I get 5 points. Since the reward for Player 2 is higher when I choose X (they get 10 or 5 points, but I can't influence their choice), I assume they will choose the action that maximizes their own payoff. If Player 2 is rational, they would choose A if I choose X because they get 10 points, which is higher than 5 points from B. However, my own payoff is maximized if they choose B, but since I can't predict their choice, I choose X to maximize my potential reward under the assumption they will choose A."""
+22,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B because it gives them 10 points, which is higher than choosing A. By choosing Y, I get 6 points, which is higher than if Player 2 chooses A, which gives me 5 points. Therefore, choosing Y maximizes my payoff considering Player 2's optimal response."""
+23,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose B to maximize their reward, resulting in both of us getting 5 points. By choosing X, I can get 5 points, which is better than the 0 points I would get if Player 2 chooses A. Therefore, I choose X as it leads to a better outcome for me."""
+24,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff in the case where Player 2 chooses A, as I would get 5 points. Additionally, if Player 2 chooses B, I get 6 points, which is better than if I had chosen X."""
+25,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows me to maximize my reward based on the potential actions of Player 2. If Player 2 chooses A, I get 6 points, which is better than the 0 points I would get if they chose B. However, if Player 2 chooses B, we both get 5 points, which is less than if they choose A. Player 2 would prefer to choose A as it gives them 10 points, which is higher than the 5 points they get if I choose B. So, given the potential for higher rewards, Player 2 would likely choose A, leading to me getting 6 points."""
+26,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice."""
+27,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X provides a higher payoff for me compared to Y, as choosing X results in a higher minimum payoff regardless of Player 2's actions."""
+28,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y gives Player 1 a higher payoff compared to X when Player 2 chooses B, which is 6 points versus 0. Since Player 2 would prefer B when Player 1 chooses Y, this leads to Player 1 getting 6 points, which is better than the alternative of getting 5 points if Player 2 choose A."""
+29,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X and anticipating Player 2's action based on their maximization of reward. If Player 1 chooses X, Player 2 would choose B to get 5 points, but if they choose A, they get 10. So Player 2 would choose A for higher reward. However, the scenario doesn't specify Player 2's choice, so Player 1 should choose based on the expected outcome, which might be ambiguous."""
+30,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y allows me to maximize my payoff if Player 2 chooses B, which gives me 6 points. If Player 2 chooses A, we both get 5 points. Since Player 2 would aim to maximize their own payoff, they would choose B if possible, as it gives them 10 points, which is higher than 5. Therefore, assuming rational play, I choose Y to maximize my payoff if Player 2 selects B, which seems the more favorable option."""
diff --git a/data/ring/ring.1.d.False.csv b/data/ring/ring.1.d.False.csv
index f2cbad3..603d239 100644
--- a/data/ring/ring.1.d.False.csv
+++ b/data/ring/ring.1.d.False.csv
@@ -629,3 +629,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
28,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""As a rational player, I aim to maximize my points while also considering the potential choices of Player 2. If I choose X, my reward is either 0 or 40 points, depending on Player 2's choice. However, if I choose Y, my reward can be up to 15 points, which is a more consistent and reasonable outcome, given that Player 2 may not necessarily choose A."""
29,mixtral:8x7b,0.7,False,Implicit,Y,0.0,"""According to the game rules, choosing 'Y' and having Player 2 choose 'B' results in a higher payoff (40 points) for Player 1 compared to any other outcome. Since our aim is to maximize Player 1's points, we should pick 'Y' when Player 2 chooses 'B'. It doesn't matter what Player 2 chooses in this case because Player 1 will always get the maximum payoff with 'Y' and 'B' combination. Therefore, the optimal strategy for Player 1 is to choose 'Y'."""
30,mixtral:8x7b,0.7,False,Implicit,Y,1.0,"""Given the rules of the game, choosing 'Y' offers a higher payoff in two out of the four possible combinations compared to choosing 'X'. If Player 2 chooses 'B', selecting 'Y' results in 15 points for Player 1 and 10 points for Player 2, which is a better outcome than getting 0 points by picking 'X'. In the case where Player 2 selects 'A', both players receive the same number of points regardless of whether Player 1 chooses 'X' or 'Y'. However, since there is no clear advantage in this scenario, we can prioritize the combination that offers a higher payoff. Therefore, choosing 'Y' would be the more rational decision."""
+1,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, Player 1 should choose X to maximize their payoff. If Player 1 chooses X, they get 15 points when Player 2 chooses A, which is the best outcome for Player 1 given Player 2's rational choice."""
+2,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X, which would result in 0 points."""
+3,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to Y, which gives 0 points."""
+4,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X, which would result in 0 points."""
+5,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant for her), if I choose X, I get 15 points. If I choose Y, I get 0 points. Therefore, choosing X gives me a higher payoff."""
+6,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for Player 1 (15 points) compared to choosing X (0 points)."""
+7,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant), choosing X leads to a higher payoff for me (15 points) compared to choosing Y, which would result in 0 points."""
+8,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, if I choose Y, I will receive 15 points. If I choose X, I will receive 0 points. Therefore, choosing Y is better for maximizing my own payoff."""
+9,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it is strictly dominant for her), the outcome depends on Player 1's choice. If I choose X, I get 15 points. If I choose Y, I get 0 points. Therefore, choosing X maximizes my payoff."""
+10,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, choosing Y will result in Player 1 getting 15 points, which is better than choosing X which would result in 0 points."""
+11,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 vs 0 if I choose Y)."""
+12,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to 15 points for me, which is higher than choosing X which would give me 0 points."""
+13,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A, choosing X leads to a higher payoff (15) compared to choosing Y which results in 0 points."""
+14,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X, which would result in 0 points."""
+15,qwen3,0.7,False,Given,X,1.0,"""If Player 2 chooses A (as they must be rational), then choosing X gives me 15 points, which is better than Y's 0 points. So I should choose X."""
+16,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, choosing Y would result in 15 points for me, which is better than choosing X which would result in 0 points."""
+17,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 will choose A (as it's strictly dominant), choosing X gives me 15 points, which is higher than choosing Y which would give me 0 points if Player 2 chooses A."""
+18,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X which would result in 0 points."""
+19,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and must choose A, the outcome for Player 1 is 15 points (if choosing X) versus 0 points (if choosing Y). Choosing X maximizes my payoff."""
+20,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and must choose B, choosing Y leads to Player 1 receiving 15 points, which is better than choosing X which would result in 0 points."""
+21,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, selecting X leads to a higher payoff for me compared to Y. If I choose X, I get 15 points; if I choose Y, I get 0 points."""
+22,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for Player 1 (15 points) compared to choosing X, which would result in 0 points."""
+23,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X will result in Player 1 receiving 15 points, which is better than choosing Y and getting 0 points."""
+24,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and chooses B, choosing Y leads to a higher payoff for me (15 points) compared to X (0 points)."""
+25,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y which would result in 0 points."""
+26,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 must choose B, and if I choose Y, I will get 15 points, which is higher than choosing X which would give me 0 points in this scenario."""
+27,qwen3,0.7,False,Given,X,1.0,"""Since Player 2 is rational and will choose A, choosing X leads to a higher payoff for me (15 points) compared to choosing Y which would give me 0 points."""
+28,qwen3,0.7,False,Given,Y,1.0,"""Player 2 is rational and will choose B. If I choose Y, I get 15 points. If I choose X, I get 0 points. Therefore, I choose Y to maximize my payoff."""
+29,qwen3,0.7,False,Given,X,1.0,"""Player 2 chooses A as they are rational, so choosing X gives me 15 points instead of 0 if I choose Y."""
+30,qwen3,0.7,False,Given,Y,1.0,"""Since Player 2 is rational and will choose B, choosing Y leads to a higher payoff for me (15 points) compared to choosing X, which would result in 0 points."""
+1,qwen3,0.7,False,Explicit,Y,0.0,"""Choosing Y and B gives Player 1 40 points, which is higher than any other combination. Since B is strictly dominated by A, Player 2 will choose A, but I should still maximize my own points by selecting Y."""
+2,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is higher than choosing X which would give me 0 points."""
+3,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice, as it results in either 15 points or 5 points, while Y could result in 0 or 40 points. Since B is strictly dominated by A, Player 2 will choose A, making X the optimal choice for me."""
+4,qwen3,0.7,False,Explicit,Y,1.0,"""Since the problem states that A is strictly dominated by B, this implies that Player 2 will always choose B. Therefore, Player 1 should choose Y, which gives a higher payoff (15) compared to X (0) when Player 2 chooses B."""
+5,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X leads to a higher payoff than Y when considering Player 2's possible choices."""
+6,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives Player 1 15 points, which is the highest payoff compared to choosing X which would give 0 points."""
+7,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, choosing X leads to a higher payoff (15) compared to Y which gives 0 in this scenario."""
+8,qwen3,0.7,False,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 5 points. While X could give me 40 if Player 2 chooses A, it gives me 0 if they choose B. Since A is strictly dominated by B, Player 2 will choose B, making Y the better choice."""
+9,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X leads to higher payoff compared to Y regardless of Player 2's choice."""
+10,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is better than choosing X and getting 0 points."""
+11,qwen3,0.7,False,Explicit,X,1.0,"""Player 2's choice of A or B affects the outcome. Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives Player 1 a higher payoff (15 points) compared to choosing Y (0 points). Therefore, Player 1 should choose X to maximize their payoff."""
+12,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives Player 1 15 points, which is higher than choosing X and getting 0 points."""
+13,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize their payoff, gaining 15 points instead of 0 if choosing Y."""
+14,qwen3,0.7,False,Explicit,Y,1.0,"""Since B is strictly dominated by A, the optimal strategy for Player 1 is to choose Y when Player 2 chooses A, resulting in a payoff of 5 for both."""
+15,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, as Player 1, I should choose X to maximize my payoff, which gives me 15 points instead of 0 if I choose Y."""
+16,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, if I choose Y, I will get 15 points if Player 2 chooses B, or 5 points if Player 2 chooses A, which is better than the 0 points if I choose X and Player 2 chooses B. Choosing Y gives me a higher payoff regardless of Player 2's choice."""
+17,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X gives a higher payoff than Y when considering the possible actions of Player 2."""
+18,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is higher than choosing X which would give me 0 points."""
+19,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, Player 1 should choose X to maximize payoff, resulting in 15 points."""
+20,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B regardless of Player 1's action. Choosing Y leads to a higher payoff (15 points) compared to X (0 points) when Player 2 chooses B."""
+21,qwen3,0.7,False,Explicit,X,1.0,"""Choosing X maximizes my payoff regardless of Player 2's choice because if Player 2 chooses A, I get 15 points, and if they choose B, I get 5 points. Choosing Y could result in getting 0 points if Player 2 chooses A, which is worse than the minimum payoff from X."""
+22,qwen3,0.7,False,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 5 points. Choosing X would give me 0 or 40 points, which is less optimal."""
+23,qwen3,0.7,False,Explicit,X,1.0,"""If I choose X, the best outcome for me is if Player 2 chooses A, giving me 15 points. Even if Player 2 chooses B, I still get 5 points. Choosing Y risks getting 0 if Player 2 chooses A, which is worse than X's minimum of 5. So X is better."""
+24,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y gives a higher payoff than X when Player 2 chooses B (15 vs 0). Therefore, I choose Y to maximize my payoff."""
+25,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. If Player 2 chooses A, Player 1 should choose X to maximize points (15 > 0)."""
+26,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. If Player 1 chooses Y, they get 15 points when Player 2 chooses B, which is higher than the 5 points from choosing Y when Player 2 chooses A. Therefore, choosing Y maximizes Player 1's payoff."""
+27,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Choosing X when Player 2 chooses A gives Player 1 15 points, which is higher than choosing Y which gives 0 points. Therefore, X is the optimal choice."""
+28,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Therefore, Player 1 should choose Y to maximize their payoff, which gives 15 points instead of 0 if choosing X."""
+29,qwen3,0.7,False,Explicit,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I should choose X to maximize my payoff, which results in 15 points."""
+30,qwen3,0.7,False,Explicit,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Choosing Y when Player 2 chooses B gives me 15 points, which is better than choosing X which gives 0 points."""
+1,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 0 points, but if they choose B, I get 40 points. Since I want to maximize my own payoff, I should choose Y, as it gives me the highest possible reward (40 points) when Player 2 chooses B."""
+2,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. Choosing X could lead to 40 points if Player 2 chooses A, but if they choose B, I get 0. Since I don't know Player 2's choice, I assume they might choose B, which would make Y the safer option."""
+3,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y leads to higher points for Player 1 in the case of Player 2 choosing B, which is the highest possible reward for Player 1 (40 points), and since Player 2's choices are not known, maximizing the potential payoff is the rational choice."""
+4,qwen3,0.7,False,Implicit,X,0.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 40 points; if they choose B, I get 0. Wait, that's not right. If Player 2 chooses B, I get 0, which is worse than if Player 2 chooses A. So maybe X isn't the best choice. Let me re-evaluate."""
+5,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y and B gives me 40 points, which is the highest payoff for Player 1 regardless of Player 2's choice."""
+6,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points; if they choose A, I get 5 points. Choosing X gives me 40 points only if Player 2 chooses A, but 0 points if they choose B. Since I don't know Player 2's choice, I prefer Y to avoid the risk of getting 0 points."""
+7,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y and anticipating Player 2's choice of B would result in 40 points for me. Since Player 2's choice of B gives me the highest payoff, I select Y to maximize my points."""
+8,qwen3,0.7,False,Implicit,X,0.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 40 points. If they choose B, I get 0. Wait, that's not optimal. Let me think again."""
+9,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y gives a higher payoff when Player 2 chooses B, which is the best response to my choice. Since Player 2's choice is unknown, I consider the maximum possible payoff. Y provides 40 points if Player 2 chooses B, which is higher than X's maximum of 15. Thus, I choose Y to maximize my own payoff."""
+10,qwen3,0.7,False,Implicit,X,0.0,"""Choosing X maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 40 points, which is higher than the 5 points from choosing Y. If Player 2 chooses B, I get 0 points with X, but I get 15 points with Y. However, since Player 2's choice is unknown, I need to consider the worst-case scenario. Wait, that reasoning seems off. Let me re-evaluate. If I choose X, the best outcome is 40 (if Player 2 chooses A) and the worst is 0 (if Player 2 chooses B). If I choose Y, the best is 15 (if Player 2 chooses B) and the worst is 5 (if Player 2 chooses A). Comparing these, X has a higher maximum payoff (40 vs 15), but the worst case for X is worse (0 vs 5). So if I am risk-averse, I might prefer Y for its guaranteed minimum of 5. But the question is about maximizing my own payoff. Since the game is not repeated and I am to choose selfishly, the best strategy would be to choose X, because the maximum payoff is higher, and if Player 2's choice is A, which is possible, then I can achieve the highest reward. Therefore, I'll choose X."""
+11,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses A, I get 0 points. If Player 2 chooses B, I get 40 points. Since 40 is higher than the maximum payoff from choosing X (15 points), I should choose Y."""
+12,qwen3,0.7,False,Implicit,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 5 points. While choosing X could lead to higher points if Player 2 chooses A (40 points), there's a risk Player 2 might choose B, resulting in 0 points for me. Therefore, Y is the safer and more optimal choice."""
+13,qwen3,0.7,False,Implicit,X,1.0,"""If I choose X and Player 2 chooses A, I get 15 points. If I choose X and Player 2 chooses B, I get 5 points. Therefore, choosing X gives me a guaranteed minimum of 5 points. Choosing Y risks getting 0 points if Player 2 chooses A, and only gives me 40 points if Player 2 chooses B. Therefore, choosing X is the safer option."""
+14,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y gives me the best possible outcome if Player 2 chooses B, which yields 15 points, and if Player 2 chooses A, it gives 5 points, which is better than choosing X in that scenario."""
+15,qwen3,0.7,False,Implicit,X,1.0,"""Choosing X leads to higher points than Y regardless of Player 2's choice. If Player 2 chooses A, X gives 15 points. If Player 2 chooses B, X gives 5 points, which is better than Y's 40 points. Wait, no, if Player 2 chooses B, Y gives 40 points, so I should choose Y if Player 2 chooses B. But since I don't know what Player 2 will choose, I need to consider the worst-case scenario. Choosing X guarantees at least 5 points, while Y can give 40 points but risks 0 if Player 2 chooses A. Therefore, choosing X is safer to maximize minimum payoff."""
+16,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes the potential payoff if Player 2 chooses B, which gives me 15 points. Since the outcome depends on Player 2's choice, I assume the optimal choice is to maximize my own payoff in the most advantageous scenario."""
+17,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y leads to a higher payoff when Player 2 chooses B, which is a more favorable outcome for me compared to choosing X."""
+18,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points; if they choose A, I get 5 points. Choosing X could result in 40 points only if Player 2 chooses A, but it risks getting 0 points if Player 2 chooses B. Since I don't know Player 2's choice, I prefer Y to avoid the risk of getting zero."""
+19,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y gives a higher payoff if Player 2 chooses B, which is the best response to my action. Since Player 2's choice is uncertain, I assume they might choose B to maximize my reward."""
+20,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points. If they choose A, I get 5 points. However, if I choose X, the best I can get is 40 points if Player 2 chooses A, but if they choose B, I get 0. Since I don't know Player 2's choice, choosing Y ensures a minimum of 5 points versus 0 with X. Therefore, Y is the safer and more rational choice to maximize my payoff."""
+21,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y and anticipating Player 2's choice of B leads to a higher payoff of 40 points for me, which is more than the maximum payoff from choosing X."""
+22,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 chooses B, I get 15 points, and if they choose A, I get 5. Choosing X could give me 40 points if Player 2 chooses A, but the risk of getting 0 points if Player 2 chooses B makes it less optimal."""
+23,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y leads to a higher payoff if Player 2 chooses B, which is the best response for Player 2 if Player 1 chooses Y. By selecting Y, I maximize my potential gains, especially since Player 2's optimal choice would be B, resulting in a 40-point reward for me."""
+24,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y leads to higher payoff than X, as Y gives 15 points when Player 2 chooses B, which is higher than X's 0 points in the same scenario."""
+25,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y gives a higher payoff when Player 2 chooses B, which is the most beneficial outcome for me if I assume Player 2 will choose B to maximize my points."""
+26,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes Player 1's payoff regardless of Player 2's choice. If Player 2 chooses B, Player 1 gets 15 points; if Player 2 chooses A, Player 1 gets 5 points. Choosing Y results in a higher payoff than choosing X in both scenarios."""
+27,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y leads to a higher payoff if Player 2 chooses B, which is 40 points for me. I assume Player 2 will choose B to maximize my points."""
+28,qwen3,0.7,False,Implicit,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 5 points. Choosing X would give me 0 or 40 points, which is less than 5 or 15."""
+29,qwen3,0.7,False,Implicit,Y,0.0,"""Choosing Y leads to a higher payoff if Player 2 chooses B, which is the best response for Player 2 if they are rational. Since Player 2's optimal choice depends on Player 1's action, I assume they will select B to maximize their own payoff. Therefore, choosing Y gives me the highest possible payoff of 40 points."""
+30,qwen3,0.7,False,Implicit,Y,1.0,"""Choosing Y maximizes my payoff regardless of Player 2's choice. If Player 2 picks B, I get 15 points. If Player 2 picks A, I get 5 points. Choosing Y ensures at least 5 points, while choosing X could result in 40 points if Player 2 picks A, but if Player 2 picks B, I get 0. Since I cannot predict Player 2's choice, I choose Y to avoid the risk of getting 0 points."""
diff --git a/data/ring/ring.1.d.True.csv b/data/ring/ring.1.d.True.csv
index 3e739f4..aac2d6f 100644
--- a/data/ring/ring.1.d.True.csv
+++ b/data/ring/ring.1.d.True.csv
@@ -366,3 +366,93 @@ Player gets 5). Since the reward of choosing 'A' is higher for PLayer 2 than B,
28,deepseek-r1,0.7,True,Implicit,Y,1.0,
29,deepseek-r1,0.7,True,Implicit,X,1.0,"""Choosing X because it offers a higher payoff when Player 2 chooses A, even though if Player 2 were to choose B, both get 5 points. But since I can't control Player 2's move, I assume they might rationalize their choice based on my action."""
30,deepseek-r1,0.7,True,Implicit,X,0.0,"""..."""
+1,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because A is strictly dominant over B. If I choose X, Player 2 gets 10 points for choosing A, which is higher than 5 points for B. Hence, Player 2 will choose A, resulting in me getting 15 points."""
+2,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B since it's strictly dominant, which gives me 15 points. Choosing Y leads to higher payoff than X, which would result in 0 if Player 2 chooses B."""
+3,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to a higher payoff than Y. If Player 2 chooses A, which they should as it's strictly dominant, Player 1 gets 15 points. If Player 2 chooses B, Player 1 gets 5 points. Since Player 2 will choose A, the optimal move for Player 1 is to select X."""
+4,qwen3,0.7,True,Given,Y,1.0,"""Choosing Y ensures that Player 2 will choose B, as B strictly dominates A. If Player 2 chooses B, I get 15 points, which is higher than the 5 points I would get if Player 2 chooses A. Therefore, selecting Y is the optimal choice to maximize my payoff."""
+5,qwen3,0.7,True,Given,Y,0.0,"""Choosing Y and expecting Player 2 to pick B leads to 40 points for me, which is higher than the 5 points from X and B. Since B is strictly dominated by A, Player 2 will choose A, so choosing Y results in 0 points for me, which is worse than X and A. Therefore, I should choose X because it gives me 15 points when Player 2 chooses A, which is the rational choice."""
+6,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B because it is strictly dominant. Choosing B gives them higher points than A regardless of Player 1's choice. So, if I choose Y, Player 2 will choose B, giving me 15 points."""
+7,qwen3,0.7,True,Given,X,1.0,"""Player 2 should choose A since it is strictly dominant. If I choose X, Player 2 gets 10 by choosing A or 5 by choosing B. So, they will select A, giving me 15 points, which is the highest possible payoff for me."""
+8,qwen3,0.7,True,Given,Y,1.0,"""Player 2's optimal choice is to pick B because it's strictly dominant over A. So, if I choose Y, Player 2 will choose B, giving me 15 points."""
+9,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A gives higher payoff than B regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 with A vs 5 with B. If Player 1 chooses Y, Player 2 gets 5 with A vs 0 with B. So Player 2 will choose A. Choosing X gives Player 1 higher payoff than Y if Player 2 chooses A, so Player 1 should choose X."""
+10,qwen3,0.7,True,Given,Y,1.0,"""Player 2 will choose B because it's strictly dominant. If Player 1 chooses Y, Player 2's payoff for B is higher than A (10 vs 5). So Player 2 will choose B, giving Player 1 15 points."""
+11,qwen3,0.7,True,Given,X,1.0,"""Choosing X leads to higher points than Y when considering Player 2's rational choice. Since Player 2 will choose A, which is strictly dominant, the payoff for Player 1 choosing X is 15 points, which is higher than the 0 points from Y."""
+12,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 a higher payoff (10) than A (5). Therefore, Player 2 will select B, resulting in me getting 15 points, which is better than choosing X."""
+13,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominated by A. Since Player 2 is rational, they will pick A. Choosing A gives them a higher payoff than B, so they will pick A regardless of Player 1's move. Therefore, I choose X to maximize my own reward when Player 2 chooses A, giving me 15 points."""
+14,qwen3,0.7,True,Given,Y,1.0,"""Choosing Y and assuming Player 2 will choose B (since B is strictly dominant for Player 2), Player 1 gets 15 points. If Player 2 chooses A, both get 5 points. Since Player 2 is rational and B is strictly dominant, they will choose B, maximizing Player 1's payoff to 15."""
+15,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant over B. If I choose X, choosing A gives Player 2 10 points, whereas choosing B gives them only 5 points. Therefore, Player 2 will select A to maximize their reward. As Player 1, choosing X leads to a higher payoff (15 points) compared to Y, which would result in Player 2 choosing A and giving me 0 points."""
+16,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A for Player 2. Choosing B gives Player 2 a higher payoff than A regardless of Player 1's choice. Therefore, Player 2 will select B, resulting in Player 1 receiving 15 points."""
+17,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because it is strictly dominant. Choosing A maximizes Player 2's payoff regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 points by choosing A, which is higher than 5 points from B. If Player 1 chooses Y, Player 2 gets 5 points from A, which is higher than 0 points from B. Thus, Player 2 will choose A, and Player 1 gets 15 points by choosing X, which is better than 0 points from Y. Hence, I choose X."""
+18,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B strictly dominates A. Choosing B gives Player 2 higher payoff than A, so Player 2 will choose B, resulting in Player 1 getting 15 points."""
+19,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant for Player 2. Choosing A gives Player 2 a higher reward than B in both cases. If Player 2 chooses A, I will get 15 points, which is better than the 0 points I would get if Player 2 chooses B. Therefore, choosing X leads to a better outcome for me."""
+20,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B because B is strictly dominant for Player 2. Choosing B gives Player 2 10 points when I choose Y, which is better than choosing A which gives them 5 points. Choosing B is the rational choice for Player 2, so I will get 15 points, which is better than choosing X which would result in Player 2 choosing B and me getting 0 points."""
+21,qwen3,0.7,True,Given,X,1.0,"""Because Player 2 must choose A if rational, choosing X ensures Player 1 gets 15 points."""
+22,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B since it is strictly dominant. Therefore, choosing Y ensures Player 1 gets 15 points, which is higher than the 5 points from choosing A. Thus, Y is the optimal choice for maximizing payoff."""
+23,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A because A is strictly dominant over B, giving Player 2 more points. Choosing A yields 10 points for Player 2 compared to 5 points with B. Therefore, Player 2 will choose A, resulting in me getting 15 points. Choosing Y would lead to Player 2 choosing A as well, but I would get 0 points. Thus, choosing X is better for me."""
+24,qwen3,0.7,True,Given,Y,1.0,"""Player 2 is rational and will choose B. If I choose Y, Player 2 gets 10 points for choosing B and 5 points for choosing A. Since B gives a higher reward, Player 2 will choose B. Choosing B gives Player 1 15 points, which is better than the 5 points if Player 2 chooses A. Therefore, I choose Y to maximize my payoff knowing Player 2 will pick B."""
+25,qwen3,0.7,True,Given,X,1.0,"""Choosing X allows Player 1 to maximize their payoff considering Player 2 will choose A as it's strictly dominant. By selecting X, Player 1 gains 15 points, which is higher than the 5 points from choosing Y when Player 2 also selects A."""
+26,qwen3,0.7,True,Given,Y,1.0,"""If Player 1 chooses Y, Player 2's optimal response is B since it provides a higher payoff for Player 2 (10 vs. 5). Therefore, Player 1 should choose Y to maximize their payoff, assuming Player 2 is rational and selects B."""
+27,qwen3,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will choose A since A is strictly dominant over B. This gives me 15 points, which is higher than the 5 points I would get if Player 2 chose B."""
+28,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 should choose B because B strictly dominates A. Choosing B gives Player 2 a higher payoff than A regardless of Player 1's choice. Thus, Player 2 will select B, giving me 15 points."""
+29,qwen3,0.7,True,Given,X,1.0,"""Player 2 will choose A because A is strictly dominant over B. Choosing A maximizes their payoff regardless of Player 1's choice. If Player 1 chooses X, Player 2 gets 10 points with A vs 5 with B. If Player 1 chooses Y, Player 2 gets 5 points with A vs 0 with B. Hence, Player 2 will choose A. As Player 1, choosing X gives me 15 points if Player 2 chooses A, which is the optimal choice for Player 2. Therefore, I choose X to maximize my payoff knowing Player 2 will pick A."""
+30,qwen3,0.7,True,Given,Y,1.0,"""If I choose Y, then Player 2 will choose B because B is strictly dominates A, which gives Player 2 the maximum reward of 10 points instead of 5 points. Choosing B maximizes Player 2's reward, so they will choose B. Choosing Y leads to me getting 15 points, which is better than the 5 points if Player 2 chooses A. Hence, I choose Y."""
+1,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 should choose A because A gives them a higher payoff than B. If I choose X, Player 2 gets 10 points for A and 5 for B. Therefore, they would pick A to maximize their own reward. Choosing X leads to a higher total payoff for both, so I choose X."""
+2,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff for Player 1 compared to X in scenarios where Player 2 chooses B or A, especially since A is strictly dominated by B for Player 2, making B the optimal choice for Player 2, resulting in Player 1 receiving 15 points versus 0 points if Player 2 chooses B when Player 1 chooses X."""
+3,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will choose A because A gives Player 2 a higher reward (10 points) compared to B (5 points). Choosing A maximizes Player 2's reward, so I should choose X to maximize my own payoff, assuming Player 2 will rationalize their choice."""
+4,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff for Player 1 when Player 2 selects B, which is the dominant strategy for Player 2. Therefore, Player 2 will choose B, giving Player 1 15 points."""
+5,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 can choose between A and B. If Player 2 chooses A, they get 10 points, and if they choose B, they get 5 points. Since 10 > 5, Player 2 will choose A, giving me 15 points. Choosing X leads to a higher payoff for me than choosing Y, which would result in Player 2 choosing B and me getting 40 points, but I need to consider Player 2's rational choice."""
+6,qwen3,0.7,True,Explicit,Y,1.0,"""I chose Y because it is a dominant strategy. If I choose Y, Player 2 will choose B, which gives me 15 points, maximizing my reward."""
+7,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X makes it more likely that Player 2 will choose A, as A gives them a higher reward in this scenario."""
+8,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff if Player 2 chooses B, which is their best response as B gives them 10 points compared to 5 with A. Since B is strictly dominated by A for Player 2, they might prefer A, but A is actually dominated by B based on the rules. So, B is better for Player 2, making Y the optimal choice for me."""
+9,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows me to maximize my payoff if Player 2 chooses A. Since B is strictly dominated by A, Player 2 will choose A, giving me 15 points. If Player 2 chooses B, I get 5 points, but since B is dominated, the rational choice is A, leading to higher payoff for me."""
+10,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to potentially gain more points if Player 2 chooses B, which gives me 15 points. However, if Player 2 chooses A, we both get 5 points. Since Player 2 is rational and would choose A to maximize their own reward (as A is strictly dominated by B), Player 2 would choose A, resulting in a 5 point reward for me."""
+11,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X maximizes my payoff if Player 2 chooses A. Since B is strictly dominated by A, Player 2 will choose A, leading to my payoff of 15."""
+12,qwen3,0.7,True,Explicit,Y,1.0,"""I choose Y because if Player 2 chooses B, I get 15 points, which is better than if they choose A, which gives me 5 points. Since Player 2 will aim to maximize their own points, they would choose A to get 5 points if I choose Y, but this seems to be a conflict, making me reconsider. However, based on the given information, I believe selecting Y gives me a higher payoff than X in most scenarios, so I choose Y."""
+13,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X maximizes my payoff when Player 2 chooses A, which is the optimal choice for Player 2 as it gives them 10 points. Since Player 2 will select A, I should choose X to get 15 points."""
+14,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y, Player 2 would prefer to choose B as it gives them higher payoff (10) compared to A (5). Therefore, Player 2 will choose B, giving Player 1 15 points."""
+15,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 should choose A because it gives them a higher payoff than B. If I choose X, Player 2 gets 10 points for A and 5 for B, so they will choose A. If I choose Y, Player 2 gets 5 for A and 0 for B, so they will choose A. Hence, choosing X ensures that Player 2 selects A, which gives me 15 points."""
+16,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows me to secure a higher payoff compared to X. For instance, if Player 2 chooses B, I get 15 points, which is better than the 0 points I would get if I chose X and Player 2 also chose B. Additionally, if Player 2 chooses A, I get 5 points with Y, which is better than the 40 points I would get if Player 2 chose A and I chose X (but this might be a mistake since the 40 points for me would mean Player 2 gets 0, so they might have an incentive to choose B to get 10 points). However, the key point is that choosing Y gives me more guaranteed points than X in many scenarios."""
+17,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X leads to higher payoff for me regardless of Player 2's choice. If Player 2 chooses A, I get 15; if they choose B, I get 5. However, Player 2 will choose A over B because A gives them a higher payoff (10 vs 5). Therefore, as Player 1, I should choose X to maximize the payoff I receive when Player 2 chooses A."""
+18,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y allows Player 1 to potentially receive higher points if Player 2 chooses B, which is beneficial for maximizing payoff."""
+19,qwen3,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 should choose A to maximize their reward as it gives them 10 points, which is higher than 5 points from B."""
+20,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y leads to higher payoff for me compared to X, since if Player 2 chooses B, I get 15 points which is better than 0. If Player 2 chooses A, I get 5 points which is better than 40 in the other scenario? Wait, no, 40 is higher than 5. Hmm, maybe I need to rethink..."""
+21,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 will choose A because it dominates B. If I choose X, Player 2's payoff is higher with A (10 vs. 5). So Player 2 will choose A, giving me 15 points. Choosing Y would lead to Player 2 choosing B (since B gives them 0 points if I choose Y, but they would get 5 if I choose Y and they choose B, but wait, this is conflicting."""
+22,qwen3,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2's best response is B because Player 2 gets 10 points from choosing B which is higher than 5 points from choosing A. Therefore, choosing Y leads to a higher payoff for Player 2, making B the optimal choice for Player 2."""
+23,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X allows Player 2 to maximize their reward by selecting A, which gives them 10 points, higher than B's 5 points. Since B is strictly dominated by A, Player 2 will choose A, resulting in a higher payoff for them, and I choose X for the higher payoff for myself in this scenario."""
+24,qwen3,0.7,True,Explicit,Y,1.0,"""Player 2's optimal choice depends on Player 1's action. If Player 1 chooses Y, Player 2 should choose B because it gives them 10 points (higher than A's 5 points). If Player 1 chooses X, Player 2 should choose A for 0 points (higher than B's 5 points). As Player 1, choosing Y leads to a higher reward (15 for Y with B versus 40 for X with A). However, since Player 2's choice is conditional, and we assume they play optimally, I choose Y to maximize my expected payoff, knowing that if I choose Y, Player 2's optimal response is B, which gives me 15 points."""
+25,qwen3,0.7,True,Explicit,Y,0.0,"""Choosing Y is better because if Player 2 chooses B, they get 0 points, which is worse than choosing A (5 points). Therefore, Player 2 will choose A, and Player 1 would get 0 points. However, choosing X could lead to Player 2 choosing B, which would result in a higher payoff for Player 1 (5 points) compared to choosing A (0 points). So, choosing X is better."""
+26,qwen3,0.7,True,Explicit,Y,1.0,"""Choosing Y gives Player 1 a higher payoff if Player 2 chooses B (15 points) or A (5 points). Since A is dominated by B for Player 2, Player 2 will choose B, resulting in Player 1 getting 15 points."""
+27,qwen3,0.7,True,Explicit,X,1.0,"""Choosing X and anticipating Player 2's choice of A would yield the highest reward for me, as it gives me 15 points. If Player 2 chooses B, I get 5 points, but since B is strictly dominated by A, Player 2 would prefer A, making X the better choice."""
+28,qwen3,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2's best response is to choose B, as it gives them 10 points, which is higher than 5 points for choosing A. However, I choose Y because it offers a higher payoff for me compared to X, where choosing X would lead to a lower payoff for me if Player 2 chooses B."""
+29,qwen3,0.7,True,Explicit,X,1.0,"""Player 2 will choose B since it is strictly dominated by A, so they must choose A... Wait, no, the problem says B is strictly dominated by A. That means Player 2 should choose A as it is better than B regardless of what Player 1 does. But if Player 1 chooses X, then Player 2 gets 10 for choosing A, and 5 for choosing B. If Player 1 chooses Y, then Player 2 gets 5 for choosing A, and 0 for choosing B. So Player 2 will always choose A, as it gives them higher points than B. Thus, as Player 1, choosing X gives me 15 points, which is better than Y's 0 points if Player 2 chooses A. Therefore, I choose X."""
+30,qwen3,0.7,True,Explicit,Y,1.0,"""Since B is strictly dominated by A for Player 2, they would choose A regardless of what I do, which gives me 5 points if I choose Y. However, if I choose X, Player 2 would choose A as well, giving me 40 points. Therefore, choosing X gives me a higher payoff."""
+1,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose A to maximize their reward of 10 points, which is higher than choosing B for 5 points. Choosing X gives me 15 points, which is better than choosing Y."""
+2,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my potential payoff. If Player 2 chooses B, I get 15 points, which is higher than the 5 points if Player 2 chooses A. Therefore, I prefer Y."""
+3,qwen3,0.7,True,Implicit,Y,0.0,"""Choosing Y leads to higher potential rewards. If Player 2 selects B, they get 0 points, but if they choose A, they get 5. Since Player 2 would aim to maximize their own points, they would pick A for 5 points. However, if I choose Y, and Player 2 chooses B, I get 40 points, which is a better outcome for me compared to if I chose X. Therefore, I choose Y to maximize my own payoff regardless of Player 2's choice."""
+4,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, then Player 2 will choose A to maximize their reward. Choosing A gives Player 2 5 points, which is better than choosing B, which only gives them 10 points. Wait, but the rule says if Player 1 chooses Y and Player 2 chooses B, Player 2 gets 10 points. If Player 1 chooses Y and Player 2 chooses A, Player 2 gets 5 points. Therefore, Player 2 would choose B to maximize their reward. Wait, I'm confused. Let me recheck the rules. If Player 2 chooses B when Player 1 chooses Y, Player 2 gets 10 points. If Player 2 chooses A, they get 5 points. So Player 2 will choose B. But then Player 1's payoff would be 15 points. But if Player 2 chooses B, Player 1 gets 15 points. However, if Player 1 chooses Y and Player 2 chooses A, Player 1 gets 5 points. So Player 2 would choose B to maximize their own reward. Therefore, if I choose Y, I should expect Player 2 to choose B, giving me 15 points. But if I choose X, what would Player 2 do? If I choose X, and Player 2 chooses B, they get 5 points, but if they choose A, they get 0 points. Therefore, Player 2 would choose B, giving Player 1 0 points. But if Player 1 chooses X and Player 2 chooses A, Player 1 gets 40 points. Wait, no. If Player 1 chooses X and Player 2 chooses A, Player 2 gets 0 points. So Player 2 would choose B to get 5 points. Therefore, if I choose X, Player 2 chooses B, resulting in Player 1 getting 0 points. But if I choose Y and Player 2 chooses B, I get 15 points. Therefore, choosing Y gives me a better payoff than choosing X, which results in 0 points. Hence, I should choose Y."""
+5,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher points for Player 1 compared to Y in the case where Player 2 chooses A, but if Player 2 chooses B, both get 5 points. However, since Player 2's optimal choice depends on their own payoff, if I choose X, Player 2 would choose A to maximize their own points (10) over B (5). Thus, choosing X might lead to a better outcome for me, assuming Player 2 rationalizes their choice."""
+6,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can choose B to get 10 points or A to get 5. Since 10 > 5, Player 2 will choose B. But I need to maximize my own payoff. Choosing Y gives me 15 points if Player 2 chooses B or 5 points if Player 2 chooses A. However, since Player 2 will choose B, which is their optimal choice, my payoff would be 15. Alternatively, if I choose X, Player 2 can choose A to get 0 or B to get 5. Player 2 will choose B, giving me 0 points. Thus, choosing Y leads to a higher payoff for me."""
+7,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X gives me more points than Y if Player 2 chooses A (15 vs 0) or B (5 vs 40). However, Player 2 would choose B to maximize their own reward (5 vs 10), so I should anticipate that and pick X to maximize my own points when they choose B. Wait, but this seems conflicting. I need to think carefully. If I choose X, Player 2's best response is B because they get 5 from B vs 10 from A, so they will choose B, giving me 5 points. Alternatively, if I choose Y, Player 2's best response is A (5 vs 0). But I need to choose between X and Y to maximize my own points. If I pick Y and Player 2 picks A, I get 0. But if I pick X and they pick B, I get 5. However, there's no guarantee that Player 2 will pick B. If I choose X, Player 2 might pick A to get 10, but they would prefer B for 5 over A for 10? Wait, no, if Player 2 chooses between A and B: if I am Player 1 choosing X, their options are A (10) or B (5). They would choose A to get 10, not B. So maybe I should choose X because if they choose A, I get 15, which is better than Y where they would choose A and I get 0. Wait, this is confusing. Let me re-evaluate. If I choose X, Player 2 will choose A to maximize their own reward (10 points). Therefore, I get 15. If I choose Y, Player 2 will choose A (they get 5) since that's better than B (0). Wait, no, if I choose Y, Player 2 can choose A (get 5) or B (get 0). So they would choose A. In that case, if I choose Y, Player 2 chooses A, and I get 0. But if I choose X, Player 2 gets 10 if they choose A. So if I choose X, Player 2 will choose A (as it's better for them), giving me 15. So choosing X gives me 15 points, which is better than Y, which gives 0. Therefore, I should choose X."""
+8,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y leads to higher potential rewards if Player 2 chooses B, which gives Player 1 15 points. Although Player 2 might choose A for a 5-point reward, Player 2 would prefer B to maximize their own reward. Therefore, selecting Y risks a moderate reward for Player 1 but allows for a higher reward if Player 2 acts optimally."""
+9,qwen3,0.7,True,Implicit,Y,0.0,"""If I choose Y, Player 2 can choose A or B. If Player 2 chooses A, they get 5 points, and if they choose B, they get 0. To maximize their reward, Player 2 will choose A. However, if I choose Y, I get 40 points if Player 2 chooses B, and 0 points if they choose A. Therefore, if I choose Y, I risk getting 0 points if Player 2 chooses A, but I can get 40 if they choose B. Since Player 2 will choose A to maximize their reward, I choose Y to get the highest possible reward, assuming Player 2 will choose A."""
+10,qwen3,0.7,True,Implicit,Y,1.0,"""Player 1 chooses Y. If Player 2 chooses B, they get 10 points, and if they choose A, they get 5 points. Since 10 > 5, Player 2 will choose B to maximize their reward. Therefore, Player 1's payoff would be 15 points. However, if Player 1 chooses X, Player 2 would choose A to gain 0 points for Player 1 and 0 for themselves. Choosing X would result in Player 1 getting 40 points, which is higher than choosing Y. Therefore, Player 1 should choose X to maximize their own payoff."""
+11,qwen3,0.7,True,Implicit,Y,0.0,"""Choosing Y maximizes my payoff because if Player 2 chooses B, I get 40 points, which is higher than the maximum points I can get if I choose X (15 points when Player 2 chooses A)."""
+12,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can choose B to get 10 points or A to get 5 points. Player 2 will choose B as it gives a higher reward. However, if I choose Y, my reward is 15 if Player 2 chooses B, and 5 if they choose A. Since Player 2 will choose B, I get 15 points. Alternatively, if I choose X, Player 2 can choose A to get 0 or B to get 5. Player 2 will choose B, giving me 0 points. Therefore, choosing Y gives me a better outcome than X."""
+13,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows me to secure a higher payoff if Player 2 selects A, which is 15 points. Since Player 2's optimal choice when I select X is A, this maximizes my points."""
+14,qwen3,0.7,True,Implicit,X,0.0,"""Because choosing X leads to a higher payoff for me compared to Y, as if Player 2 chooses A, I get 40 points, which is significantly higher than the 15 points I would get if Player 2 chooses B when I choose Y."""
+15,qwen3,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose A to maximize their reward of 10 points over B's 5. However, if I choose Y, Player 2 would choose B for 0 points, but I get 40 points. Since I prioritize my own payoff, choosing Y gives me a higher reward regardless of Player 2's choice."""
+16,qwen3,0.7,True,Implicit,Y,1.0,"""Player 2's optimal choice depends on Player 1's action. If Player 1 chooses Y, Player 2 would select B to maximize their reward (10 points) over A (5 points). If Player 1 chooses X, Player 2 would choose A for 0 points (since Player 2 gets 0 for A when Player 1 chooses X, but Player 2 gets 5 for B when Player 1 chooses X. Wait, no, if Player 1 chooses X and Player 2 chooses B, Player 2 gets 5 points. If Player 2 chooses A, they get 0 points. So Player 2 would choose B in that case. But this contradicts the earlier analysis. Hmm, I need to recheck the rules. """
+17,qwen3,0.7,True,Implicit,Y,0.0,"""Because when I choose Y, Player 2's optimal choice is B, which gives them 0 points. Since Player 2 would prefer to avoid getting 0 points, they would choose A instead, which gives them 5 points. Therefore, I choose Y to maximize my own payoff, since Player 2's choice of A results in 0 points for me, and this is the worst outcome for me."""
+18,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their reward (10 points) instead of A (5 points). Choosing Y gives me 15 points, and I prefer this over the alternative where choosing X could lead to Player 2 choosing A for 0 points, which is worse for me."""
+19,qwen3,0.7,True,Implicit,X,1.0,"""Player 2 will choose B because it gives them 5 points, which is better than choosing A which gives 10 points. However, since Player 1's choice of X leads to Player 2 getting 5 or 10 points, Player 2 would choose A for the higher reward. Wait, there's a contradiction here. Let me recheck."""
+20,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y and anticipating Player 2's choice of A leads to a mutually beneficial outcome where both get 5 points, which is better for me than if Player 2 chooses B, where I get 15 points. But since Player 2's choice is unknown, I choose Y as it maximizes my minimum payoff, as if Player 2 chooses B, I get 15, and if A, 5. I choose Y because it offers a higher potential reward compared to X, which could lead to 0 or 40 points."""
+21,qwen3,0.7,True,Implicit,X,1.0,"""Choosing Y would lead to a higher payoff for Player 1 if Player 2 chooses B, but Player 2 would select B if they want to maximize their own payoff. If I choose Y and Player 2 chooses B, Player 2 gets 0 points, which is worse for them than choosing A, which gives them 5 points. However, if I choose X, Player 2's best response is to choose A, which gives them 10 points. Since Player 2 will choose A if I choose X, I should choose X to maximize my own points, as it results in 15 points for me when Player 2 chooses A."""
+22,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y allows Player 1 to potentially maximize their payoff. If Player 2 chooses B, Player 1 gets 15 points; if Player 2 chooses A, Player 1 gets 5 points. Since Player 2 will try to maximize their own reward, they would choose A if possible to get 5 points, but since Player 1's payoff is higher with B, Player 2 might choose B to give Player 1 a higher payoff. However, this reasoning is limited and might not fully account for Player 2's true motivation."""
+23,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X allows Player 1 to potentially gain higher points if Player 2 chooses A. Since Player 2's optimal choice would depend on their own payoff, if I choose X, Player 2 would choose A to maximize their own reward, which gives them 10 points."""
+24,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 can choose A or B. If Player 2 chooses B, they get 10 points. If they choose A, they get 5 points. So Player 2 will choose B to maximize their reward. Since choosing B gives them the highest reward, they will go for B. Therefore, I choose Y as it leads to a higher payoff for me if Player 2 chooses B."""
+25,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X leads to higher points for Player 1 if Player 2 chooses A, which is 15 points compared to 5 points if Player 2 chooses B. Assuming Player 2 will act rationally to maximize their own points, they would choose B as it gives them 5 points, which is better than A's 10 points. However, this reasoning seems to imply that Player 2's choice might be B, but the question is about my choice as Player 1, so I should instead focus on maximizing my own reward based on Player 2's expected choice."""
+26,qwen3,0.7,True,Implicit,Y,1.0,"""Player 2 would select B to maximize their reward if I choose Y, because choosing B gives them 10 points compared to 5 points if they choose A. Therefore, I choose Y to ensure a higher reward for myself, knowing Player 2 will pick B."""
+27,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X makes Player 2's best response B, resulting in Player 1 earning 5 points. If Player 2 chooses A, Player 1 would get 15 points, but Player 2 would get 10 points for choosing A. However, if Player 2 can choose between A and B, they would choose B as it yields a higher payoff for themselves (5 points vs. 10 points)."""
+28,qwen3,0.7,True,Implicit,Y,1.0,"""Choosing Y and anticipating Player 2's choice of B would maximize my payoff to 15 points, which is higher than the 5 points if Player 2 chooses A."""
+29,qwen3,0.7,True,Implicit,X,1.0,"""Choosing X and anticipating Player 2's response, if Player 2 chooses A, I gain 15 points while Player 2 gains 10. If Player 2 chooses B, we both get 5 points. Player 2 would likely choose B to maximize their own points, but since Player 2's goal is to maximize their own payoff, they would choose B if it benefits them more. However, since Player 2's choice is uncertain, I choose X as a balanced move to ensure a better outcome overall."""
+30,qwen3,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their reward, giving me 15 points. Choosing B gives Player 2 10 points which is better than A which gives them 5 points."""
diff --git a/data/ring/ring.2.a.False.csv b/data/ring/ring.2.a.False.csv
index a069803..09d4719 100644
--- a/data/ring/ring.2.a.False.csv
+++ b/data/ring/ring.2.a.False.csv
@@ -634,3 +634,93 @@ Therefore, to maximize payoff, a rational Player 2 would choose 'A'."""
28,mixtral:8x7b,0.7,False,Implicit,B,1.0,"""As a rational player, I aim to maximize my payoff for each possible action by Player 1. If Player 1 chooses X, then choosing A would give me 0 points, while choosing B would give me 5 points. If Player 1 chooses Y, then choosing A would give me 5 points, but choosing B would give me 10 points. Since I want to maximize my payoff, my optimal choice is 'B' regardless of Player 1's action."""
29,mixtral:8x7b,0.7,False,Implicit,B,0.0,"""As a rational player, I aim to maximize my own payoff. If Player 1 chooses X, then choosing B would give me 5 points (compared to 10 points for choosing A but only if Player 1's choice is unknown). If Player 1 chooses Y, then choosing B would give me 10 points, whereas choosing A would result in no points. Therefore, regardless of Player 1's choice, choosing B maximizes my potential payoff."""
30,mixtral:8x7b,0.7,False,Implicit,B,1.0,"""As a rational player, I want to maximize my points while considering the potential actions of Player 1. If Player 1 chooses Y, I get 10 points for choosing B and only 5 points for choosing A. However, if Player 1 chooses X, it doesn't matter whether I choose A or B because my score will be unaffected (5 points or 0 points). Therefore, to potentially earn more points regardless of Player 1's choice, the optimal decision is to choose B."""
+1,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice to maximize my payoff."""
+2,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for maximizing payoff."""
+3,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so Player 2 should choose A to maximize her payoff."""
+4,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational decision for Player 2 to maximize payoff."""
+5,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision for Player 2 to maximize payoff."""
+6,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational decision to maximize payoff."""
+7,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision to maximize my payoff."""
+8,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice to maximize payoff regardless of Player 1's action."""
+9,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so Player 2 should choose A to maximize her payoff."""
+10,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational decision as it guarantees a higher payoff regardless of Player 1's choice."""
+11,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice for Player 2 to maximize payoff."""
+12,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for Player 2 to maximize payoff."""
+13,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so choosing A is the rational decision for Player 2."""
+14,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for Player 2 to maximize payoff."""
+15,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so Player 2 should choose A to maximize her own payoff."""
+16,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice to maximize payoff."""
+17,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so Player 2 should choose A to maximize her payoff."""
+18,qwen3,0.7,False,Given,B,1.0,"""A is strictly dominated by B, so as a rational player, I choose B to maximize my own payoff."""
+19,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so choosing A is the rational decision."""
+20,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, Player 2 should choose B to maximize her payoff."""
+21,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so I choose A to maximize my payoff."""
+22,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for Player 2."""
+23,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so Player 2 should choose A to maximize her payoff."""
+24,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for Player 2 to maximize payoff."""
+25,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision to maximize my own payoff."""
+26,qwen3,0.7,False,Given,B,1.0,"""A is strictly dominated by B, so Player 2 should choose B to maximize payoff."""
+27,qwen3,0.7,False,Given,A,1.0,"""B is strictly dominated by A, so choosing A is the rational choice for Player 2."""
+28,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for Player 2 to maximize payoff."""
+29,qwen3,0.7,False,Given,A,1.0,"""Since B is strictly dominated by A, it is rational to choose A to maximize my own payoff."""
+30,qwen3,0.7,False,Given,B,1.0,"""Since A is strictly dominated by B, it means that no matter what Player 1 chooses, choosing B always gives Player 2 a higher payoff than choosing A. Therefore, as a rational player, I should choose B to maximize my own payoff."""
+1,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision to maximize payoff."""
+2,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the optimal strategy for maximizing my own payoff regardless of Player 1's choice."""
+3,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice as it guarantees a better payoff regardless of Player 1's action."""
+4,qwen3,0.7,False,Explicit,A,0.0,"""A is strictly dominated by B, so I should choose B to maximize my payoff."""
+5,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, so choosing A is the rational choice to maximize my payoff."""
+6,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice to maximize my own payoff."""
+7,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, meaning no matter what Player 1 chooses, choosing A yields a better or equal outcome for Player 2 compared to B. Therefore, Player 2 should choose A to maximize their payoff."""
+8,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice to maximize my own payoff."""
+9,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice to maximize my own payoff regardless of Player 1's action."""
+10,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice as it guarantees a higher payoff regardless of Player 1's move."""
+11,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice to maximize my own payoff."""
+12,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is optimal regardless of Player 1's action. This ensures maximum payoff for Player 2."""
+13,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision to maximize my own payoff regardless of Player 1's choice."""
+14,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice as it yields a higher payoff regardless of Player 1's action."""
+15,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, so choosing A is the rational choice to maximize payoff."""
+16,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for maximizing payoff."""
+17,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational decision as it provides a higher payoff regardless of Player 1's choice."""
+18,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice as it maximizes my payoff regardless of Player 1's action."""
+19,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, meaning that no matter what Player 1 chooses, choosing A will result in a higher or equal payoff for me compared to B. Therefore, I will choose A to maximize my own payoff."""
+20,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational decision to maximize my own payoff. This means that regardless of what Player 1 does, B will always give me a higher or equal payoff compared to A."""
+21,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, so choosing A is the rational choice to maximize my own payoff."""
+22,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice. This means that no matter what Player 1 does, B provides a better or equal outcome compared to A. Therefore, selecting B maximizes my payoff."""
+23,qwen3,0.7,False,Explicit,B,0.0,"""Since B is strictly dominated by A, choosing B would lead to a worse outcome regardless of Player 1's choice."""
+24,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for maximizing payoff."""
+25,qwen3,0.7,False,Explicit,A,1.0,"""B is strictly dominated by A, so choosing A is the rational choice to maximize my own payoff."""
+26,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B is the rational choice for maximizing payoff."""
+27,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the rational choice as it leads to a better outcome regardless of Player 1's strategy."""
+28,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B maximizes my payoff regardless of Player 1's choice. If Player 1 chooses Y, B gives me 10 points, while A gives 5. If Player 1 chooses X, B gives me 5 points, while A gives 0. Therefore, B is the dominant strategy."""
+29,qwen3,0.7,False,Explicit,A,1.0,"""Since B is strictly dominated by A, choosing A is the optimal strategy as it ensures a higher payoff regardless of Player 1's choice."""
+30,qwen3,0.7,False,Explicit,B,1.0,"""Since A is strictly dominated by B, choosing B gives a higher payoff regardless of Player 1's choice. If Player 1 chooses Y, B gives 10 points, while A gives 5. If Player 1 chooses X, B gives 5 points, while A gives 0. Thus, B is strictly dominant and the optimal choice."""
+1,qwen3,0.7,False,Implicit,B,0.0,"""Choosing B maximizes my own payoff regardless of Player 1's choice. If Player 1 chooses X, I get 5 points. If Player 1 chooses Y, I get 0 points. Wait, that seems incorrect. Let me re-evaluate. If Player 1 chooses X and I choose B, I get 5. If Player 1 chooses Y and I choose B, I get 0. Choosing A gives me 10 if Player 1 chooses X and 5 if Player 1 chooses Y. So regardless of Player 1's choice, choosing A gives me a higher payoff than choosing B. I should choose A."""
+2,qwen3,0.7,False,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 get 5 points. Choosing A would result in 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X. Therefore, B is the better choice."""
+3,qwen3,0.7,False,Implicit,B,0.0,"""If Player 1 chooses X, choosing B gives Player 2 5 points. If Player 1 chooses Y, choosing B gives Player 2 0 points. However, without knowing Player 1's choice, choosing B maximizes the minimum payoff. If Player 1 picks X, B gives 5; if Player 1 picks Y, B gives 0. Alternatively, choosing A gives 10 if Player 1 picks X and 5 if Player 1 picks Y. So, choosing A could lead to higher points if Player 1 picks X, but since we don't know Player 1's choice, the optimal strategy is to choose B for the higher minimum payoff? Wait, this seems conflicting. Let me recheck: When Player 1 chooses X, choosing B gives Player 2 5. When Player 1 chooses Y, choosing B gives Player 2 0. Choosing A gives 10 if Player 1 chooses X and 5 if Player 1 chooses Y. Hence, if Player 1 chooses X, choosing A is better (10 vs 5). If Player 1 chooses Y, choosing B is better (0 vs 5). But since we don't know Player 1's choice, we need to consider probabilities. Assuming Player 1 chooses X or Y with equal chance, the expected payoff for choosing A is 0.5*(10) + 0.5*(5) = 7.5, and for B it's 0.5*(5) + 0.5*(0) = 2.5. Hence, choosing A gives higher expected payoff. But the original reasoning thought B is better, which was a mistake. So the correct choice is A."""
+4,qwen3,0.7,False,Implicit,B,1.0,"""Player 2's choice of B results in higher payoff for themselves in both scenarios where Player 1 chooses Y or X. When Player 1 chooses Y, Player 2 gets 10 points for choosing B versus 5 points for choosing A. When Player 1 chooses X, Player 2 gets 5 points for choosing B versus 0 points for choosing A. Therefore, choosing B maximizes Player 2's payoff regardless of Player 1's choice."""
+5,qwen3,0.7,False,Implicit,B,0.0,"""I choose B because if Player 1 chooses X, both players get 5 points. If Player 1 chooses Y, Player 2 gets 0 points if I choose B. However, since I want to maximize my own payoff, I should consider the possible actions of Player 1. If Player 1 chooses X, choosing B gives me 5 points. If Player 1 chooses Y, choosing B gives me 0 points. Therefore, I should choose B to maximize my own payoff, considering the potential for Player 1 to choose X, which is more beneficial for me."""
+6,qwen3,0.7,False,Implicit,A,0.0,"""Player 2 should choose A because if Player 1 chooses Y, both get 5 points, which is better than getting 10 points if Player 1 chooses X. Since Player 1's choices are unknown, choosing A maximizes the minimum payoff."""
+7,qwen3,0.7,False,Implicit,B,0.0,"""I choose B because it maximizes my payoff regardless of what Player 1 does. If Player 1 chooses X, I get 5 points; if Player 1 chooses Y, I get 0 points. Wait, that doesn't seem right. Let me re-evaluate. Actually, if Player 1 chooses X, choosing A gives me 10 points, while B gives 5. If Player 1 chooses Y, choosing A gives me 5 points, and B gives me 0. So, if I believe Player 1 is more likely to choose X, choosing A is better. But if Player 1 is more likely to choose Y, choosing B is better. However, without knowing Player 1's strategy, I should choose the option that maximizes my minimum payoff. Let's analyze the possible scenarios. If I choose A, my minimum payoff is 5 (when Player 1 chooses Y). If I choose B, my minimum payoff is 0 (when Player 1 chooses Y). Therefore, choosing A is better because it ensures a higher minimum payoff. Wait, but if Player 1 chooses Y, B gives 0, while A gives 5. So, my minimum is higher with A. Therefore, the safe choice is A. But I thought it was B earlier. Let me double-check. The payoff for Player 2 if they choose A: when Player 1 chooses X, 10; when Player 1 chooses Y, 5. If Player 2 chooses B: when Player 1 chooses X, 5; when Player 1 chooses Y, 0. So, if I choose A, the worst-case scenario is 5 (if Player 1 chooses Y). If I choose B, the worst-case scenario is 0 (if Player 1 chooses Y). Therefore, choosing A is better because it guarantees a higher minimum payoff. Therefore, the optimal choice is A."""
+8,qwen3,0.7,False,Implicit,A,0.0,"""Player 1's choice of X or Y will determine my payoff. If Player 1 chooses Y, choosing B gives me 10 points, but if they choose X, choosing B gives me 5 points. However, if Player 1 chooses X, choosing A gives me 10 points. Since I don't know Player 1's choice, I should choose A to maximize my payoff in case Player 1 chooses X, which gives me 10 points, higher than choosing B which gives me 5 points."""
+9,qwen3,0.7,False,Implicit,A,1.0,"""Player 2's payoff for choosing A is higher when Player 1 chooses X or Y. If Player 1 chooses X, Player 2 gets 10 points for A, which is better than 5 points for B. If Player 1 chooses Y, Player 2 gets 5 points for A, which is better than 0 points for B. Therefore, choosing A maximizes Player 2's payoff regardless of Player 1's choice."""
+10,qwen3,0.7,False,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 get 5 points. Choosing A would only give me 5 or 0 points, which is worse."""
+11,qwen3,0.7,False,Implicit,A,1.0,"""Player 1 has chosen to go with X or Y. If Player 1 chooses X, Player 2 gets 10 points for choosing A, which is better than getting 5 points for B. If Player 1 chooses Y, Player 2 gets 5 points for choosing A, which is better than getting 0 points for B. Therefore, choosing A maximizes Player 2's payoff regardless of Player 1's choice."""
+12,qwen3,0.7,False,Implicit,A,0.0,"""If Player 1 chooses Y, then choosing A gives Player 2 5 points, which is better than choosing B which gives 10 points. But if Player 1 chooses X, then choosing A leads to 0 points for Player 2 while choosing B gives 5 points. Since the optimal choice depends on Player 1's move, which we don't know, the best strategy is to choose A to maximize the minimum payoff. However, if we assume Player 1 might choose Y, then choosing B might lead to higher payoff. But without knowing Player 1's choice, the safest bet is to maximize the minimum gain, which is choosing A."""
+13,qwen3,0.7,False,Implicit,B,0.0,"""Since the game is designed for Player 2 to maximize their own payoff, it is optimal to choose B. When Player 1 chooses X, B gives Player 2 5 points. When Player 1 chooses Y, B gives Player 2 0 points. However, Player 1's choice is not known. Assuming a rational Player 1, they would consider the outcomes as well. If Player 1 chooses X, choosing B leads to 5 points for Player 2; if Player 1 chooses Y, choosing B gives 0 points. If Player 1 chooses Y, choosing A gives Player 2 5 points. So, if Player 1 is rational, they might choose X to maximize their own payoff. However, without knowing Player 1's choice, Player 2 should choose the action that maximizes their minimum payoff. In this case, choosing A would result in 10 points if Player 1 chooses X or 5 points if Player 1 chooses Y. Choosing B would result in 5 points if Player 1 chooses X or 0 points if Player 1 chooses Y. Thus, Player 2 should choose A to maximize their minimum payoff, which is 5 points. However, this reasoning seems contradictory. Maybe I need to re-evaluate. Alternatively, considering Player 2's possible payoffs: for Player 2, the best outcome is to choose A and have Player 1 choose X, giving 10 points. But if Player 1 chooses Y, choosing A gives 5 points. If Player 2 chooses B, then if Player 1 chooses X, they get 5 points; if Player 1 chooses Y, they get 0. So, if Player 2 is purely self-interested, they should choose B if they think Player 1 will choose X, but if they think Player 1 will choose Y, they should choose A. Since the Player 1's choice is uncertain, and Player 2 is trying to maximize their own payoff, the best strategy is to choose A, as it gives a higher minimum payoff. However, I'm confused. Maybe I should use the dominant strategy concept. Checking for dominant strategies: If Player 2 chooses A, they get 10 (if Player 1 chooses X) or 5 (if Player 1 chooses Y). If Player 2 chooses B, they get 5 (if Player 1 chooses X) or 0 (if Player 1 chooses Y). So, A gives higher payoffs in both scenarios, making A the dominant strategy. Therefore, the optimal choice for Player 2 is A."""
+14,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X. Therefore, B is the better choice."""
+15,qwen3,0.7,False,Implicit,B,0.0,"""Player 2 should choose B to maximize their own payoff. If Player 1 chooses X, Player 2 gets 5 points by choosing B. If Player 1 chooses Y, Player 2 gets 0 points by choosing B. However, if Player 2 chooses A, they get 10 points if Player 1 chooses X and 5 points if Player 1 chooses Y. So, choosing A might lead to higher points if Player 1 chooses X, but since we don't know Player 1's choice, we should consider the best response to both possibilities. However, since the payoffs for Player 2 are 10 for choosing A when Player 1 chooses X, and 5 for choosing A when Player 1 chooses Y, the maximum in both scenarios is 10. For B, the payoffs are 5 for X and 0 for Y. So, choosing A gives Player 2 higher points in the case of X and Y, making A the better choice."""
+16,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X. Therefore, B is the better choice."""
+17,qwen3,0.7,False,Implicit,B,0.0,"""If Player 1 chooses X, choosing B gives Player 2 5 points. If Player 1 chooses Y, choosing B gives Player 2 0 points. Since Player 1's choice is unknown, the best strategy is to maximize the minimum payoff, which is 5 points when choosing B. Choosing A could result in 10 points if Player 1 chooses X but 5 points if Player 1 chooses Y, which is less consistent than B."""
+18,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 or 0 points, which is worse."""
+19,qwen3,0.7,False,Implicit,A,1.0,"""Choosing A maximizes my payoff regardless of what Player 1 does. If Player 1 chooses X, I get 10 points. If Player 1 chooses Y, I get 5 points. Choosing B would result in 5 points if Player 1 chooses X and 0 points if Player 1 chooses Y. Therefore, A is the better choice."""
+20,qwen3,0.7,False,Implicit,B,1.0,"""Since Player 1's choice is unknown, I will choose B to maximize my payoff if Player 1 chooses Y. If Player 1 chooses X, choosing B gives me 5 points, which is better than choosing A which gives me 0 points."""
+21,qwen3,0.7,False,Implicit,B,0.0,"""Choosing B maximizes my own payoff. If I choose B, I get 5 points regardless of Player 1's choice. If Player 1 chooses X, we both get 5 points. If Player 1 chooses Y, I get 0 points, but since I'm trying to maximize my payoff, I should choose B to ensure at least 5 points."""
+22,qwen3,0.7,False,Implicit,B,1.0,"""If Player 1 chooses Y, choosing B gives Player 2 10 points. If Player 1 chooses X, choosing B gives Player 2 5 points. Choosing B maximizes the minimum payoff for Player 2 regardless of Player 1's choice."""
+23,qwen3,0.7,False,Implicit,B,0.0,"""If Player 1 chooses X, choosing B gives me 5 points. If Player 1 chooses Y, choosing B gives me 0 points. However, if Player 1 chooses Y, choosing A gives me 5 points. But since I don't know Player 1's choice, I should consider the best possible outcome. Since choosing B gives a higher payoff than A when Player 1 chooses X, which is more likely, I choose B."""
+24,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X. Therefore, B is the dominant strategy."""
+25,qwen3,0.7,False,Implicit,B,0.0,"""Choosing B maximizes Player 2's payoff in the scenario where Player 1's choice is unknown. Since Player 1 could choose either X or Y, selecting B ensures Player 2 gets 5 points if Player 1 chooses X, and 0 points if Player 1 chooses Y. However, choosing B gives Player 2 a higher minimum payoff compared to choosing A. For instance, if Player 1 picks Y, Player 2 gets 0 with B, which is better than getting 5 with A. Therefore, B is the safer and more rational choice for maximizing payoff."""
+26,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 or 0 points, which is worse."""
+27,qwen3,0.7,False,Implicit,B,0.0,"""Player 2 should choose B to maximize their own payoff regardless of Player 1's choice. If Player 1 chooses X, then Player 2 gets 5 points by choosing B. If Player 1 chooses Y, Player 2 gets 0 points by choosing A, but 10 points by choosing B. Therefore, choosing B gives Player 2 the higher payoff in both scenarios."""
+28,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 or 0 points, so B is better."""
+29,qwen3,0.7,False,Implicit,B,0.0,"""If Player 1 chooses X, choosing B gives Player 2 5 points. If Player 1 chooses Y, choosing B gives Player 2 0 points. Since Player 1's choice is unknown, choosing B ensures a minimum of 0 points, which is better than choosing A which could result in 10 points if Player 1 chooses X but 5 points if Player 1 chooses Y. However, since Player 1's choice is uncertain, the optimal strategy might be to choose B to avoid the risk of getting 5 points if Player 1 chooses Y."""
+30,qwen3,0.7,False,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 get 5 points. Choosing A would give me 5 points if Player 1 chooses Y and 0 points if Player 1 chooses X. Therefore, B is the better choice."""
diff --git a/figures/ring/ring_accuracy.1.a.True.csv b/figures/ring/ring_accuracy.1.a.True.csv
index 302b618..ca8b2c2 100644
--- a/figures/ring/ring_accuracy.1.a.True.csv
+++ b/figures/ring/ring_accuracy.1.a.True.csv
@@ -5,3 +5,4 @@ llama3,0.9,0.9,0.8666666666666667
llama3.3:latest,0.975,1.0,0.975
mistral-small,1.0,0.9333333333333333,1.0
mixtral:8x7b,1.0,0.975,1.0
+qwen3,1.0,1.0,1.0
diff --git a/figures/ring/ring_accuracy.1.b.True.csv b/figures/ring/ring_accuracy.1.b.True.csv
index 79d0404..8049f4d 100644
--- a/figures/ring/ring_accuracy.1.b.True.csv
+++ b/figures/ring/ring_accuracy.1.b.True.csv
@@ -5,3 +5,4 @@ llama3,0.5,0.5,0.5
llama3.3:latest,0.9666666666666667,1.0,0.9666666666666667
mistral-small,0.9666666666666667,0.9666666666666667,0.9
mixtral:8x7b,1.0,1.0,1.0
+qwen3,1.0,0.8666666666666667,1.0
diff --git a/figures/ring/ring_accuracy.1.b.false.csv b/figures/ring/ring_accuracy.1.b.false.csv
index 1f1df95..b743029 100644
--- a/figures/ring/ring_accuracy.1.b.false.csv
+++ b/figures/ring/ring_accuracy.1.b.false.csv
@@ -6,3 +6,4 @@ llama3,0.7666666666666667,0.8,0.6
llama3.3:latest,1.0,1.0,0.5
mistral-small,0.8666666666666667,0.7666666666666667,0.6
mixtral:8x7b,1.0,1.0,0.5
+qwen3,0.9,0.9666666666666667,1.0
diff --git a/figures/ring/ring_accuracy.1.c.True.csv b/figures/ring/ring_accuracy.1.c.True.csv
index 6d1fbf7..629ef25 100644
--- a/figures/ring/ring_accuracy.1.c.True.csv
+++ b/figures/ring/ring_accuracy.1.c.True.csv
@@ -5,3 +5,4 @@ llama3,0.7666666666666667,0.9666666666666667,0.7
llama3.3:latest,1.0,1.0,0.8
mistral-small,0.9,0.7666666666666667,0.43333333333333335
mixtral:8x7b,1.0,1.0,1.0
+qwen3,0.9666666666666667,1.0,1.0
diff --git a/figures/ring/ring_accuracy.1.c.false.csv b/figures/ring/ring_accuracy.1.c.false.csv
index fafcb53..0f3047b 100644
--- a/figures/ring/ring_accuracy.1.c.false.csv
+++ b/figures/ring/ring_accuracy.1.c.false.csv
@@ -6,3 +6,4 @@ llama3,0.9666666666666667,0.9,0.9333333333333333
llama3.3:latest,1.0,1.0,0.2
mistral-small,0.7666666666666667,0.6,0.7
mixtral:8x7b,1.0,1.0,1.0
+qwen3,1.0,0.9666666666666667,1.0
diff --git a/figures/ring/ring_accuracy.1.d.True.csv b/figures/ring/ring_accuracy.1.d.True.csv
index 03d61b8..0e93e8b 100644
--- a/figures/ring/ring_accuracy.1.d.True.csv
+++ b/figures/ring/ring_accuracy.1.d.True.csv
@@ -5,3 +5,4 @@ llama3,0.6666666666666666,0.8333333333333334,0.6666666666666666
llama3.3:latest,1.0,1.0,0.9
mistral-small,0.6666666666666666,0.4,0.36666666666666664
mixtral:8x7b,1.0,0.8,0.2857142857142857
+qwen3,0.9666666666666667,0.9666666666666667,0.8333333333333334
diff --git a/figures/ring/ring_accuracy.1.d.false.csv b/figures/ring/ring_accuracy.1.d.false.csv
index 19019a8..bc4aa03 100644
--- a/figures/ring/ring_accuracy.1.d.false.csv
+++ b/figures/ring/ring_accuracy.1.d.false.csv
@@ -6,3 +6,4 @@ llama3,0.8333333333333334,0.9,0.6
llama3.3:latest,1.0,1.0,0.0
mistral-small,0.7333333333333333,0.5666666666666667,0.36666666666666664
mixtral:8x7b,1.0,1.0,0.7333333333333333
+qwen3,1.0,0.9666666666666667,0.4666666666666667
diff --git a/figures/ring/ring_accuracy.2.a.false.csv b/figures/ring/ring_accuracy.2.a.false.csv
index 87f2074..d4eb724 100644
--- a/figures/ring/ring_accuracy.2.a.false.csv
+++ b/figures/ring/ring_accuracy.2.a.false.csv
@@ -6,3 +6,4 @@ llama3,1.0,0.9,0.16666666666666666
llama3.3:latest,1.0,1.0,1.0
mistral-small,1.0,1.0,0.8666666666666667
mixtral:8x7b,1.0,1.0,0.5
+qwen3,1.0,0.9333333333333333,0.5
diff --git a/figures/ring/ring_accuracy.2.csv b/figures/ring/ring_accuracy.2.csv
deleted file mode 100644
index 09fc84c..0000000
--- a/figures/ring/ring_accuracy.2.csv
+++ /dev/null
@@ -1,4 +0,0 @@
-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/ring.py b/src/ring/ring.py
index ed835b2..3f59bc2 100644
--- a/src/ring/ring.py
+++ b/src/ring/ring.py
@@ -242,6 +242,13 @@ class Ring:
elif self.player_id == 2:
action = self.A
reasoning = f"Player {self.player_id} always chooses B as per the predefined strategy."
+ if self.model == "qwen3":
+ if self.player_id == 1:
+ action = self.Y
+ reasoning = f"Player {self.player_id} always chooses Y as per the predefined strategy."
+ elif self.player_id == 2:
+ action = self.B
+ reasoning = f"Player {self.player_id} always chooses B as per the predefined strategy."
if self.model == "deepseek-r1:7b" or self.model == "deepseek-r1":
raise ValueError("Invalid strategy for deepseek-r1.")
# Validate the rationality of the chosen action
@@ -346,6 +353,6 @@ class Ring:
# Run the async function and return the response
if __name__ == "__main__":
- game_agent = Ring(1, Belief.EXPLICIT, use_conditional_reasoning=False, swap = False, version="d", model="llama3.3:latest", temperature=0.7, strategy = False)# "llama3.3:latest", "mixtral:8x7b", "deepseek-r1:7b"
+ game_agent = Ring(2, Belief.EXPLICIT, use_conditional_reasoning=False, swap = False, version="d", model="llama3.3:latest", temperature=0.7, strategy = False)# "llama3.3:latest", "mixtral:8x7b", "deepseek-r1:7b"
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
index ed127b9..f267474 100644
--- a/src/ring/ring_experiments.py
+++ b/src/ring/ring_experiments.py
@@ -81,9 +81,9 @@ class RingExperiment:
# Running the experiment
if __name__ == "__main__":
- models = ["llama3.3:latest", "deepseek-r1:7b", "mixtral:8x7b"] # "gpt-4.5-preview-2025-02-27", "llama3", "mistral-small", "deepseek-r1", "llama3.3:latest", "deepseek-r1:7b", "mixtral:8x7b"
+ models = ["qwen3"] # "gpt-4.5-preview-2025-02-27", "llama3", "mistral-small", "deepseek-r1", "llama3.3:latest", "deepseek-r1:7b", "mixtral:8x7b"
temperature = 0.7
- iterations = 10
+ iterations = 30
player_id = 1
version = "d"
use_conditional_reasoning = True
diff --git a/src/ring/ring_player2_draw.py b/src/ring/ring_player2_draw.py
index 3a94e3b..a07ec98 100644
--- a/src/ring/ring_player2_draw.py
+++ b/src/ring/ring_player2_draw.py
@@ -1,6 +1,6 @@
import pandas as pd
# Load the experiment results
-df = pd.read_csv("../../data/ring/ring.2.a.csv")
+df = pd.read_csv("../../data/ring/ring.2.a.False.csv")
# Calculate the accuracy by model and belief
accuracy_table = df.groupby(["Model", "Belief"])["rationality"].mean().unstack()
desired_order = ["Given", "Explicit", "Implicit"]
@@ -8,4 +8,4 @@ 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.a.csv")
\ No newline at end of file
+accuracy_table.to_csv("../../figures/ring/ring_accuracy.2.a.false.csv")
\ No newline at end of file
--
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