diff --git a/README.md b/README.md
index 8df040cbc95b9a9cc422928e23a26974c674dc29..d0e091226ccf6dbadafd53e06dd80c45b00287aa 100644
--- a/README.md
+++ b/README.md
@@ -271,7 +271,7 @@ We introduce a prompt engineering method that incorporates Conditional Reasoning
an opponent’s optimal response to each of its own possible actions to encourage strategic foresight and
informed decision-making.
-Table below evaluates the models' ability to generate second-order rational behaviour for player 1. The configurations
+Table below evaluates the models' ability to generate second-order rational behaviour for player 1. The configurations
where CR improves second-order rationality are in bold, and those where CR degrades this rationality are in italics.
When generating strategies, <tt>GPT-4.5</tt> consistently exhibits second-order rational behavior in all configurations
@@ -295,7 +295,7 @@ drop in accuracy under implicit beliefs in configuration (d), suggesting sensiti
It is worth noticing that CR is not universally beneficial: while it notably improves reasoning in smaller models
(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>),
+it often harms performance in larger models (e.g., <tt>GPT-4.5</tt>, <tt>LLama3.3</tt> or <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 —
particularly in less confident or under-specified contexts.
@@ -313,7 +313,7 @@ particularly in less confident or under-specified contexts.
| **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 | 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 |
+| | actions + CR | 1.00 | 1.00 | 1.00 | *0.10* | *0.20* | *0.66* | *0.23* | **0.96** | **0.86** | *0.03* | *0.00* | **0.16* |
| **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 |
| | actions + CR | 1.00 | 1.00 | *0.96* | *0.96* | 1.00 | **0.96** | 1.00 | 1.00 | **0.80** | 1.00 | 1.00 | **0.90** |
| **Llama3** | actions | 0.97 | 1.00 | 1.00 | 0.77 | 0.80 | 0.60 | 0.97 | 0.90 | 0.93 | 0.83 | 0.90 | 0.60 |
diff --git a/data/ring/ring.1.a.True.csv b/data/ring/ring.1.a.True.csv
index 97405a56db41eb6bf6a4b0273c9b7c3d5d423e54..2cffd7d44bfdc8842534779c3434833862519ea6 100644
--- a/data/ring/ring.1.a.True.csv
+++ b/data/ring/ring.1.a.True.csv
@@ -727,3 +727,93 @@ Therefore, Player 1 should choose Y to get 15 points when Player 2 chooses B, wh
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."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X ensures I receive 15 points, as rational player 2 will choose action A for maximum reward."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing action Y gives the highest payoff, assuming Player 2 selects action B rationally."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""If I choose X, Player 2 will pick action A, giving me the highest payoff of 15 points."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing Y provides me 15 points as Player 2 will choose B, showing dominance."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""By choosing X, Player 2 is expected to choose A, providing me 15 points. Choosing Y would result in fewer points."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""If I pick action Y, Player 2 will select B to get the highest reward, ensuring we both benefit optimally."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I chose X because it provides the highest potential payoff given the rational choice of Player 2."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Both players' payoffs are higher when I choose Y and Player 2 chooses B. Hence, choosing Y is a rational decision."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Selecting X is optimal as it guarantees a higher reward based on rational Player 2 choosing A."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing Y since it offers the highest potential reward, especially as Player 2 is likely to choose B."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I choose action X expecting Player 2 to choose A, as this gives Player 2 the highest reward when I choose X."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Chose Y anticipating rational Player 2 chooses B, maximizing my payoff at 15 points."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""The highest earning for Player 1 (15 points) happens when choosing X if Player 2 chooses A. Since Player 2 will pick A, I choose X."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing action Y gives me the highest possible payoff (15 points) assuming player 2 chooses rationally (action B)."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""If I choose X, Player 2 chooses A for the maximum reward, giving me a high payoff."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2, being rational, will choose B, securing me the highest possible payoff of 15."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I chose X because it provides the highest points (15) when Player 2 chooses rationally (A)."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""If I choose Y, Player 2 will choose B as it gives them the highest reward (10 points)."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I chose X because it provides me the highest payoff if Player 2 is rational and chooses A."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing Y ensures I secure the highest possible payoff of 15 points, assuming Player 2 acts rationally and selects B."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I chose X because, given that Player 2 is rational, they will opt for A, granting me the maximum reward."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing action 'Y' gives me the highest payoff (15 points) considering Player 2 will rationally choose action 'B'."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me a higher payoff if Player 2 selects their rational choice A."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing Y ensures I receive the highest payoff if Player 2 acts rationally and selects B."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Given that Player 2 rationally prefers A, my choice X will maximize my payoff (15 points)."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing Y ensures my highest possible payoff given Player 2's rational choice B."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me at least 5 points, and given Player 2 will likely choose A, I maximize my outcome with 15 points."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""Choosing action Y provides the highest possible payoff of 15 points given that Player 2, being rational, will choose B."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X ensures the highest possible outcome for me, assuming rationality from Player 2."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,1.0,"""If I pick Y, Player 2 should pick B because it maximizes their payoff (B=10, A=5)."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X gives me the best payoff possible, assuming Player 2 will choose A."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Player 2 will choose action B as it provides a higher payoff (10 points) compared to action A (5 points). Given this, my best response is Y, which yields 15 points when Player 2 chooses B."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""By choosing X, I ensure I receive either 15 or at least 5 points. Choosing Y could result in 0 points if Player 2 chooses A. Therefore, X is the safer choice to maximize my own payoff."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y maximizes my minimum payoff; I prefer to avoid the risk of obtaining 0 points by choosing X."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees a better minimal payoff for Player 1, making it a safer, rational choice."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y nets the maximum payoff (15 points) as Player 2 will likely choose B to maximize their reward."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures I receive a good payoff regardless of Player 2's choice, maximizing my points."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures I receive a positive payoff (at least 5 points), and the best possible outcome is 15 points if player 2 chooses B."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees a higher minimum payoff for me compared to Y."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y because, analyzing the given payoffs, it offers the highest individual gain for me if Player 2 acts rationally."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will choose A since it gives them the highest reward (10 points compared to 5 if choosing B)."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y assures me a minimum of 5 points, and potentially even 15 points, depending on Player 2's chosen action."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will maximize their reward by choosing A, which gives me 15 points."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2 will choose B to maximize their points. Anticipating this, I choose Y for the higher payoff of 15 points."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing action X guarantees me positive payoff regardless of Player 2's choice."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing action Y ensures I get points regardless of Player 2's decision. Player 2 will likely choose B as it maximizes their reward."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing action X guarantees a higher reward for me no matter Player 2's choice."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Given I chose Y, Player 2 will choose B to get the maximum 10 points instead of 5."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures a guaranteed payoff and makes me indifferent to Player 2's decision, optimizing my own reward."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees points regardless of Player 2's choice, suggesting it's the safest option."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures a safer minimum reward (5 points) compared to Y (0 points). Player 2, aiming to maximize their points, would likely choose A."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y gives me the highest possible payoff (15 points) if Player 2 acts rationally and chooses their own best option, B."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees at least 5 points, and potentially 15 points as Player 2 is likely to choose A."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""If I choose Y, Player 2 will choose action B to receive 10 points, maximizing their own reward."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing action X guarantees a better outcome for me, regardless of Player 2's choice."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y gives me either 15 points if Player 2 selects B or 5 points if Player 2 selects A. This choice guarantees that I secure at least 5 points regardless of Player 2's action."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""I choose X because it has higher potential payoff, assuming player 2 will choose their best response, A."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures at least 5 points. If Player 2 picks B, Player 2 gets 10 points, incentivizing Player 2 to choose B, giving me 15 points."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""I chose X to maximize my overall expected payoff, considering what Player 2's rational choice will be."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Considering both players' incentives, action Y best aligns with maximizing my potential payoff."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""If I choose 'X', Player 2 is likely to choose 'A' to maximize their reward, also benefiting me."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""I chose action Y because it maximizes my potential payoff, considering Player 2's possible responses."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees a high payoff regardless of Player 2's action, ensuring a safe choice."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures I get points no matter what Player 2 chooses, and it provides my highest possible payoff."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X gives me the highest potential payoff of 15 points, assuming Player 2 chooses action A."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y is optimal because it ensures at least 5 points, with a potential to earn 15 points if Player 2 chooses B."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees me at least 5 points, with a potential for 15 points, offering a stable and advantageous choice."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing action Y gives me higher potential payoff (15 points) compared to action X's maximum (10 points)."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees at least 5, at best 15 points, while Y risks getting 0 or 10."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y as it offers the highest potential payoff through Player 2's strategic choice, making it most beneficial for me."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X gives me either 15 or 5 points. With choice Y, I'd get 0 or 10 points. Therefore, selecting X maximizes my potential reward."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to get 10 points rather than 5 points."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures that I secure points regardless of Player 2's action."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y maximizes my potential reward. Player 2 will optimally choose action B, leading to my highest reward of 15."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2's best response is choosing A since it gives them the highest points (10) compared to B (5). Thus, choosing X ensures a reliable 15 points for me."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures better payoffs, as Player 2 will choose B for the highest benefit."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X ensures at least 5 points, and possibly more depending on Player 2's action."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees the highest minimum payoff considering optimal responses by Player 2."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X provides the highest potential payoff (15 points), assuming Player 2 acts rationally."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me points regardless of Player 2's action."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""By choosing X, I secure a high reward of 15 if Player 2 chooses A and a moderate 5 points if they choose B. This maximizes my expected outcome."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 maximizes their reward by choosing B, resulting in me receiving 15 points."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees a minimum of 5 points and potentially getting 15 points."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures a better average outcome and avoids the risk of getting 0 points."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees the highest possible payoff, considering Player 2's rational response."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Action Y guarantees me a positive payoff regardless of Player 2's choice, which seems like the rational approach."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees me a higher minimal payoff (5 versus 0 for choosing Y), ensuring I maximize my minimal gain."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing action Y maximizes my possible reward at 15 points, while also ensuring at least 5 points."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""By selecting X, I ensure at least 5 points, with a chance of getting 15 if Player 2 chooses A."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures a minimum of 5 points, potentially maximizing my reward."""
diff --git a/data/ring/ring.1.b.True.csv b/data/ring/ring.1.b.True.csv
index 39211dd355e73afd21195be3d27e0dfa82f4b562..a7ed046fe52b0cdaa6160ef45ec6ca7c8572d357 100644
--- a/data/ring/ring.1.b.True.csv
+++ b/data/ring/ring.1.b.True.csv
@@ -629,3 +629,93 @@ Iteration,Model,Temperature,Conditional Reasoning,Belief,action,rationality,reas
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."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By choosing action Y, I ensure a higher possible reward for myself considering Player 2's rational choice of action A."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X grants me equal or higher points regardless of Player 2's action, making it the optimal decision for maximizing my payoff."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y guarantees me a good payoff because, knowing player 2's rational move to A, I will earn a favorable outcome."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X gives me a better payoff considering Player 2's rational choice of B."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y maximizes my payoff since rational Player 2 will always choose A over B."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X ensures I get a better outcome because it predicts Player 2 will choose rationally with action B."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing 'Y' ensures I get 7 or 8 points, which optimally aligns with Player 2's rational choice of 'A'."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X guarantees a better outcome for me since Player 2 will choose B for their maximum reward."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y gives me 8 points when Player 2 acts rationally and picks A, which maximizes my payoff."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 chooses B to maximize their points; choosing X gives me 7 points."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me good points regardless of Player 2's decision, as Player 2 rationally should choose option A."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""I chose X because given Player 2's rationality and desire to maximize payoff, X ensures better outcomes for me."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y because Player 2, rationally aiming for the highest reward, will choose A, giving me a payoff of 7."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X guarantees a high payoff regardless of Player 2's choice, and rationally Player 2 is expected to choose B."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X seems optimal because player 2 will likely choose action A. That will yield me 8 points, the highest payoff considering their rational response."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X gives me the chance to secure the highest possible score (8 points) considering Player 2's optimal action."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By selecting Y, Player 2 will logically choose A, giving me a solid 7 points."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X gives me either 7 or 8 points, whereas choosing Y gives me 7 or 8 points as well. Given Player 2's rationality (choosing B), X ensures a solid 7-point outcome."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y ensures me at least 7 points, and if Player 2 chooses B, I get 8 points. This seems optimal."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X ensures I get at least 7 points. Player 2 will rationally choose B as it maximizes their payoff."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""If I choose action Y, I get either 7 or 8 points, equal to or better than action X's payoffs."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X guarantees a better payoff for me, given the assumption Player 2 will choose B."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""I chose X because it guarantees me a high reward, taking into account that Player 2 will rationally select option A, given its higher payoff in this scenario."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will choose action B as it's their optimal choice in response to X, giving me 7 points."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y ensures a minimum of 7 points and can yield 8 points, covering my bases regardless of Player 2's action."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X gives me 7 points when Player 2 rationally chooses B. It's the most rational choice for both players."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Chose Y anticipating Player 2's rational choice to select action A, maximizing payoff."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""If I pick X, Player 2 will pick B for more points (5 instead of 0)."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing 'Y' guarantees a better outcome for me, since Player 2 will rationally choose 'A' based on the payoffs."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""I chose X because it guarantees me a higher payoff assuming Player 2 acts rationally and chooses B."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures at least 7 points regardless of Player 2's action, making it a safer option."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 will choose B in either case, as A is strictly dominated. Given this, choosing X gives me 7 points against their choice of B."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y guarantees me at least 7 points, and I could get 8 if player 2 chooses B, maximizing my potential payoff."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X maximizes my payoff, especially considering Player 2's incentive structure."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing 'Y' ensures better strategic outcomes for me considering Player 2 will likely pick action 'A'."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing action X since, based on the payoff structure, it leads to a higher personal payoff in strategic play."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X gives me higher minimum payoff (7) compared to Y (which has minimum 7 as well), but influences Player 2 to select optimally for both of us."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X to maximize my payoff, assuming Player 2 responds optimally with choice B."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing action Y could maximize my payout, as Player 2 is likely to choose action A."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X because it leads to higher or equal points compared to Y considering Player 2's best responses."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing action X ensures a high reward as Player 2 will likely choose action A to maximize their payoff."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Given the game structure and payoffs, action X provides a higher or equal payoff compared to Y regardless of Player 2's decision."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing action X assures a consistently higher payoff of either 8 or 7 points compared to the uncertain outcomes of action Y."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 will prefer to select action B regardless, which favors me more if I play X."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing action Y gives Player 1 a chance to achieve the highest personal payoff of 8 points if Player 2 opts for B, despite B being strictly dominated."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""By choosing X, I force Player 2 to choose B to maximize their reward, ensuring I receive a higher payoff."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Given the game's payoff structure, choosing Y ensures me an optimal payoff considering Player 2's possible rational response."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X guarantees the best possible payoff, assuming Player 2 will act optimally and choose B."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X is safe for me because Player 2 will select action A, maximizing their own benefit."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing action X is rational as it generally gives me equal or higher rewards compared to Y."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y because it provides a potentially higher payoff if Player 2 selects action B, maximizing my points."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X is optimal as it ensures a better or equal payoff regardless of Player 2's decision."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""By choosing Y, I anticipate that Player 2 will select A to maximize their points, leaving me with a consistent higher payoff."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X seems optimal as it guarantees me a higher minimum reward compared to Y."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y allows for a better payoff of 8 points if Player 2 selects B, and 7 points if they select A, compared to choosing X."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X maximizes my payoff assuming Player 2 picks their best response."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y is beneficial because it leads to the best option in case Player 2 chooses B."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Given Player 2's optimal response, choosing X maximizes my expected payoff."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures I gain the highest guaranteed points regardless of Player 2's action."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 would choose B as it gives them more points than A."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""By choosing X, I ensure a minimum of 7 points for myself and encourage Player 2 to choose A, giving them the highest reward."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Player 2 maximizes their reward by choosing B if I choose Y, and my reward is still high."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y gives me either 7 or 8 points. I chose Y since it could grant me the highest payoff of 8 if Player 2 chooses B."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""I chose X to maximize my own payoff because it results in a higher or equal payoff (7 or 8 points), depending on Player 2's action."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action 'X' ensures my points are at least 7, possibly 8, based on Player 2's decision."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X allows me the chance to achieve a higher personal payoff of 8 points, assuming Player 2 picks action A rationally."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees me at least 7 points, regardless of Player 2's choice. This is a safe, rational choice."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures Player 2 picks B, giving me 8 points and them 10 points, as it's their highest reward."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y gives Player 2 a reason to pick action A, yet I still secure a high payoff for myself."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing action Y guarantees me a higher minimum reward regardless of Player 2's decision."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""I choose X because it guarantees at least 7 points regardless of Player 2's choice, making it a safe and rational option."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""If I choose X, Player 2 will likely choose B, earning me 7 points. If I choose Y, Player 2 choosing B would only earn me 8 points, but gives them a higher payoff. Choosing X is safer for my payoff."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing action Y ensures a payoff of at least 7 points and can yield 8 points if Player 2 chooses action B."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X is optimal since Player 2 is likely to choose B, granting me 7 points."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X maximizes my payoff because I anticipate Player 2 will choose A to get the highest reward."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X would maximize my payoff considering Player 2's optimal response."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees me at least 7 points. Considering the potential outcomes, it's the safest strategy for optimal payoff."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X is optimal as it leads to the highest payoff (8 points) assuming Player 2 chooses rationally (action B)."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures a reliably high payoff for me irrespective of Player 2's choice."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing action Y ensures Player 2 selects B, giving me a good payoff of 8."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y maximizes my points given Player 2 will respond optimally."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me at least 7 points, anticipating Player 2 will choose B to maximize their payoff (10 points)."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees a minimum of 7 points, demonstrating optimality."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures I get at least 7 points, and Player 2 will choose B to obtain a higher reward of 10 points."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X ensures at least 7 points regardless of Player 2's decision. It minimizes potential loss and secures a reliable payoff."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures that Player 2 picks B, as it provides them the highest reward (10 points), but I still get a high reward (8 points), making it beneficial."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures my points remain high regardless of Player 2's decision, providing the safest outcome."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures I receive a favorable outcome regardless of Player 2's choice. It appears to be the safer strategic option."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will select A to maximize their points from 10. Anticipating this, I choose X to secure 8 points myself."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I select Y, Player 2 gains maximum points by picking B. Therefore, choosing Y incentivizes Player 2 towards action B."""
diff --git a/data/ring/ring.1.c.True.csv b/data/ring/ring.1.c.True.csv
index ac7b014489e11f53a42dbc04a8aad4f8b9d64170..88f1fe63bfd3cf488bed210111ffde1315cb47be 100644
--- a/data/ring/ring.1.c.True.csv
+++ b/data/ring/ring.1.c.True.csv
@@ -459,3 +459,93 @@ First, I need to evaluate the possible outcomes for Player 1 based on my choice.
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."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me a better minimum outcome since I'll get either 6 or 5 points, compared to potentially getting 0 points with Y."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X is rational because Player 2, acting rationally, will always choose B, giving Player 1 the best possible outcome."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Given Player 2 is rational and prefers action A, choosing action X provides me with the highest payoff (6 points)."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X because Player 2, being rational, will always choose B resulting in higher payoff."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me a decent payoff regardless of Player 2's action."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will choose B regardless of my choice, making X the best choice."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y leads to potentially higher reward (10 points) if Player 2 chooses rationally (A)."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""By selecting X, I have the potential to gain the highest possible reward (10 points) if Player 2 chooses action A."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y because Player 2, aiming to maximize their reward, will choose A, granting me greater rewards."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X gives me the highest payoff assuming Player 2 is rational and will choose action B."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y gives me 10 points if Player 2 picks their best move, A."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Considering rational behavior, if I pick 'X', Player 2 will pick 'B', but choosing around this leads me to my maximum payoff."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Given that rational Player 2 always chooses A to maximize payoff, choosing X provides me with 6 points, whereas Y would give me 0 points."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X maximizes my points (10) assuming Player 2 selects B (their rational choice)."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Given Player 2's rationality and payoff structure, choosing Y will yield the highest possible payoff for me."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X because, assuming Player 2 will pick B, selecting Y yields lower points."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""If I pick X, Player 2 is rational and would choose A, granting me 6 points. Choosing Y could lead to zero points if Player 2 selects A."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X maximizes my potential payoff as Player 2 will rationally choose B."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y maximizes my reward assuming Player 2 rationally chooses action A."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Given Player 2 must choose rationally, they will select action B. Knowing this, my best action is X, earning me more points."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Player 2 will choose A if I select X, giving me 6 points. Choosing Y with Player 2's rational choice of A gives me 0 points."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X maximizes my payoff given that rationally Player 2 must choose B."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing action Y gives me the possibility of obtaining the maximum payoff of 10 points if Player 2 chooses action B. Considering Player 2's incentives, action B would be less beneficial for them, but if they happen to choose action B, I gain significantly."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X maximizes my payoff as Player 2 would likely choose B, giving me 0, but choosing A would give Player 2 nothing."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Player 2 will choose action A if I select X because it provides them the highest points (10 points)."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Given Player 2 will select B to maximize their own payoff, my optimal choice is X."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Choosing X guarantees me a minimum of 5 points regardless of Player 2's choice."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will choose B as it maximizes their own points given my choice."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y maximizes my potential payoff, considering Player 2 will select A as their rational choice."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X is optimal for me because a rational Player 2 will inevitably choose B, guaranteeing me 0 points if I choose Y, but 0 points is strictly less than the 10 points possible with X if Player 2 deviates."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Player 2 prefers action A in both situations since it gives them higher payoffs regardless of Player 1's choice."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Given Player 2's choices, selecting X maximizes my points in case Player 2 chooses action A."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees that I receive a decent number of points regardless of Player 2's actions."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures a higher minimum payoff regardless of Player 2's choice."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""If I choose X, Player 2 will maximize their payoff by choosing A, earning 10 points."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees at least 5 points regardless of Player 2's choice."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X is safer, as it provides me with a guaranteed good payoff regardless of Player 2's choice."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees at least 5 points, as Player 2 will always prefer action B, ensuring my stable payoff."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees at least 5 points, whereas Y risks getting nothing. X is the safer option given the payoff structure."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Player 2 always prefers action B, leading me to choose action Y for an optimal reward."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Analyzing the payoffs, X guarantees me at least 5 points regardless of Player 2's choice, proving to be the safer option."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures a solid score, irrespective of Player 2's action, making it the safer choice."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X ensures at least 5 points, regardless of Player 2's choice. It's a safer option considering Player 2's potential actions."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""If I select Y, Player 2 is incentivized to choose B for a higher payoff (10 points) compared to A (5 points)."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees me a minimum of 5 points, regardless of Player 2's choice, securing a safer outcome."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures I receive a good payout regardless of Player 2's choice, making it the safer, optimal action."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees me a higher minimum payoff, even if the opponent responds optimally."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""If I pick Y, Player 2, seeking to maximize their reward, will choose B for a higher payoff."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""I considered both options. Choosing X ensures me at least 5 points irrespective of Player 2's response."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees a safer outcome, as player 2's choice of B gives me 6 points compared to the 0 points from X."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees me better outcomes irrespective of Player 2's action."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""I choose action Y as it ensures a higher minimum payoff and helps me avoid the possibility of scoring zero points."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""By choosing X, I secure a guaranteed payoff of either 6 or 5, regardless of Player 2's action."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees a safer payoff; even though X could give the highest payoff, it carries the high risk of 0 points if Player 2 chooses B."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Given the payoffs, choosing X guarantees me a higher minimum score. Also, Player 2 will likely choose A, yielding me 6 points."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y guarantees me a safer outcome regardless of the other player's action."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees a higher minimum payoff (5 points) compared to choosing Y."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing option Y guarantees me at least 5 points regardless of Player 2's decision, unlike X, which could result in zero points."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,1.0,"""Choosing X guarantees at least 5 points irrespective of Player 2's choice, securing a safe reward."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,1.0,"""Choosing Y ensures I get at least 5 points, whereas X has a risk of giving me 0 points if Player 2 chooses B. I believe Player 2 will likely choose B, as it dominates A."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Given choice X, Player 2 will choose option A to maximize their points at 10."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 will choose B to get the highest possible payoff, giving me 6 points."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X guarantees at least 5 points, regardless of Player 2's choice, making it a safer choice."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures I always earn a positive reward, demonstrating a cautious strategy."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X is safer, avoiding the risk of getting zero points if Player 2 picks A."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me points regardless of Player 2's action, hence it's the safest option."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures I get at least 5 points regardless of Player 2's action."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing action X maximizes my potential payoff to 10, assuming Player 2 chooses their optimal decision A."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures I get either 5 or 6 points, whereas choosing Y risks getting 0 points if Player 2 picks A."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures a better minimum outcome and guards against the worst-case scenario."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""By choosing Y, I push Player 2 to select A, which is their highest payoff given my action. Hence, I gain the most points possible."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""If I select X, Player 2 is likely to choose B, which would give them a better payoff (5) than choosing A (payoff 0)."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X ensures I get a good reward regardless of Player 2's choice."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""I choose Y because it guarantees me a higher minimum payoff, considering Player 2's optimal responses."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X guarantees me at least 5 points regardless of Player 2's choice, making it a safe choice."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees at least 5 points regardless of Player 2's choice."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""I chose action X because it provides consistent payoffs regardless of Player 2's choice."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures me either 6 or 5 points, making it a stable and beneficial choice regardless of Player 2's action."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X provides a consistently good outcome for me, irrespective of Player 2's choice."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me at least 5 points, avoiding the possible zero points with choice X."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Given my decision X, Player 2 chooses A to achieve a higher reward (10 points) compared to B (5 points)."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me at least 5 points, regardless of Player 2's choice."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X guarantees a higher minimum payoff (5 points) compared to Y, which could yield 0 points."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Given choice Y, player 2 will choose B to gain 10 points, thus maximizing their reward."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing X ensures a higher minimum gain of points for me compared to choosing Y."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I choose Y, Player 2 would select B to secure 10 points, and I'd receive 6 points, a favorable outcome."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y because Player 2's optimal choice would give me the maximum points."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I select Y, Player 2 will pick B as it maximizes their gains (10 points vs. 5 points with A)."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""If I choose X, Player 2 will choose A to maximize their reward (10 points). This gives me 6 points, which is good."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""I choose action Y to ensure a fair distribution of points and anticipate a mutually beneficial scenario."""
diff --git a/data/ring/ring.1.d.True.csv b/data/ring/ring.1.d.True.csv
index aac2d6fa3d5b6d91a580f421675e434adcc9709f..adb031b6b1ff99c514add20576e8288931e521c8 100644
--- a/data/ring/ring.1.d.True.csv
+++ b/data/ring/ring.1.d.True.csv
@@ -456,3 +456,93 @@ Player gets 5). Since the reward of choosing 'A' is higher for PLayer 2 than B,
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."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""I picked Y because if player 2 is rational, they will choose A, granting me the highest possible payoff."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X with Player 2 likely opting for B yields a strategically better outcome."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By choosing Y, I anticipate Player 2 moving optimally with action A, maximizing my points gain."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing action X since rational Player 2 would choose action B, maximizing my points."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y might reward me with the best payoff if Player 2 picks B, resulting in 40 points."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will always choose B as it is strictly rational. Anticipating this rational behavior, selecting X yields the highest payoff for me."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""I chose Y because if Player 2 is rational, they must choose action A, giving me the highest reward possible under rational play."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will pick B if I choose Y, giving me 15 points. But if I choose X, they still pick B for their advantage, giving me 0 points. Therefore, Y offers a higher payoff."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,1.0,"""Player 2 will choose action A, given that B is dominated. Anticipating this, X maximizes my payoff."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""If I choose X, player 2 chooses B and gets 5 points. If I choose Y, player 2 gets 10 points by choosing B. Yet, choosing X yields me a higher reward (40 points vs. 15 points), so I prefer X."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y gives a chance at a higher reward (40 points) if Player 2 makes a mistake and chooses B. Even if Player 2 picks rationally with A, my lowest reward equals choosing X with a rational opponent."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X as Player 1, Player 2 would choose B, which yields Player 1 a higher payoff."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y because it can yield the highest payoff of 40 points if Player 2 chooses B, and poses no risk as Player 2 rationally prefers choice A."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X could yield the highest payoff for me if Player 2 selects A, leading to 40 points."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By selecting action Y, I anticipate Player 2 will choose A, as it offers a higher payoff (5 points) for them compared to 0 points with choice B."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X maximizes my payoff given Player 2 will rationally choose B."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y may lead to the highest possible payoff (40) if Player 2 selects B."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X gives me the highest payoff assuming player 2 makes the rational choice of action B."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By choosing Y, I aim to achieve the highest possible payoff (40 points), assuming Player 2 acts rationally with action B."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""I chose X because it provides the maximum possible gain of 40 points if Player 2 selects A."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y leads to the highest potential payoff of 40 points if Player 2 chooses B."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Player 2 will choose B in both cases. Anticipating this, I selected X for a higher payoff."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y could lead me to earn 40 points if Player 2 chooses B. Even if Player 2 chooses A, which they likely will considering rationality, my expected outcome is carefully weighed."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""I chose X because if Player 2 is rational, they will choose B, which is their dominant strategy. Considering that, my best response is X."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""If Player 2 is rational, they will always choose A, as B is dominated. Therefore, I chose Y."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X gives me the highest potential reward (40 points). Player 2 is rational and would choose B to avoid getting 0 points."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""By choosing Y, if Player 2 chooses A, they get 5 points; if they choose B, they get 0 points. Thus, choosing Y gives me a high payoff (40) and Player 2 is incentivized to choose A."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""If I choose X, Player 2's best response is B. However, by choosing X, I open the possibility of obtaining the highest payoff of 40 points if Player 2 errs by selecting A."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Given,Y,0.0,"""Choosing Y can lead to a higher payoff for me if Player 2 selects B. Since they might choose B, I prefer Y."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Given,X,0.0,"""Choosing X because Player 2, being rational, will choose B; however, X still gives me the highest individual payoff if they err and pick A."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Player 2 is likely to choose A if I choose X, giving me 15 points. Choosing Y, Player 2 might select B, granting me 40 points, maximizing my reward."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing 'X' results in the highest payoff of 40 points if Player 2 chooses 'A', maximizing my reward potential."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y gives me a possibility of getting 40 points if Player 2 selects B, maximizing my potential payoff."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 will choose B as it provides them with 5 points instead of 0 points with option A."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""If I choose Y, Player 2 is best off choosing A giving them 5 points, compared to 0 if they were to select B."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 aims to maximize their payoff and will predictably choose B. Thus, I select X for the highest reward."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""By analyzing the conditional reasoning, Player 2 will opt for action A in response to X, and action A again, resulting in action Y maximizing my payoff."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""If I select action X, Player 2 will choose action B to maximize their reward, granting me the highest payoff."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Given the payoffs, selecting Y potentially yields 40 points for me, but only if Player 2 chooses B. I assume Player 2 wants to maximize their payoff, which affects my decision."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing 'X' maximizes my potential reward (40 points) if Player 2 chooses 'A'. Alternatively, choosing 'Y' can only yield a maximum of 15 points."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""I choose Y because if Player 2 chooses A, I get 0 points, but if they choose B, I get a high 40 points."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X seems beneficial because if Player 2 selects A, my reward is maximized at 40 points."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y gives the highest potential reward, assuming Player 2 acts rationally and selects B."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X maximizes my payoff if Player 2 chooses A, giving me 40 points. Given Player 2's preference to maximize their own payoff, X is the optimal move for me."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""By selecting Y, I can achieve my highest payoff since Player 2 is likely to pick an action to maximize their own payoff."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X, anticipating Player 2 selects B as A is strictly dominated by B."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing 'Y' provides the highest payoff assuming Player 2 acts rationally and selects optimally."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 will choose B if I choose Y; if I choose X, they prefer B again, making X the optimal move."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""I chose Y because if Player 2 acts rationally to maximize their payoff, they will pick B, giving me 40 points."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Choosing X is logical as it has the highest possible payoff for me—40 points—if Player 2 selects action A."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing Y could potentially lead me to get the maximum payoff of 40 if Player 2 chooses B."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""I chose X because it can potentially yield a higher payoff of 40 points if Player 2 chooses A."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""I chose action 'Y' because, given the payoffs, player 2 will likely choose 'A', making 'Y' potentially optimal."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""By selecting X, I could gain 40 points if Player 2 chooses A. Player 2 might prefer B to avoid giving me many points, but considering explicit dominance, selecting X is favorable for me."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""By selecting action Y, I encourage Player 2 to choose B, as it gives them a higher payoff."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""I choose X because if I select X, Player 2 will likely choose B, maximizing their reward to 5 points and leaving me with zero. However, if Player 2 mistakenly chooses A, I can win big with 40 points."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""By choosing Y, I can achieve the highest possible reward of 40 points if Player 2 selects B."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""By choosing X, I can potentially receive the highest payoff (40 points), as Player 2 will likely choose action B, which dominates action A."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,Y,0.0,"""Choosing action Y is optimal for Player 1 because it provides the highest potential payoff of 40 points if Player 2 chooses B, even though there is a risk of getting 0 points if Player 2 chooses A."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Explicit,X,0.0,"""Player 2 prefers to pick B after Y for higher gains. Given this, picking X maximizes my payoff."""
+1,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""I decided on action Y as it maximizes my potential payoff, aiming for 40 points given Player 2's likely response of B."""
+2,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""If I choose X, Player 2 would choose B resulting in 0 points for me; but choosing conditionally, I aim for A with hopes of getting 40 points."""
+3,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y can potentially yield me 40 points, making it strategically advantageous."""
+4,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""I chose X because it offers the highest possible payoff of 40 points if Player 2 selects action A."""
+5,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""When I choose Y, Player 2's best response would also benefit me the most."""
+6,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X offers the highest payoff (40 points) for Player 1 if Player 2 selects action A."""
+7,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""If I choose 'Y', my potential payoff of 40 points is higher than the alternatives, provided Player 2 chooses 'B'."""
+8,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X is optimal because I anticipate Player 2 will choose A in response, maximizing my payoff at 40 points."""
+9,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""I chose Y because if Player 2 is aiming for their maximum payoff, they'd pick A if I chose X (earning me just 15 points), but they'd be forced to choose B if I chose Y, earning me 40 points."""
+10,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X is best since I anticipate Player 2 will go with A, giving me the highest possible payoff."""
+11,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y offers the possibility of the highest payoff, provided Player 2 selects B."""
+12,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing action X maximizes my points if Player 2 selects action A. Given the available choices, this is my optimal decision."""
+13,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y because it possibly gives me the highest reward of 40 points if Player 2 chooses B."""
+14,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing X gives me 40 points if player 2 chooses action A, maximizing my payoff."""
+15,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,1.0,"""Choosing action X ensures at least some points, regardless of Player 2's response."""
+16,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""If I select Y, Player 2 maximizes their reward by choosing option B, thus granting me 15 points."""
+17,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Player 2 aiming to maximize their points would select A if I chose X (for 10 points) and also A if I chose Y (for 5 points). Knowing this, I select Y for maximal outcome."""
+18,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Player 2 would choose B to receive 10 points, their highest possible payoff when I choose Y."""
+19,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing action Y potentially maximizes my reward since Player 2, aiming to maximize their payoff, will likely choose action A, resulting in 0 points for me. However, if they mispredict, I could gain significantly."""
+20,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y ensures I receive a consistent payoff no matter Player 2's choice, minimizing risk."""
+21,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing 'Y' gets me the highest reward (40 points) if Player 2 picks 'B'."""
+22,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,1.0,"""Choosing Y guarantees me points no matter Player 2's choice."""
+23,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing action Y could give me the maximum possible points (40 points) if Player 2 selects action B."""
+24,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Selecting action X has the highest possible payoff of 40 points if Player 2 chooses A."""
+25,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y maximizes my payoff (40 points) if Player 2 chooses option B."""
+26,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""I chose action X because it provides the highest possible payoff (40 points) if Player 2 chooses A, making it optimal despite some risk."""
+27,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing action Y could yield 40 points if Player 2 chooses B, which is the maximum possible reward. I'm assuming Player 2 would choose B in their own interest."""
+28,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""Choosing action X maximizes my potential gain based on possible responses from Player 2."""
+29,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,Y,0.0,"""Choosing Y could potentially yield me a higher payoff if Player 2 picks B."""
+30,gpt-4.5-preview-2025-02-27,0.7,True,Implicit,X,0.0,"""I chose X because it gives me the highest possible reward (40 points) if Player 2 chooses A, which Player 2 is likely to pick to avoid getting 0 points."""
diff --git a/figures/ring/ring_accuracy.1.a.True.csv b/figures/ring/ring_accuracy.1.a.True.csv
index ca8b2c2dc75203a6289326b649bfb4ce340f07e5..5af9bd919a085eaf635a1f8b50bd2e0a95de61ca 100644
--- a/figures/ring/ring_accuracy.1.a.True.csv
+++ b/figures/ring/ring_accuracy.1.a.True.csv
@@ -1,6 +1,7 @@
Model,Given,Explicit,Implicit
deepseek-r1,0.8,0.6333333333333333,0.6
deepseek-r1:7b,1.0,1.0,1.0
+gpt-4.5-preview-2025-02-27,1.0,1.0,1.0
llama3,0.9,0.9,0.8666666666666667
llama3.3:latest,0.975,1.0,0.975
mistral-small,1.0,0.9333333333333333,1.0
diff --git a/figures/ring/ring_accuracy.1.b.True.csv b/figures/ring/ring_accuracy.1.b.True.csv
index 8049f4ddb90f3083d475db6641113d498d10fa60..93737af061b18ee8e74c5837ade23e5d45b2c28e 100644
--- a/figures/ring/ring_accuracy.1.b.True.csv
+++ b/figures/ring/ring_accuracy.1.b.True.csv
@@ -1,6 +1,7 @@
Model,Given,Explicit,Implicit
deepseek-r1,0.6666666666666666,0.6333333333333333,0.7
deepseek-r1:7b,1.0,1.0,1.0
+gpt-4.5-preview-2025-02-27,0.1,0.2,0.6666666666666666
llama3,0.5,0.5,0.5
llama3.3:latest,0.9666666666666667,1.0,0.9666666666666667
mistral-small,0.9666666666666667,0.9666666666666667,0.9
diff --git a/figures/ring/ring_accuracy.1.c.True.csv b/figures/ring/ring_accuracy.1.c.True.csv
index 629ef251ae8da3771b6b9e902b6fa746cb56a45c..0168251f67cd2b8a5e9e7c7a6a2675680ecc6b72 100644
--- a/figures/ring/ring_accuracy.1.c.True.csv
+++ b/figures/ring/ring_accuracy.1.c.True.csv
@@ -1,6 +1,7 @@
Model,Given,Explicit,Implicit
deepseek-r1,0.6666666666666666,0.7,0.5
deepseek-r1:7b,0.9,1.0,1.0
+gpt-4.5-preview-2025-02-27,0.23333333333333334,0.9666666666666667,0.8666666666666667
llama3,0.7666666666666667,0.9666666666666667,0.7
llama3.3:latest,1.0,1.0,0.8
mistral-small,0.9,0.7666666666666667,0.43333333333333335
diff --git a/figures/ring/ring_accuracy.1.d.True.csv b/figures/ring/ring_accuracy.1.d.True.csv
index 0e93e8b6e562e0be3077cd5125a2047c1c1d9c4d..471f8796498a29c7ec6845f45ea0b18e1c681214 100644
--- a/figures/ring/ring_accuracy.1.d.True.csv
+++ b/figures/ring/ring_accuracy.1.d.True.csv
@@ -1,6 +1,7 @@
Model,Given,Explicit,Implicit
deepseek-r1,0.6333333333333333,0.7666666666666667,0.7
deepseek-r1:7b,1.0,1.0,1.0
+gpt-4.5-preview-2025-02-27,0.03333333333333333,0.0,0.16666666666666666
llama3,0.6666666666666666,0.8333333333333334,0.6666666666666666
llama3.3:latest,1.0,1.0,0.9
mistral-small,0.6666666666666666,0.4,0.36666666666666664
diff --git a/src/ring/ring_experiments.py b/src/ring/ring_experiments.py
index f2674740b057bdce346731335ff2d002a733e573..b49e56ca3cf0cb4f05c75d11ebc19031dfba9070 100644
--- a/src/ring/ring_experiments.py
+++ b/src/ring/ring_experiments.py
@@ -81,7 +81,7 @@ class RingExperiment:
# Running the experiment
if __name__ == "__main__":
- models = ["qwen3"] # "gpt-4.5-preview-2025-02-27", "llama3", "mistral-small", "deepseek-r1", "llama3.3:latest", "deepseek-r1:7b", "mixtral:8x7b"
+ models = ["gpt-4.5-preview-2025-02-27"] # "gpt-4.5-preview-2025-02-27", "llama3", "mistral-small", "deepseek-r1", "llama3.3:latest", "deepseek-r1:7b", "mixtral:8x7b"
temperature = 0.7
iterations = 30
player_id = 1