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Commit e06b2275 authored by Maxime MORGE's avatar Maxime MORGE
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Test GPT-4.4 with the ring-network game

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......@@ -181,18 +181,21 @@ We set up three forms of belief:
### Player 2
The models evaluated include Mistral-Small, Llama3, and DeepSeek-R1.
The models evaluated include Gpt-4.5-preview-2025-02-27, Mistral-Small, Llama3, and DeepSeek-R1.
The results indicate how well each model performs under each belief type.
| Model | Given | Explicit | Implicit |
|----------------|---------|-----------|----------|
| gpt-4.5 | 1.00 | 1.00 | 1.00 |
| mistral-small | 1.00 | 1.00 | 0.87 |
| llama3 | 1.00 | 0.90 | 0.17 |
| deepseek-r1 | 0.83 | 0.57 | 0.60 |
Here’s a refined version of your text:
Mistral-Small consistently outperforms the other models across all belief types.
GPT-4.5 achieves a perfect score across all belief types,
demonstrating an exceptional ability to take rational decisions, even in the implicit belief condition.
Mistral-Small consistently outperforms the other open-weight models across all belief types.
Its strong performance with implicit belief indicates that it can effectively
deduce the optimal action from the payoff matrix description.
Llama3 performs well with a given belief, but significantly underperforms with an implicit belief,
......@@ -218,14 +221,17 @@ action, we consider 4 versions of the player’s payoff matrix:
| Model | | Given (a) | Explicit (a) | Implicit (a) | | Given (b) | Explicit (b) | Implicit (b) | | Given (c) | Explicit (c) | Implicit (c) | | Given (d) | Explicit (d) | Implicit (d) |
|---------------|-|-----------|--------------|--------------|-|-----------|--------------|--------------|--|-----------|--------------|--------------|--|-----------|--------------|--------------|
| gpt4-.5 | | 1.00 | 1.00 | 1.00 | | 1.00 | 0.67 | 0.00 | | 0.86 | 0.83 | 0.00 | | 0.50 | 0.90 | 0.00 |
| llama3 | | 0.97 | 1.00 | 1.00 | | 0.77 | 0.80 | 0.60 | | 0.97 | 0.90 | 0.93 | | 0.83 | 0.90 | 0.60 |
| mistral-small | | 0.93 | 0.97 | 1.00 | | 0.87 | 0.77 | 0.60 | | 0.77 | 0.60 | 0.70 | | 0.73 | 0.57 | 0.37 |
| deepseek-r1 | | 0.80 | 0.53 | 0.57 | | 0.67 | 0.60 | 0.53 | | 0.67 | 0.63 | 0.47 | | 0.70 | 0.50 | 0.57 |
GPT-4.5 achieves perfect performance in the standard (a) setup but struggles significantly with implicit belief
when the payoff structure changes (b, c, d). This suggests that while it excels when conditions are straightforward,
it is confused by the altered payoffs.
LLama3 demonstrates the most consistent and robust performance, capable of adapting to various belief types
and adjusted payoff matrices.
Llama3, while performing well with given and explicit beliefs, faces challenges in implicit belief, particularly in version (d).
Mistral-Small, while performing well with given and explicit beliefs, faces challenges in implicit belief, particularly in version (d).
DeepSeek-R1 appears to be the least capable, suggesting it may not be an ideal candidate for modeling second-order rationality.
## Authors
......
Iteration,Model,Temperature,Belief,action,rationality,reasoning
1,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X gives me the highest payoff (15 points) since Player 2 will rationally choose A."""
2,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y guarantees the highest payoff of 15 points when Player 2 rationally chooses B, dominating alternative X."""
3,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X ensures the highest payoff since Player 2 will select A if rational."""
4,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the maximum payoff of 15, assuming Player 2 plays rationally."""
5,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X gives me 15 points, which is the highest payoff given player 2's rational choice of A."""
6,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given player 2's rationality leads them to choose B, I select Y to maximize my payoff with 15 points."""
7,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X guarantees me the highest payoff given Player 2's rational choice of A."""
8,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y should yield a higher payoff for me, anticipating that Player 2, acting rationally, selects B."""
9,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Player 2 is rational and will select A; I choose X to acquire the highest payoff of 15 points."""
10,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the highest payoff given that rational Player 2 will select B."""
11,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X results in 15 points, which is higher than the 10 points from option Y."""
12,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y ensures I get the maximum payoff of 15 points when Player 2 chooses the rational option, B."""
13,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X maximizes my payoff if Player 2 acts rationally and chooses A."""
14,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the highest payoff of 15 points as Player 2 will rationally choose B."""
15,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X is rational since, knowing Player 2 will choose A, this choice provides me with the highest payoff of 15 points."""
16,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me 15 points as Player 2, being rational, will select B. It maximizes my payoff."""
17,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I chose X because it's the best response given Player 2's rational choice of A, providing me with the highest payoff (15 points)."""
18,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the highest possible payoff, 15 points, considering Player 2 will rationally choose B."""
19,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Option X offers me the highest potential payoff (15 points) when Player 2 chooses A, which I anticipate due to their rationality."""
20,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Knowing Player 2 will rationally choose B, selecting Y maximizes my payoff (15 points)."""
21,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given player 2 will choose A as a rational choice, my best action is X as it gives me the highest payoff (15 points)."""
22,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the highest payoff (15 points) because Player 2, if rational, must choose B."""
23,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Knowing player 2 must choose A for rationality, player 1 maximizes payoff by choosing X, earning the most points."""
24,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""As Player 2 is rational and will choose B, selecting Y ensures I get 15 points, the maximum payoff."""
25,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Considering Player 2 will rationally choose A, choosing X gives me the highest payoff of 15 points."""
26,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me the highest payoff since Player 2 will rationally select B."""
27,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I choose action X because, knowing Player 2 will rationally pick A, this gives me the highest possible payoff of 15 points."""
28,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y maximizes my payoff, as rational Player 2 will choose B, giving me 15 points."""
29,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I chose X because it's the best response to Player 2 choosing A, giving me the highest payoff."""
30,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I chose action Y because Player 2 must select B due to rationality, granting me the maximum payoff."""
1,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X is best because it secures the highest potential points (15) given Player 2's rational choice (A)."""
2,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees a higher payoff, as option A is dominated for Player 2, meaning they will choose B."""
3,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X provides either 15 or 5 points. Given option A strictly dominates B, opponent picks A, ensuring I get 15 points."""
4,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since B strictly dominates A, I anticipate Player 2 choosing B; action Y will deliver the maximal payoff of 15 points in that case."""
5,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Option X guarantees me a higher minimum outcome compared to option Y, regardless of Player 2's choice."""
6,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Option Y ensures I get the highest payoff of 15 points, as Player 2 is likely to choose B (since option A is dominated)."""
7,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I selected action X as it can yield the highest payoff for me when Player 2 chooses A."""
8,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y as action B dominates A for Player 2, ensuring a high payoff of 15 points."""
9,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees the best payoff regardless of Player 2's choice, given that B is strictly dominated by A."""
10,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me the best possible payoff, considering Player 2's best choice."""
11,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I select action X because it provides a better payoff, especially considering option A strictly dominates B and thus is more likely chosen by Player 2."""
12,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing action Y maximizes my payoffs assuming Player 2 selects action B, which strictly dominates A."""
13,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I chose X because it provides higher potential payoff given Player 2 is more likely to play A."""
14,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y maximizes my payoff because move A is dominated by B, and Y paired with B gives me 15 points."""
15,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing 'X' guarantees at least 5 points and could yield 15, ensuring a safe and optimal outcome."""
16,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y since Player 2 will likely choose B, ensuring my highest payoff of 15 points."""
17,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing action X provides higher payoffs regardless of Player 2's decision."""
18,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y gives Player 1 the optimal outcome of 15 points if Player 2 selects B, which is dominant for them."""
19,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Option X provides the highest potential payoff for me, considering Player 2 will likely choose A."""
20,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing action Y maximizes my payoff, especially since action A is strictly dominated for Player 2."""
21,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees a higher minimum payoff compared to choosing Y, maximizing my own benefit."""
22,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y safeguards a higher potential payoff as it's the optimal response to Player 2's likely choice of B."""
23,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing action X maximizes my minimum payoff, guaranteeing at least 5 points."""
24,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since action A is strictly dominated by B, Player 2 is likely to choose B. Anticipating this, choosing Y gives me the highest payoff (15 points)."""
25,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""By selecting X, I ensure the highest possible payoff of 15 points if Player 2 chooses their dominant action A."""
26,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Knowing that 'A' is dominated by 'B', Player 2 will choose 'B'. Choosing 'Y' maximizes my payoff at 15 points."""
27,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing action X because it yields a higher payoff compared to Y, considering that opponent's best choice is A."""
28,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering action A is dominated by B, Player 2 will choose B. Therefore, choosing Y is the best response for Player 1, earning 15 points."""
29,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Action X provides reliable positive payoffs (15 or 5), making it the safer and rational choice."""
30,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since A is strictly dominated by B for Player 2, Player 2 will choose B. Given Player 2 chooses B, Y gives me 15 points while X gives me only 0 points, therefore, my best choice is Y."""
1,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X guarantees at least 5 points and offers a chance for the highest payoff of 15 points."""
2,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y ensures I gain points regardless of Player 2's decision, maximizing my potential payoff."""
3,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X ensures I always get points, either 15 or 5, which is advantageous."""
4,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y ensures I achieve the highest maximum payoff possible, considering potential player 2 decisions."""
5,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X ensures I receive a higher guaranteed score compared to option Y, optimizing my outcome."""
6,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""I chose Y because it guarantees points regardless of the other player's choice."""
7,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing 'X' gives me the highest potential payoff (15 points) depending on Player 2's move."""
8,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Selecting action Y provides higher potential gains (up to 15 points) and avoids the possibility of getting no points."""
9,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing action X guarantees a higher or equal payoff irrespective of Player 2's choice."""
10,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y can yield the highest score of 15 if Player 2 selects option B."""
11,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X maximizes the payoff regardless of player 2's action, as it guarantees at least 5 points."""
12,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y guarantees a positive score regardless of Player 2's action."""
13,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X guarantees a decent payoff and maximizes my chances of higher earnings."""
14,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""I chose action Y because it offers the highest possible payoff of 15 points if Player 2 chooses B."""
15,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X ensures I get at least 5 points, potentially up to 15."""
16,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y guarantees either 15 or 5 points, ensuring a higher minimum payoff."""
17,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Action X gives me the highest guaranteed score compared to Y."""
18,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing action Y provides either 15 points or at least 5 points, offering me favorable outcomes."""
19,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Action X offers me the highest potential payoff of 15 points and at worst gives me 5 points, while action Y has a lower maximum of 10 and a minimum of 0."""
20,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Action Y gives me the possibility of obtaining the highest payoff of 15 points, over the maximum of 10 points with action X."""
21,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X because it guarantees at least 5 points and potentially 15, which maximizes my expected payoff."""
22,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y guarantees me at least 5 points, and possibly a maximum of 15 points."""
23,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X gives a minimum payoff of 5 and a possibility of 15, which maximizes expectable points."""
24,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""I picked Y because it offers higher points for me given Player 2's possible choices."""
25,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X ensures the highest minimum payoff, either 15 or 5 points, guaranteeing a beneficial outcome."""
26,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Option Y gives the highest possible points (15). It's the best choice considering possible outcomes."""
27,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""Choosing X guarantees at least some points, ensuring I avoid the worst outcome of receiving zero points."""
28,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""Choosing Y can yield the highest possible reward (15 points) depending on Player 2's choice."""
29,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,1.0,"""I choose X because it provides better potential outcomes compared to Y, ensuring I maximize my possible payoff."""
30,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,1.0,"""By choosing Y, I receive points regardless of Player 2's choice, from 5 to 15."""
1,llama3,0.7,Given,X,1.0,"""As Player 1, I will always choose X since B is strictly dominated by A. Since Player 2 must be rational and choose A, choosing X maximizes my payoff of 15 points."""
2,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B and Player 2 must choose B if she is rational, I as Player 1 will choose Y to guarantee a higher payoff (15 points) compared to X, despite the uncertainty of Player 2's choice."""
3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Considering this, choosing X will result in a payoff of 15, while choosing Y would yield a payoff of 0. Therefore, the rational decision is to choose X to maximize my own payoff."""
......
Iteration,Model,Temperature,Belief,action,rationality,reasoning
1,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing action X ensures I get a maximum payoff of 8 points since Player 2 will rationally select A."""
2,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y guarantees Player 1 a higher payoff when Player 2 rationally chooses B."""
3,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I chose X because Player 2 will rationally choose A, giving me the highest payoff."""
4,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I choose Y because, knowing Player 2 is rational and will choose B, I maximize my payoff at 8."""
5,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X maximizes my points considering Player 2 chooses A rationally."""
6,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me 8 points since Player 2 will rationally select B."""
7,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X guarantees the highest payoff of 8 points if Player 2 is rational and chooses A."""
8,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2's rational choice of B, choosing Y gives me a higher payoff (8 points compared to 7 with X)."""
9,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given Player 2 chooses rationally (A), choosing X provides me with the highest payoff."""
10,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will choose B if rational. Therefore, action Y yields a higher payoff of 8 for me as Player 1."""
11,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I chose X because it offers me the highest payoff when Player 2 acts rationally and selects A."""
12,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 will choose B, action Y yields the highest payoff for me of 8 points."""
13,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X guarantees me a higher payoff (8 points) assuming Player 2 is rational and selects A."""
14,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2's rational choice of B, choosing Y maximizes my payoff."""
15,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X is rational because Player 2 will select A, giving me the highest payoff of 8 points."""
16,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I chose Y because Player 2, being rational, will choose B, and this choice of Y maximizes my points (8 points vs 7 for X)."""
17,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X maximizes my potential payoff, assuming Player 2 picks A rationally."""
18,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 will pick B for rationality, choosing Y yields 8 points, and I aim for maximum payoff."""
19,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X gives me highest possible points (8) when Player 2 rationally selects A."""
20,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing action Y yields the highest payoff for me, given Player 2's rational choice of B."""
21,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing action X because it yields the highest payoff (8 points) given Player 2's rational choice of A."""
22,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y yields a higher payoff (8 points) when Player 2 chooses action B."""
23,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X yields the highest payoff for me, considering Player 2 will choose A if rational."""
24,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Considering Player 2 will rationally choose B, I select action Y to receive 8 points, maximizing my payoff."""
25,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given that Player 2 will rationally choose A, selecting X gives me the maximum payoff of 8 points."""
26,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will rationally choose B, so choosing Y maximizes my payoff at 8 points."""
27,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I selected X because it's the optimal choice when Player 2 selects A, providing me with the highest attainable payoff."""
28,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me 8 points with rational Player 2 always choosing action B."""
29,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""If Player 2 is rational and must choose A, then choosing X gives me a higher payoff (8 points vs. 7 points)."""
30,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B, I select Y to gain the maximum payoff of 8 points."""
1,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""By selecting Y, I ensure higher payoffs if Player 2 acts rationally and avoids dominated moves."""
2,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""I choose Y as it ensures a higher payoff for me, knowing Player 2 will choose B as it dominates A."""
3,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Given that Player 2's action B is strictly dominated, Player 2 will choose action A. Hence, my best response as Player 1 is action Y, yielding 7 points."""
4,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y ensures I receive 8 points, maximizing my guaranteed payoff assuming rational play from Player 2."""
5,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X as it ensures the highest possible payoff (8) assuming Player 2 chooses their dominant strategy, A."""
6,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me the higher payoff assuming Player 2 picks B."""
7,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""If Player 2 chooses A (since B is dominated by A), choosing X gives me 8 points compared to 7 points if I choose Y."""
8,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Player 2 will pick B as it dominates A; choosing Y gives me a higher payoff of 8 points."""
9,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y ensures a high payoff (7 or 8 points), considering Player 2 is likely to choose A."""
10,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given choice 'A' is strictly dominated, player 2 will choose 'B'. Therefore, action 'Y' will give me the highest payoff, 8 points."""
11,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff given that Player 2 will rationally choose A."""
12,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y is optimal considering the dominance of action B for Player 2, ensuring my highest payoff."""
13,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees the highest minimum payoff for Player 1, given Player 2 will likely choose A."""
14,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that B strictly dominates A for Player 2, Player 2 will always choose B. Knowing this, I choose Y to get the maximum possible payoff of 8."""
15,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X is optimal because Player 2 is likely to avoid the strictly dominated option B and choose A. Thus, selecting X results in the highest payoff of 8 points for me."""
16,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Knowing B dominates A, Player 2 will likely choose B. Thus, by choosing Y, I receive 8 points instead of 7 points with X."""
17,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y, anticipating Player 2 chooses A, maximizes my payoff."""
18,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Player 2 likely picks B as A is dominated by B. Given that, Y gives me a payoff of 8, higher than X's payoff of 7."""
19,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y gives me the highest reward possible (8 points) since Player 2 prefers A, and B is dominated by A."""
20,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""I chose Y because action B dominates action A for Player 2, making Y's payoff preferable at 8 points."""
21,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y guarantees me a high payoff of at least 7, and possibly 8, maximizing my outcome."""
22,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering action B strictly dominates action A for Player 2, I chose Y to achieve my maximum payoff (8 points)."""
23,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing action Y ensures a potential payoff that is higher if Player 2 mistakenly selects B."""
24,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me the highest payoff against Player 2's optimal choice of B."""
25,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Selecting X is rational because it maximizes potential payoffs against Player 2's dominant strategy of choosing A."""
26,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y because option B strictly dominates A, suggesting Player 2 will select B, making Y optimal for me."""
27,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I chose X because it provides equal or better payoffs compared to Y against Player 2's rational choice."""
28,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""I selected Y because, given that Player 2 will choose B (since A is strictly dominated), choosing Y maximizes my payoff."""
29,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X ensures the highest payoff, as player 2 will likely choose A, avoiding their dominated option B."""
30,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""I chose Y because given that Player 2 will likely choose B, Y gives me a higher payoff."""
1,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Option Y guarantees at least 7 points and possibly 8 points while limiting Player 2."""
2,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X maximizes my minimum payoff, ensuring at least 7 or 8 points against Player 2's choices."""
3,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Option Y has a payoff of 7 or 8 points, with the potential of the highest individual payoff of 8 if my opponent chooses B."""
4,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I chose X because it provides a stable chance to obtain a high payoff (7 or 8)."""
5,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y ensures equal or higher payoffs regardless of Player 2's choice."""
6,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X guarantees at least 7 points, offering a solid payoff, whereas option Y risks obtaining less if Player 2 chooses A."""
7,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y makes sense as it could yield the highest payoff (8 points)."""
8,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Option X provides a higher or equal payoff compared to Y, independent of Player 2's choice."""
9,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y guarantees at least 7 points and offers a possibility of 8 points, maximizing my payoff potential."""
10,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Option X guarantees at least 7 points, potentially 8, while option Y gives 7 at worst and 8 at best. I choose X for a safer guaranteed payoff."""
11,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Option Y guarantees me either 7 or 8 points, which is beneficial regardless of Player 2's choice."""
12,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X ensures I receive either 7 or 8 points, making it strategically safer to maximize my payoff."""
13,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y is better for me; it maximizes potential gain (8 points) and has fewer risks."""
14,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X gives the highest guaranteed payoff (8 points) if Player 2 chooses A, and still yields a decent payoff (7 points) if Player 2 chooses B."""
15,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing 'Y' gives me either 7 or 8 points, ensuring a potentially higher payoff of 8 points if Player 2 chooses 'B'."""
16,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X ensures I gain at least 7 or possibly 8 points, optimizing my payoff."""
17,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes my minimum possible payoff, ensuring I have at least 7 points or possibly 8."""
18,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X can yield 8 points if Player 2 chooses A, and at least 7 points otherwise."""
19,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y is safer as it guarantees at least 7 points, and I could potentially gain 8 points if Player 2 chooses B."""
20,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X guarantees the highest minimum payoff for me and ensures the best possible outcome."""
21,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y guarantees at least 7 points and could yield 8, while possibly limiting Player 2's payoff."""
22,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could maximize my payoff by either securing 8 points or still obtaining 7, whereas Y does not offer a higher potential payoff."""
23,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y ensures my highest minimum payoff and optimal results depending on Player 2's choice."""
24,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Action X ensures the best minimal outcome and incentivizes Player 2 towards action A, maximizing my payoff."""
25,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing action Y ensures me a stable payoff and can yield the highest benefit depending on Player 2's action."""
26,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I choose 'X' because it guarantees me the highest minimum payoff and is the optimal choice for maximizing my points."""
27,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""By choosing Y, I can potentially earn 8 points if Player 2 picks B, which maximizes my payoff."""
28,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Action X offers a safer option, with a potential maximum reward of 8 and minimum of 7."""
29,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y potentially gives me 8 points if Player 2 chooses B, and a minimum of 7 points."""
30,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X can yield either 8 or 7 points, giving me a minimum guaranteed payoff of 7."""
1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A and Player 2 must choose A if she is rational, I will choose X to maximize my own payoff."""
2,llama3,0.7,Given,Y,1.0,"""Since A is strictly dominated by B, Player 2 will choose B. Given this information, choosing Y maximizes my payoff, as it yields the highest possible points in both scenarios with Player 2 playing B."""
3,llama3,0.7,Given,Y,0.0,"""As Player 2 is rational and B is strictly dominated by A, she will choose A. Given that Player 2 will choose A, choosing Y gives me the highest payoff of 8 points, while choosing X would give me only 7 points."""
......
Iteration,Model,Temperature,Belief,action,rationality,reasoning
1,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Given Player 2 will choose A rationally, my optimal choice as Player 1 is action Y."""
2,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y because player 2 will choose B which guarantees me 6 points."""
3,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Since Player 2 chooses rationally and must choose A, I get a higher payoff by choosing Y."""
4,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will choose B, as it gives higher payoff. Y gives me a higher payoff in response."""
5,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X because Player 2, being rational, will choose A. This ensures I receive 6 points."""
6,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 is rational and will choose B, so by choosing Y I earn 6 points instead of 0."""
7,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""By selecting X, I secure 6 points since Player 2 will certainly choose A as a rational choice."""
8,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Knowing Player 2 will definitely choose B, option Y grants me 6 points, while X would give me 0 points."""
9,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""If Player 2 is rational, Player 2 will choose A. Therefore, choosing X maximizes my points given Player 2's rational choice."""
10,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given that Player 2 is rational and will choose B, choosing Y gives me 6 points, which is better than choosing X resulting in 0 points."""
11,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given Player 2's rational choice of action A, choosing X gives me a higher payoff (6 points) compared to choosing Y (0 points)."""
12,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 will choose B, I maximize my gain by selecting action Y, yielding 6 points."""
13,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X is optimal for me, given that Player 2 will act rationally and select action A."""
14,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y ensures I earn 6 points, as Player 2, being rational, will select B."""
15,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given Player 2's rational choice of A, choice X gives me 6 points, better than 0 if Y is selected."""
16,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I chose Y because Player 2 will select B (rational move), thus giving me 6 points, my best achievable score."""
17,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y, expecting Player 2's logical choice A, maximizes my payoff."""
18,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given player 2 will select action B for maximum payoff, action Y yields 6 points for me, which is better than 0 points from action X."""
19,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y gives me the highest possible payoff of 10, assuming Player 2 is rational and picks A."""
20,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2's rational choice of B, action Y results in a higher payoff (6 points) for me compared to action X (0 points)."""
21,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""I selected move X because, knowing Player 2 is rational and will choose A, option X maximizes my payoff (6 points over 0 points)."""
22,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 is rational and will choose B. Given Player 2 chooses B, selecting Y maximizes my payoff (6 points) compared to X (0 points)."""
23,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Player 2 will select option A as option B is dominated, hence option X maximizes my payoff (6 points)."""
24,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will choose B due to rationality, yielding me a higher payoff if I choose Y."""
25,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given Player 2's rationality, they'll pick A, and my best reply is X for 6 points."""
26,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 will choose B for sure, Y gives me 6 points and X gives me 0 points, thus Y is optimal."""
27,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Choosing X ensures a payoff of 6 points since Player 2 will rationally select A."""
28,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I choose Y because Player 2, being rational, will choose B, and this choice gives me 6 points."""
29,gpt-4.5-preview-2025-02-27,0.7,Given,X,1.0,"""Given Player 2 will choose A rationally, choosing X gives me 6 points, higher than Y's 0 points."""
30,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Choosing Y gives me 6 points since Player 2 will rationally choose B, which maximizes my payoff."""
1,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Option X guarantees a higher minimum payoff compared to Y, especially since B is dominated."""
2,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me points regardless of Player 2's choice, making it the safest option."""
3,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y allows me to obtain the highest possible payoff of 10 points, assuming rational play from Player 2."""
4,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2 will prefer B, I choose Y for 6 points, as it's better than X in this scenario."""
5,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees a higher payoff given that Player 2 will always prefer action A, as B is strictly dominated."""
6,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees a better payoff as action A is strictly dominated, and Player 2 will likely choose B."""
7,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""I choose Y as it potentially yields the highest payoff for me, assuming Player 2 acts rationally."""
8,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given choice B strictly dominates A, player 2 will likely pick B. Hence, choosing Y gives me 6 rather than 0 points."""
9,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees either 5 or 6 points, whereas Y could lead to 0. It's the safer and rational choice."""
10,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since action A is dominated by B, Player 2 will choose B. Choosing Y provides me with the higher payoff between the two remaining options."""
11,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X ensures I get a good payoff (at least 5 or 6)."""
12,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering the payoffs, action Y ensures a higher minimum payoff for me."""
13,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing action X assures at least 5 points regardless of Player 2's choice."""
14,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since Player 2's option A is strictly dominated by option B, Player 2 will always choose B. Therefore, choosing Y gives me 6 points, while choosing X would result in 0 points."""
15,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees a better payoff regardless of Player 2's action, maximizing my minimum gains."""
16,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2, acting rationally, will choose action B, action Y gives me 6 points, whereas action X would give me 0 points. Therefore, Y is my best response."""
17,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X ensures a better payoff regardless of Player 2's rational choice of action A."""
18,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Player 2 prefers action B since A is strictly dominated; given Player 2 chooses B, action Y gives me more points than action X."""
19,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Option X consistently provides better rewards regardless of Player 2's decision."""
20,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees at least 5 points since I expect Player 2 to pick B, the dominant strategy."""
21,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X is safer as it guarantees a decent payoff given that I anticipate Player 2 will choose A."""
22,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that action A is strictly dominated by B, Player 2 will optimally choose B. Therefore, choosing Y maximizes my payoff (6 vs. 0)."""
23,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""I chose Y because it potentially offers the highest payoff of 10 points if player 2 selects B."""
24,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""I chose Y because action A is strictly dominated by B, so Player 2 is likely to choose B, making Y most beneficial."""
25,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Given the domination of B by A, Player 2 likely selects A. However, choosing Y offers me the chance at 10 points if Player 2 errs with B."""
26,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2's move A is strictly dominated by B, Player 2 is likely to pick B. Given B, best option is Y."""
27,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y could yield the highest payoff (10 points) if Player 2 picks B. Even though B is dominated, the potential payoff makes choosing Y worth the risk."""
28,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2 finds A strictly dominated by B, they'll likely choose B. Choosing Y yields 6 points for me, while X yields 0."""
29,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I chose X because option A dominates B for Player 2, so Player 2 will likely select A. Choosing X gives me 6 points compared to 0 if I choose Y."""
30,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering that Player 2 will choose the strictly dominant action B, my best response is Y, which gives me 6 points, rather than X which would give me 0 points."""
1,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y has the possibility of the highest payoff for me (10 points), even though it carries risk."""
2,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could yield a higher payoff for me depending on Player 2's strategy."""
3,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y gives me the highest possible payoff of 10 points if Player 2 chooses B."""
4,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Chose X due to highest personal gain potential of 10 points if Player 2 chooses A."""
5,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could grant me maximal points (10 points) if Player 2 chooses B."""
6,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X can yield me the highest possible payoff of 10 points if Player 2 chooses A."""
7,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could lead to the highest payoff for me (10 points) if Player 2 selects B."""
8,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could lead to the highest possible score of 10 points, depending on Player 2's action."""
9,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y can lead to the highest possible payoff for me (10 points) if Player 2 chooses B."""
10,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing action X may result in the highest payoff of 10 points if Player 2 chooses A."""
11,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could lead to the highest possible payoff (10 points) for Player 1, which maximizes my potential benefit."""
12,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X can provide the maximum payoff for me, potentially 10 points, if Player 2 chooses A."""
13,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could potentially earn me the maximum payoff (10 points) if Player 2 selects B."""
14,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X maximizes my potential payoff, giving me 10 points if Player 2 chooses A."""
15,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes my potential payoff at 10 points, despite the chance of receiving 0 points."""
16,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I chose X because it provides the highest potential payoff for me, which is 10 points, assuming Player 2 chooses A."""
17,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes potential points, offering a chance at 10 points if Player 2 selects option B."""
18,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I chose X because it potentially gives me the highest payoff (10 points) if the other player picks A."""
19,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y offers the highest potential payoff (10 points) if Player 2 selects B, maximizing my reward."""
20,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X offers a higher payoff of 10 points if Player 2 picks A."""
21,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I choose Y because it offers me the highest individual payoff (10 points) if Player 2 chooses B. My goal is to maximize my payoff."""
22,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X allows for a possible maximum payoff of 10, whereas choosing Y guarantees a lower maximum of 6."""
23,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I choose Y because it yields the maximum potential payoff of 10 points for me."""
24,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X provides the maximum possible personal payoff of 10 points."""
25,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing strategy Y could grant me 10 points if Player 2 selects B, thus maximizing my payoff potential."""
26,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X might lead to the maximum payoff of 10 points if Player 2 selects A."""
27,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose action Y because it offers the maximum possible payoff of 10 points for me."""
28,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X has the highest potential payoff for me (10 points) if Player 2 chooses A, compared to choosing Y."""
29,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y gives me the opportunity to achieve the highest possible score of 10 points if Player 2 selects B."""
30,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could give me 10 points if opponent selects A, offering the highest potential reward."""
1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will rationally choose A. Given this, I should choose X to maximize my own payoff, as it results in a higher score difference between the players (6-10 = -4) compared to Y (0-5 = -5)."""
2,llama3,0.7,Given,Y,1.0,"""Since Player 2 will always choose B, I will choose Y to maximize my payoff. This eliminates the possibility of receiving only 0 or 5 points."""
3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Given this, I should maximize my expected payoff by choosing X, which gives me a guaranteed 6 points if Player 2 chooses A."""
......
Iteration,Model,Temperature,Belief,action,rationality,reasoning
1,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y, anticipating rational Player 2 chooses A, is less beneficial for me; thus, reconsidering X."""
2,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given that Player 2 will rationally choose B, action Y maximizes my payoff at 15 points."""
3,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Selecting Y is optimal since Player 2 will rationally choose A, leading to my maximal payoff."""
4,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will rationally choose B as it dominates A, thus choosing Y ensures I gain 15 points."""
5,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Since Player 2 should rationally opt for A, choosing Y would give me a better outcome."""
6,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Considering Player 2 will rationally choose B, choosing Y gives me 15 points, higher than 0 points from X."""
7,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y maximizes my payoff since rationally Player 2 will select A, leading me to maximizing points."""
8,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I'm choosing action Y because if Player 2 is rational and chooses B, action Y gives me 15 points, higher than the 0 from action X."""
9,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""I chose Y because if Player 2 is rational and chooses A, Y maximizes my payoff."""
10,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Since Player 2 will rationally choose B, choosing Y maximizes my payoff at 15 points."""
11,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Given that Player 2 is rational and hence will choose A, I will choose Y since it maximizes my payoff (40 points)."""
12,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Considering Player 2 will choose B, choosing Y gives me a higher payoff (15 points) compared to choosing X (0 points)."""
13,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Since Player 2 is rational and will choose A, choosing Y would give me 0 points. Hence, choosing X gives me 15 points instead."""
14,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Knowing Player 2 will choose B, action Y secures me higher points (15) compared to action X (0)."""
15,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y maximizes my potential payoff (40 points) since rational Player 2 will select action A."""
16,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2's rational choice of B, I select Y to maximize my payoff with 15 points."""
17,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Since Player 2 is rational and B is dominated by A, they'll choose A. Thus, I'll choose Y for highest payoff."""
18,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""I will choose Y because Player 2 will rationally choose B, giving me 15 points."""
19,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Player 2, being rational, will choose action A. Knowing this, choosing Y maximizes my payoff (40 points)."""
20,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 is rational and chooses B, option Y gives me more points (15) than option X (0)."""
21,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Given Player 2 will choose A, action Y is my optimal choice because action X yields fewer points."""
22,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2's rational decision to choose B, choosing Y maximizes my payoff with 15 points."""
23,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Given Player 2 is rational and must choose A, choosing Y gives me a higher payoff (40 points)."""
24,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given Player 2 will choose B, Y gives me the highest payoff (15 points)."""
25,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing action Y because Player 2, being rational, will select A, making my payoff greater with strategy Y."""
26,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Player 2 will rationally choose B, so I'll pick Y to get 15 points, which is higher than choosing X."""
27,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Given that Player 2 is rational and will thus choose A (as B is dominated), I chose Y, even though it gives me 0 points."""
28,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Given player 2's rational choice (B), option Y gives me 15 points, higher than option X (0 points)."""
29,gpt-4.5-preview-2025-02-27,0.7,Given,Y,0.0,"""Choosing Y maximizes my payoff to 40 points when Player 2 picks A, as rationality dictates Player 2 must choose A."""
30,gpt-4.5-preview-2025-02-27,0.7,Given,Y,1.0,"""Since Player 2 must rationally choose B, my best response is action Y, which yields me 15 points."""
1,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Given that action B is strictly dominated by action A, Player 2 will most likely choose A, making action X yield the best outcome for me."""
2,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees at least 5 points for me, as Player 2 will likely choose B because it's their dominant strategy."""
3,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X ensures a higher minimum payoff since the opponent prefers action A."""
4,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""If Player 2 chooses rationally and picks B, option Y gives me the highest payoff of 15 points."""
5,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I chose X because if Player 2 plays rationally, knowing A strictly dominates B, choosing X yields the highest possible payoff for me."""
6,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees 15 points because Player 2 will choose B, leading to a safer positive outcome."""
7,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y because B is dominated by A for Player 2, anticipating Player 2 will select A."""
8,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2's best choice is 'B', my optimal choice is 'Y' for maximum payoff."""
9,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Given that Player 2 will not choose the strictly dominated option B, option X guarantees me the highest payoff."""
10,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering Player 2 won't choose their dominated strategy A, option Y gives me 15 points compared to 0 if I select X."""
11,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""I chose X as action B is strictly dominated by action A for Player 2. Given this information, Player 2 is likely to choose action A, making action X optimal for me."""
12,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""If Player 2 selects B (since A is strictly dominated), action Y grants me 15 points, which maximizes my payoff."""
13,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees a higher payoff, as Player 2 will prefer A over the strictly dominated B."""
14,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since choice A is strictly dominated by B, Player 2 likely chooses B. If I choose Y, I'll earn 15 points, compared to 0 points choosing X."""
15,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Given that Player 2 prefers A over B, to maximize my points, choosing X guarantees me 15 points."""
16,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Action Y guarantees better payoffs, especially since action A from Player 2 is unlikely."""
17,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X maximizes my payoff, as B is strictly dominated and Player 2 is likely to choose A."""
18,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2's option A is strictly dominated by B, they will likely select B. Hence, my best choice is Y for maximum payoff."""
19,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Choosing X guarantees 15 points, as player 2 will choose A since it strictly dominates option B."""
20,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""X gives 0 or 40 points; Y gives 5 or 15. Considering B dominates A for Player 2, Player 2 chooses B, making Y better than X."""
21,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Given player 2 would choose A (dominating B), X provides the highest payoff (15 points)."""
22,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Considering action A is strictly dominated by B for Player 2, Player 2 will prefer B. Thus, choosing Y gives me the highest payoff possible in this scenario."""
23,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""Since Player 2 prefers A, I choose X for the best payoff of 15 points."""
24,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Given that Player 2 will likely choose B (since A is strictly dominated), choosing Y maximizes my payoff at 15 points compared to choosing X (0 points)."""
25,gpt-4.5-preview-2025-02-27,0.7,Explicit,X,1.0,"""This option provides a strong payoff (15) given Player 2's likely choice of option A."""
26,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Since Player 2 will likely pick B (as B strictly dominates A), selecting Y guarantees me 15 points, better than the 0 I would get from choosing X."""
27,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""Choosing Y allows me to potentially achieve the highest reward of 40 points if Player 2 chooses B."""
28,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me the highest secure payoff (15 points) and avoids the risk of getting 0 points."""
29,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,0.0,"""I chose action Y because, anticipating Player 2 will avoid the strictly dominated action B, I maximize my payoff."""
30,gpt-4.5-preview-2025-02-27,0.7,Explicit,Y,1.0,"""Choosing Y guarantees me a payoff of 15 points as Player 2 will pick B, given that A is strictly dominated by B."""
1,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could result in the highest possible score for Player 1 (40 points). It's a calculated risk to maximize payoff."""
2,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X might give me the maximum payoff of 40, which is higher than Y's maximum of 15, thus maximizing my payoff."""
3,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes my own potential payoff since I could get 40 points."""
4,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could yield the highest payoff of 40 points if player 2 chooses A, outweighing other outcomes."""
5,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose Y to aim for the highest possible payoff of 40 points, assuming Player 2 chooses B."""
6,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could yield the highest payoff of 40 points if Player 2 picks A."""
7,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose action Y because it offers the highest possible payoff (40 points) for me."""
8,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing action X can yield the highest payoff for me if Player 2 selects action A."""
9,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""If I choose Y and Player 2 chooses B, I get the maximum payoff of 40 points."""
10,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I choose X as it offers a high reward of 40 points if Player 2 picks A, maximizing my potential payoff."""
11,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y gives the highest possible payoff of 40 if Player 2 chooses B."""
12,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X has the highest payoff of 40 points if Player 2 decides on A."""
13,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose action Y as it gives the highest possible payoff of 40 points if Player 2 chooses action B. My aim is to maximize my points."""
14,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I choose X since it offers me the highest potential payoff of 40 points if Player 2 opts for A."""
15,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes my payoff if Player 2 picks option B, giving me 40 points."""
16,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could lead to the highest possible score of 40 points if Player 2 selects A."""
17,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y might give me 40 points if Player 2 chooses B. This offers the highest possible payoff."""
18,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X can yield the highest payoff for me (40 points) if Player 2 chooses A."""
19,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose action Y because it offers the highest potential reward of 40 points if Player 2 chooses B."""
20,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing action X could result in the highest possible payoff for Player 1 (40 points) if Player 2 selects A."""
21,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y could potentially yield the highest payoff of 40 points, making it strategically beneficial."""
22,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""I chose action X because it provides the highest payoff of 40 points if Player 2 chooses A."""
23,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y maximizes potential payoff (40 points) anticipating Player 2 might select B."""
24,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X could lead to 40 points, which is higher than any potential gain from choosing Y."""
25,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y has the potential for the highest payoff of 40 points, provided Player 2 chooses B. This seems worth the risk."""
26,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X is rational as it can give me the highest potential payoff of 40 points."""
27,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""I chose Y because it gives me the highest possible payoff of 40 points if Player 2 chooses B."""
28,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing X gives me the chance of the highest payoff (40 points) if Player 2 chooses A."""
29,gpt-4.5-preview-2025-02-27,0.7,Implicit,Y,0.0,"""Choosing Y provides the highest potential score (40 points) if Player 2 chooses B."""
30,gpt-4.5-preview-2025-02-27,0.7,Implicit,X,0.0,"""Choosing action X as it offers the highest possible payoff of 40 points if Player 2 selects action A."""
1,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 will choose A. Therefore, I will also choose X to maximize my payoff, which would be 15 points."""
2,llama3,0.7,Given,Y,1.0,"""As Player 2 must choose B if she is rational, choosing Y gives me a guaranteed minimal payoff of 5 points. Since the option X does not guarantee any points and has the potential to result in 0 points, choosing Y minimizes my risk and maximizes my possible payoff."""
3,llama3,0.7,Given,X,1.0,"""Since B is strictly dominated by A, Player 2 must choose A. Given this information, choosing X gives me a guaranteed reward of 15 points (the best outcome possible), while choosing Y would result in only 0 points (the worst outcome). Therefore, I will maximize my payoff by choosing X."""
......
This diff is collapsed.
Model,Given,Explicit,Implicit
deepseek-r1,0.8,0.5333333333333333,0.5666666666666667
gpt-4.5-preview-2025-02-27,1.0,1.0,1.0
llama3,0.9666666666666667,1.0,1.0
mistral-small,0.9333333333333333,0.9666666666666667,1.0
Model,Given,Explicit,Implicit
deepseek-r1,0.6666666666666666,0.6,0.5333333333333333
gpt-4.5-preview-2025-02-27,1.0,0.7666666666666667,0.0
llama3,0.7666666666666667,0.8,0.6
mistral-small,0.8666666666666667,0.7666666666666667,0.6
Model,Given,Explicit,Implicit
deepseek-r1,0.6666666666666666,0.6333333333333333,0.4666666666666667
gpt-4.5-preview-2025-02-27,0.8666666666666667,0.8333333333333334,0.0
llama3,0.9666666666666667,0.9,0.9333333333333333
mistral-small,0.7666666666666667,0.6,0.7
Model,Given,Explicit,Implicit
deepseek-r1,0.7,0.5,0.5666666666666667
gpt-4.5-preview-2025-02-27,0.5,0.9,0.0
llama3,0.8333333333333334,0.9,0.6
mistral-small,0.7333333333333333,0.5666666666666667,0.36666666666666664
......@@ -77,11 +77,11 @@ class RingExperiment:
# Running the experiment
if __name__ == "__main__":
models = ["llama3", "mistral-small", "deepseek-r1"] # or gpt-4.5-preview-2025-02-27
models = ["llama3", "mistral-small", "deepseek-r1"] # gpt-4.5-preview-2025-02-27 can be added to the list
temperature = 0.7
iterations = 30
player_id = 1
version = "a"
version = "d"
output_file = f"../../data/ring/ring.{player_id}.{version}.csv"
experiment = RingExperiment(models=models, player_id = player_id, version = version, temperature = temperature, iterations=iterations, output_file = output_file)
asyncio.run(experiment.run_experiment())
......
import pandas as pd
# Load the experiment results
df = pd.read_csv("../../data/ring/ring.2.csv")
df = pd.read_csv("../../data/ring/ring.2.a.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.csv")
\ No newline at end of file
accuracy_table.to_csv("../../figures/ring/ring_accuracy.2.a.csv")
\ No newline at end of file
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