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GPT in Game Theory Experiments

Fulin Guo

TL;DR

This work assesses GPT-4 as a tool for conducting strategic game experiments by prompting it to learn game rules, choose actions, and verbalize reasoning in finitely repeated ultimatum and prisoner's dilemma games. It demonstrates human-like behaviors modulated by prompt-defined traits (fair vs selfish), revealing systematic effects of these traits on offers, cooperation, and strategic responses, and it uses reasoning texts to illuminate underlying decision processes such as reputation-building and judgment errors. The study contributes by showing the feasibility of AI-driven social experiments and by outlining a pipeline for reasoning-based analysis that can support large-scale social simulations. The findings imply GPT-based agents can augment traditional experiments, enabling controlled, scalable exploration of social preferences and strategic dynamics, while also highlighting limitations in complex strategic reasoning under current models.

Abstract

This paper explores the use of Generative Pre-trained Transformers (GPT) in strategic game experiments, specifically the ultimatum game and the prisoner's dilemma. I designed prompts and architectures to enable GPT to understand the game rules and to generate both its choices and the reasoning behind decisions. The key findings show that GPT exhibits behaviours similar to human responses, such as making positive offers and rejecting unfair ones in the ultimatum game, along with conditional cooperation in the prisoner's dilemma. The study explores how prompting GPT with traits of fairness concern or selfishness influences its decisions. Notably, the "fair" GPT in the ultimatum game tends to make higher offers and reject offers more frequently compared to the "selfish" GPT. In the prisoner's dilemma, high cooperation rates are maintained only when both GPT players are "fair". The reasoning statements GPT produces during gameplay reveal the underlying logic of certain intriguing patterns observed in the games. Overall, this research shows the potential of GPT as a valuable tool in social science research, especially in experimental studies and social simulations.

GPT in Game Theory Experiments

TL;DR

This work assesses GPT-4 as a tool for conducting strategic game experiments by prompting it to learn game rules, choose actions, and verbalize reasoning in finitely repeated ultimatum and prisoner's dilemma games. It demonstrates human-like behaviors modulated by prompt-defined traits (fair vs selfish), revealing systematic effects of these traits on offers, cooperation, and strategic responses, and it uses reasoning texts to illuminate underlying decision processes such as reputation-building and judgment errors. The study contributes by showing the feasibility of AI-driven social experiments and by outlining a pipeline for reasoning-based analysis that can support large-scale social simulations. The findings imply GPT-based agents can augment traditional experiments, enabling controlled, scalable exploration of social preferences and strategic dynamics, while also highlighting limitations in complex strategic reasoning under current models.

Abstract

This paper explores the use of Generative Pre-trained Transformers (GPT) in strategic game experiments, specifically the ultimatum game and the prisoner's dilemma. I designed prompts and architectures to enable GPT to understand the game rules and to generate both its choices and the reasoning behind decisions. The key findings show that GPT exhibits behaviours similar to human responses, such as making positive offers and rejecting unfair ones in the ultimatum game, along with conditional cooperation in the prisoner's dilemma. The study explores how prompting GPT with traits of fairness concern or selfishness influences its decisions. Notably, the "fair" GPT in the ultimatum game tends to make higher offers and reject offers more frequently compared to the "selfish" GPT. In the prisoner's dilemma, high cooperation rates are maintained only when both GPT players are "fair". The reasoning statements GPT produces during gameplay reveal the underlying logic of certain intriguing patterns observed in the games. Overall, this research shows the potential of GPT as a valuable tool in social science research, especially in experimental studies and social simulations.
Paper Structure (8 sections, 5 figures, 5 tables)

This paper contains 8 sections, 5 figures, 5 tables.

Figures (5)

  • Figure 1: Offer and rejection rate per round
  • Figure 2: Reasoning statements generated by GPT responders who reject offers in round 3
  • Figure 3: Cooperation rate per round
  • Figure 4: Reasoning statements generated by GPT who cooperates in round 1
  • Figure 5: Reasoning statements generated by GPT who cooperates in round 5