Game-theoretic LLM: Agent Workflow for Negotiation Games

Fuente: arXiv
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Autori principali: Hua, Wenyue, Liu, Ollie, Li, Lingyao, Amayuelas, Alfonso, Chen, Julie, Jiang, Lucas, Jin, Mingyu, Fan, Lizhou, Sun, Fei, Wang, William, Wang, Xintong, Zhang, Yongfeng
Natura: Preprint
Pubblicazione: 2024
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author Hua, Wenyue
Liu, Ollie
Li, Lingyao
Amayuelas, Alfonso
Chen, Julie
Jiang, Lucas
Jin, Mingyu
Fan, Lizhou
Sun, Fei
Wang, William
Wang, Xintong
Zhang, Yongfeng
author_facet Hua, Wenyue
Liu, Ollie
Li, Lingyao
Amayuelas, Alfonso
Chen, Julie
Jiang, Lucas
Jin, Mingyu
Fan, Lizhou
Sun, Fei
Wang, William
Wang, Xintong
Zhang, Yongfeng
contents This paper investigates the rationality of large language models (LLMs) in strategic decision-making contexts, specifically within the framework of game theory. We evaluate several state-of-the-art LLMs across a spectrum of complete-information and incomplete-information games. Our findings reveal that LLMs frequently deviate from rational strategies, particularly as the complexity of the game increases with larger payoff matrices or deeper sequential trees. To address these limitations, we design multiple game-theoretic workflows that guide the reasoning and decision-making processes of LLMs. These workflows aim to enhance the models' ability to compute Nash Equilibria and make rational choices, even under conditions of uncertainty and incomplete information. Experimental results demonstrate that the adoption of these workflows significantly improves the rationality and robustness of LLMs in game-theoretic tasks. Specifically, with the workflow, LLMs exhibit marked improvements in identifying optimal strategies, achieving near-optimal allocations in negotiation scenarios, and reducing susceptibility to exploitation during negotiations. Furthermore, we explore the meta-strategic considerations of whether it is rational for agents to adopt such workflows, recognizing that the decision to use or forgo the workflow constitutes a game-theoretic issue in itself. Our research contributes to a deeper understanding of LLMs' decision-making capabilities in strategic contexts and provides insights into enhancing their rationality through structured workflows. The findings have implications for the development of more robust and strategically sound AI agents capable of navigating complex interactive environments. Code and data supporting this study are available at \url{https://github.com/Wenyueh/game_theory}.
format Preprint
id arxiv_https___arxiv_org_abs_2411_05990
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Game-theoretic LLM: Agent Workflow for Negotiation Games
Hua, Wenyue
Liu, Ollie
Li, Lingyao
Amayuelas, Alfonso
Chen, Julie
Jiang, Lucas
Jin, Mingyu
Fan, Lizhou
Sun, Fei
Wang, William
Wang, Xintong
Zhang, Yongfeng
Artificial Intelligence
Computation and Language
Computer Science and Game Theory
Machine Learning
Multiagent Systems
This paper investigates the rationality of large language models (LLMs) in strategic decision-making contexts, specifically within the framework of game theory. We evaluate several state-of-the-art LLMs across a spectrum of complete-information and incomplete-information games. Our findings reveal that LLMs frequently deviate from rational strategies, particularly as the complexity of the game increases with larger payoff matrices or deeper sequential trees. To address these limitations, we design multiple game-theoretic workflows that guide the reasoning and decision-making processes of LLMs. These workflows aim to enhance the models' ability to compute Nash Equilibria and make rational choices, even under conditions of uncertainty and incomplete information. Experimental results demonstrate that the adoption of these workflows significantly improves the rationality and robustness of LLMs in game-theoretic tasks. Specifically, with the workflow, LLMs exhibit marked improvements in identifying optimal strategies, achieving near-optimal allocations in negotiation scenarios, and reducing susceptibility to exploitation during negotiations. Furthermore, we explore the meta-strategic considerations of whether it is rational for agents to adopt such workflows, recognizing that the decision to use or forgo the workflow constitutes a game-theoretic issue in itself. Our research contributes to a deeper understanding of LLMs' decision-making capabilities in strategic contexts and provides insights into enhancing their rationality through structured workflows. The findings have implications for the development of more robust and strategically sound AI agents capable of navigating complex interactive environments. Code and data supporting this study are available at \url{https://github.com/Wenyueh/game_theory}.
title Game-theoretic LLM: Agent Workflow for Negotiation Games
topic Artificial Intelligence
Computation and Language
Computer Science and Game Theory
Machine Learning
Multiagent Systems
url https://arxiv.org/abs/2411.05990