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We introduce the LLM-Nash framework, a game-theoretic model where agents select reasoning prompts to guide decision-making via Large Language Models (LLMs). Unlike classical games that assume utility-maximizing agents with full rationality,…

Artificial Intelligence · Computer Science 2025-07-14 Quanyan Zhu

As Large Language Models (LLMs) integrate into our social and economic interactions, we need to deepen our understanding of how humans respond to LLMs opponents in strategic settings. We present the results of the first controlled…

General Economics · Economics 2025-05-19 Darija Barak , Miguel Costa-Gomes

In tacit coordination games with multiple outcomes, purely rational solution concepts, such as Nash equilibria, provide no guidance for which equilibrium to choose. Shelling's theory explains how, in these settings, humans coordinate by…

Computer Science and Game Theory · Computer Science 2026-02-02 Ido Aharon , Emanuele La Malfa , Michael Wooldridge , Sarit Kraus

We develop a game-theoretic framework for predicting and steering the behavior of populations of large language models (LLMs) through Nash equilibrium (NE) analysis. To avoid the intractability of equilibrium computation in open-ended text…

Artificial Intelligence · Computer Science 2026-02-09 Tonghan Wang , Yuqi Pan , Xinyi Yang , Yanchen Jiang , Milind Tambe , David C. Parkes

Large language models (LLMs) are increasingly deployed to support human decision-making. This use of LLMs has concerning implications, especially when their prescriptions affect the welfare of others. To gauge how LLMs make social…

Computers and Society · Computer Science 2026-01-16 Saptarshi Pal , Abhishek Mallela , Christian Hilbe , Lenz Pracher , Chiyu Wei , Feng Fu , Santiago Schnell , Martin A Nowak

Strategic decision-making involves interactive reasoning where agents adapt their choices in response to others, yet existing evaluations of large language models (LLMs) often emphasize Nash Equilibrium (NE) approximation, overlooking the…

Artificial Intelligence · Computer Science 2025-11-04 Jingru Jia , Zehua Yuan , Junhao Pan , Paul E. McNamara , Deming Chen

Generative artificial intelligence (Generative AI), and in particular Large Language Models (LLMs) have gained significant popularity among researchers and industrial communities, paving the way for integrating LLMs in different domains,…

Computer Science and Game Theory · Computer Science 2024-10-15 Alonso Silva

Large language models are increasingly used in strategic decision-making settings, yet evidence shows that, like humans, they often deviate from full rationality. In this study, we compare LLMs and humans using experimental paradigms…

Artificial Intelligence · Computer Science 2025-06-12 Kehan Zheng , Jinfeng Zhou , Hongning Wang

The growing adoption of large language models (LLMs) presents potential for deeper understanding of human behaviours within game theory frameworks. Addressing research gap on multi-player competitive games, this paper examines the strategic…

General Economics · Economics 2024-10-04 Siting Estee Lu

Large language models (LLMs) are increasingly used both to make decisions in domains such as health, education and law, and to simulate human behavior. Yet how closely LLMs mirror actual human decision-making remains poorly understood. This…

Artificial Intelligence · Computer Science 2025-11-26 Andrea Cera Palatsi , Samuel Martin-Gutierrez , Ana S. Cardenal , Max Pellert

Game-theoretic approaches and Nash equilibrium have been widely applied across various engineering domains. However, practical challenges such as disturbances, delays, and actuator limitations can hinder the precise execution of Nash…

Computer Science and Game Theory · Computer Science 2026-03-17 Mahdis Rabbani , Navid Mojahed , Shima Nazari

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…

Artificial Intelligence · Computer Science 2024-11-13 Wenyue Hua , Ollie Liu , Lingyao Li , Alfonso Amayuelas , Julie Chen , Lucas Jiang , Mingyu Jin , Lizhou Fan , Fei Sun , William Wang , Xintong Wang , Yongfeng Zhang

As autonomous AI agents increasingly mediate online platform markets, a fundamental question emerges: do these markets generate stable strategic outcomes? In repeated strategic environments, the Nash equilibrium provides a natural benchmark…

Artificial Intelligence · Computer Science 2026-04-28 Enoch Hyunwook Kang

Large language models (LLMs) are increasingly being deployed as autonomous agents on behalf of institutions and individuals in economic, political, and social settings that involve negotiation. Yet this trend carries significant risks if…

Computer Science and Game Theory · Computer Science 2025-12-19 Manuel S. Ríos , Ruben F. Manrique , Nicanor Quijano , Luis F. Giraldo

Large Language Models (LLMs) have been increasingly used in real-world settings, yet their strategic decision-making abilities remain largely unexplored. To fully benefit from the potential of LLMs, it's essential to understand their…

Artificial Intelligence · Computer Science 2024-10-16 Nathan Herr , Fernando Acero , Roberta Raileanu , María Pérez-Ortiz , Zhibin Li

Large language model (LLM) agents are increasingly deployed in competitive multi-agent settings, raising fundamental questions about whether they converge to equilibria and how their strategic behavior can be characterized. In this paper,…

Multiagent Systems · Computer Science 2026-04-14 Jiayi Yao , Cong Chen , Baosen Zhang

The behavior of Large Language Models (LLMs) as artificial social agents is largely unexplored, and we still lack extensive evidence of how these agents react to simple social stimuli. Testing the behavior of AI agents in classic Game…

Computers and Society · Computer Science 2024-09-20 Nicoló Fontana , Francesco Pierri , Luca Maria Aiello

Large Language Model (LLM) agents are increasingly deployed in multi-agent systems requiring strategic coordination. While recent work has analyzed LLM behavior in two-player games, coalition formation, where $n$ agents dynamically form…

Computer Science and Game Theory · Computer Science 2026-04-17 Dongxin Guo , Jikun Wu , Siu-Ming Yiu

Strategic randomization is a key principle in game theory, yet it remains underexplored in large language models (LLMs). Prior work often conflates the cognitive decision to randomize with the mechanical generation of randomness, leading to…

Artificial Intelligence · Computer Science 2025-06-25 Lingyu Yang

This paper asks whether large language models (LLMs) can be used to study the strategic foundations of conflict and cooperation. I introduce LLMs as experimental subjects in a repeated security dilemma and evaluate whether they reproduce…

Computer Science and Game Theory · Computer Science 2026-05-06 Maxim Chupilkin
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