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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

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

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

LLM agents are known to deviate from Nash equilibria in strategic interactions, but nobody has looked inside the model to understand why, or asked whether the deviation can be reversed. We do both. Working with four open-source models…

Computer Science and Game Theory · Computer Science 2026-05-05 Paraskevas V. Lekeas , Giorgos Stamatopoulos

Multi-agent frameworks can substantially boost the reasoning power of large language models (LLMs), but they typically incur heavy computational costs and lack convergence guarantees. To overcome these challenges, we recast multi-LLM…

Machine Learning · Computer Science 2025-06-11 Xie Yi , Zhanke Zhou , Chentao Cao , Qiyu Niu , Tongliang Liu , Bo Han

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

Large Language Models (LLMs) can be deployed in situations where they process positive/negative interactions with other agents. We study how this is done under the sociological framework of social balance, which explains the emergence of…

Computation and Language · Computer Science 2026-01-07 Pedro Cisneros-Velarde

Large language models (LLMs) demonstrate strong reasoning abilities across mathematical, strategic, and linguistic tasks, yet little is known about how well they reason in dynamic, real-time, multi-agent scenarios, such as collaborative…

Multiagent Systems · Computer Science 2026-01-01 Shaurya Mallampati , Rashed Shelim , Walid Saad , Naren Ramakrishnan

Recent advancements in large language models (LLMs) revolutionize the field of intelligent agents, enabling collaborative multi-agent systems capable of tackling complex problems across various domains. However, the potential of conformity…

Computation and Language · Computer Science 2025-02-12 Zhiyuan Weng , Guikun Chen , Wenguan Wang

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

Computer Science and Game Theory · Computer Science 2014-01-16 Michal Feldman , Tami Tamir

Recent advances in Large Language Models (LLMs) have enabled multi-agent systems that simulate real-world interactions with near-human reasoning. While previous studies have extensively examined biases related to protected attributes such…

Artificial Intelligence · Computer Science 2025-06-03 Min Choi , Keonwoo Kim , Sungwon Chae , Sangyeob Baek

As agentic AI becomes more widespread, agents with distinct and possibly conflicting goals will interact in complex ways. These multi-agent interactions pose a fundamental challenge, particularly in social dilemmas, where agents' individual…

Machine Learning · Computer Science 2025-12-02 Dereck Piche , Mohammed Muqeeth , Milad Aghajohari , Juan Duque , Michael Noukhovitch , Aaron Courville

The study of emergent behaviors in large language model (LLM)-driven multi-agent systems is a critical research challenge, yet progress is limited by a lack of principled methodologies for controlled experimentation. To address this, we…

Artificial Intelligence · Computer Science 2025-10-13 So Kuroki , Yingtao Tian , Kou Misaki , Takashi Ikegami , Takuya Akiba , Yujin Tang

Multiagent learning settings are inherently more difficult than single-agent learning because each agent interacts with other simultaneously learning agents in a shared environment. An effective approach in multiagent reinforcement learning…

Computer Science and Game Theory · Computer Science 2022-10-31 Dong-Ki Kim , Matthew Riemer , Miao Liu , Jakob N. Foerster , Gerald Tesauro , Jonathan P. How

Large language model (LLM)-driven agents are emerging as a powerful new paradigm for solving complex problems. Despite the empirical success of these practices, a theoretical framework to understand and unify their macroscopic dynamics…

Machine Learning · Computer Science 2025-12-12 Zhuo-Yang Song , Qing-Hong Cao , Ming-xing Luo , Hua Xing Zhu

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

We consider seeking a Nash equilibrium (NE) of a monotone game, played by dynamic agents which are modeled as a class of lower-triangular nonlinear uncertain dynamics with external disturbances. We establish a general framework that…

Optimization and Control · Mathematics 2025-11-04 Weijian Li , Yutao Tang

Large language models (LLMs) are increasingly proposed as agents in strategic decision environments, yet their behavior in structured geopolitical simulations remains under-researched. We evaluate six popular state-of-the-art LLMs alongside…

Computation and Language · Computer Science 2026-03-03 Veronika Solopova , Viktoria Skorik , Maksym Tereshchenko , Alina Haidun , Ostap Vykhopen

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 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
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