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In this paper, we investigate the seeking of Nash equilibrium (NE) in a non-cooperative quadratic game where all agents exchange their delayed strategy information with their neighbors. To extend best-response algorithms to the delayed…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Kaichen Jiang , Yuyue Yan , Mingda Yue , Yuhu Wu

A noncooperative differential (dynamic) game model of opinion dynamics is proposed. In this game, the agents' motives are shaped by their expectations of the nature of others' opinions as well as how susceptible they are to get influenced…

Optimization and Control · Mathematics 2020-02-25 Muhammad Umar B. Niazi , Arif Bülent Özgüler

In this tutorial, we provide an introduction to machine learning methods for finding Nash equilibria in games with large number of agents. These types of problems are important for the operations research community because of their…

Optimization and Control · Mathematics 2024-06-18 Gokce Dayanikli , Mathieu Lauriere

This paper explores advanced topics in complex multi-agent systems building upon our previous work. We examine four fundamental challenges in Multi-Agent Reinforcement Learning (MARL): non-stationarity, partial observability, scalability…

Multiagent Systems · Computer Science 2024-12-31 Neil De La Fuente , Miquel Noguer i Alonso , Guim Casadellà

Mathematical models of interactions among rational agents have long been studied in game theory. However these interactions are often over a small set of discrete game actions which is very different from how humans communicate in natural…

Computation and Language · Computer Science 2024-12-17 Ian Gemp , Roma Patel , Yoram Bachrach , Marc Lanctot , Vibhavari Dasagi , Luke Marris , Georgios Piliouras , Siqi Liu , Karl Tuyls

Nash equilibrium is one of the most influential solution concepts in game theory. With the development of computer science and artificial intelligence, there is an increasing demand on Nash equilibrium computation, especially for Internet…

Computer Science and Game Theory · Computer Science 2023-12-19 Hanyu Li , Wenhan Huang , Zhijian Duan , David Henry Mguni , Kun Shao , Jun Wang , Xiaotie Deng

Large Language Models (LLMs) have increasingly demonstrated the ability to facilitate the development of multi-agent systems that allow the interpretation of thoughts and actions generated by each individual. Promising advancements have…

Multiagent Systems · Computer Science 2024-09-24 Asher Sprigler , Alexander Drobek , Keagan Weinstock , Wendpanga Tapsoba , Gavin Childress , Andy Dao , Lucas Gral

In the context of large population symmetric games, approximate Nash equilibria are introduced through equilibrium solutions of the corresponding mean field game in the sense that the individual gain from optimal unilateral deviation under…

Computer Science and Game Theory · Computer Science 2026-01-30 Mao Fabrice Djete , Nizar Touzi

The standard Reinforcement Learning from Human Feedback (RLHF) framework primarily focuses on optimizing the performance of large language models using pre-collected prompts. However, collecting prompts that provide comprehensive coverage…

Computation and Language · Computer Science 2024-06-18 Rui Zheng , Hongyi Guo , Zhihan Liu , Xiaoying Zhang , Yuanshun Yao , Xiaojun Xu , Zhaoran Wang , Zhiheng Xi , Tao Gui , Qi Zhang , Xuanjing Huang , Hang Li , Yang Liu

Large Language Models (LLMs) are increasingly applied to domains that require reasoning about other agents' behavior, such as negotiation, policy design, and market simulation, yet existing research has mostly evaluated their adherence to…

Artificial Intelligence · Computer Science 2025-10-14 Enric Junque de Fortuny , Veronica Roberta Cappelli

A wide range of real-world applications is characterized by their symbolic nature, necessitating a strong capability for symbolic reasoning. This paper investigates the potential application of Large Language Models (LLMs) as symbolic…

Computation and Language · Computer Science 2024-01-18 Meng Fang , Shilong Deng , Yudi Zhang , Zijing Shi , Ling Chen , Mykola Pechenizkiy , Jun Wang

Large Language Models (LLMs) are increasingly deployed in socially complex, interaction-driven tasks, yet their ability to mirror human behavior in emotionally and strategically complex contexts remains underexplored. This study assesses…

Computation and Language · Computer Science 2025-09-23 Deuksin Kwon , Kaleen Shrestha , Bin Han , Elena Hayoung Lee , Gale Lucas

We establish Nash equilibrium learning in large populations of noncooperative, strategic agents. Our analysis considers the broadest class to date of payoff mechanisms with first-order modifications, capable of modeling bounded rationality…

Systems and Control · Electrical Eng. & Systems 2025-12-16 Matthew S. Hankins , Jair Certório , Tzuyu Jeng , Nuno C. Martins

In this paper, we explore the potential of Large Language Models (LLMs) Agents in playing the strategic social deduction game, Resistance Avalon. Players in Avalon are challenged not only to make informed decisions based on dynamically…

Artificial Intelligence · Computer Science 2023-11-09 Jonathan Light , Min Cai , Sheng Shen , Ziniu Hu

While Large Language Model (LLM)-based agents can be used to create highly engaging interactive applications through prompting personality traits and contextual data, effectively assessing their personalities has proven challenging. This…

Human-Computer Interaction · Computer Science 2025-10-29 Eswari Jayakumar , Niladri Sekhar Dash , Debasmita Mukherjee

Multi-agent large language models (MA-LLMs) are a rapidly growing research area that leverages multiple interacting language agents to tackle complex tasks, outperforming single-agent large language models. This literature review…

Multiagent Systems · Computer Science 2025-06-03 Arne Tillmann

We address in this paper Reinforcement Learning (RL) among agents that are grouped into teams such that there is cooperation within each team but general-sum (non-zero sum) competition across different teams. To develop an RL method that…

Machine Learning · Computer Science 2025-02-11 Muhammad Aneeq uz Zaman , Alec Koppel , Mathieu Laurière , Tamer Başar

The pursuit of human-level artificial intelligence (AI) has significantly advanced the development of autonomous agents and Large Language Models (LLMs). LLMs are now widely utilized as decision-making agents for their ability to interpret…

We study the global convergence of policy optimization for finding the Nash equilibria (NE) in zero-sum linear quadratic (LQ) games. To this end, we first investigate the landscape of LQ games, viewing it as a nonconvex-nonconcave…

Machine Learning · Computer Science 2021-02-12 Kaiqing Zhang , Zhuoran Yang , Tamer Başar

As AI systems advance in capabilities, measuring their safety and alignment to human values is becoming paramount. A fast-growing field of AI research is devoted to developing such assessments. However, most current advances therein may be…

Computers and Society · Computer Science 2026-03-17 Max Hellrigel-Holderbaum , Edward James Young
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