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Network games provide a natural machinery to compactly represent strategic interactions among agents whose payoffs exhibit sparsity in their dependence on the actions of others. Besides encoding interaction sparsity, however, real networks…

Computational Engineering, Finance, and Science · Computer Science 2021-01-22 Kun Jin , Yevgeniy Vorobeychik , Mingyan Liu

Adjustable autonomy refers to entities dynamically varying their own autonomy, transferring decision-making control to other entities (typically agents transferring control to human users) in key situations. Determining whether and when…

Artificial Intelligence · Computer Science 2011-06-24 D. V. Pynadath , P. Scerri , M. Tambe

As autonomous agents become more prevalent, understanding their collective behaviour in strategic interactions is crucial. This study investigates the emergent cooperative tendencies of systems of Large Language Model (LLM) agents in a…

Multiagent Systems · Computer Science 2025-01-28 Richard Willis , Yali Du , Joel Z Leibo , Michael Luck

In stochastic dynamic environments, team Markov games have emerged as a versatile paradigm for studying sequential decision-making problems of fully cooperative multi-agent systems. However, the optimality of the derived policies is usually…

Optimization and Control · Mathematics 2022-05-03 Feng Huang , Ming Cao , Long Wang

This letter studies multi-agent reinforcement learning in partially observable Markov potential games. Solving this problem is challenging due to partial observability, decentralized information, and the curse of dimensionality. First, to…

Multiagent Systems · Computer Science 2026-04-02 Wonseok Yang , Thinh T. Doan

Potential games are arguably one of the most important and widely studied classes of normal form games. They define the archetypal setting of multi-agent coordination as all agent utilities are perfectly aligned with each other via a common…

Machine Learning · Computer Science 2025-09-24 Stefanos Leonardos , Will Overman , Ioannis Panageas , Georgios Piliouras

The \$-Game was recently introduced as an extension of the Minority Game. In this paper we compare this model with the well know Minority Game and the Majority Game models. Due to the inter-temporal nature of the market payoff, we introduce…

Statistical Mechanics · Physics 2008-12-02 F. F. Ferreira , M. Marsili

Multi-agent reinforcement learning methods have shown remarkable potential in solving complex multi-agent problems but mostly lack theoretical guarantees. Recently, mean field control and mean field games have been established as a…

Machine Learning · Computer Science 2021-12-20 Kai Cui , Anam Tahir , Mark Sinzger , Heinz Koeppl

In various economic environments, people observe other people with whom they strategically interact. We can model such information-sharing relations as an information network, and the strategic interactions as a game on the network. When…

Methodology · Statistics 2019-11-27 Nathan Canen , Jacob Schwartz , Kyungchul Song

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

Social dilemmas are situations where groups of individuals can benefit from mutual cooperation but conflicting interests impede them from doing so. This type of situations resembles many of humanity's most critical challenges, and…

Machine Learning · Computer Science 2023-05-22 Manuel Rios , Nicanor Quijano , Luis Felipe Giraldo

Recent advances in large language models (LLMs) have spurred growing interest in using LLM-integrated agents for social simulation, often under the implicit assumption that realistic population dynamics will emerge once role-specified…

Multiagent Systems · Computer Science 2026-05-08 Yiming Li , Dacheng Tao

A broad current application of algorithms is in formal and quantitative measures of murky concepts -- like merit -- to make decisions. When people strategically respond to these sorts of evaluations in order to gain favorable decision…

Computers and Society · Computer Science 2023-10-06 Benjamin Laufer , Jon Kleinberg , Karen Levy , Helen Nissenbaum

In this work, we systematically investigate mean field games and mean field type control problems with multiple populations using a coupled system of forward-backward stochastic differential equations of McKean-Vlasov type stemming from…

Probability · Mathematics 2020-11-03 Masaaki Fujii

We review the recent approaches to modelling financial markets based on multi-agent systems. After a brief summary of the basic stylised facts observed in real-market time-series we discuss some simple agent-based systems which are…

Physics and Society · Physics 2008-12-02 Tobias Galla , Giancarlo Mosetti , Yi-Cheng Zhang

Evolutionary game theory has been successfully used to investigate the dynamics of systems, in which many entities have competitive interactions. From a physics point of view, it is interesting to study conditions under which a coordination…

Physics and Society · Physics 2015-05-14 Dirk Helbing , Anders Johansson

Getting a group to adopt cooperative norms is an enduring challenge. But in real-world settings, individuals don't just passively accept static environments, they act both within and upon the social systems that structure their…

Social and Information Networks · Computer Science 2025-02-11 Qiankun Zhong , Nori Jacoby , Ofer Tchernichovski , Seth Frey

Mean field game theory studies the behavior of a large number of interacting individuals in a game theoretic setting and has received a lot of attention in the past decade (Lasry and Lions, Japanese journal of mathematics, 2007). In this…

Optimization and Control · Mathematics 2019-10-31 Martin Frank , Michael Herty , Torsten Trimborn

Dynamic game theory is an increasingly popular tool for modeling multi-agent, e.g. human-robot, interactions. Game-theoretic models presume that each agent wishes to minimize a private cost function that depends on others' actions. These…

Robotics · Computer Science 2025-10-17 Cade Armstrong , Ryan Park , Xinjie Liu , Kushagra Gupta , David Fridovich-Keil

Animal behavior and evolution can often be described by game-theoretic models. Although in many situations, the number of players is very large, their strategic interactions are usually decomposed into a sum of two-player games. Only…

Populations and Evolution · Quantitative Biology 2007-05-23 Dominik Kaminski , Jacek Miekisz , Marcin Zaborowski