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Agent-based models help explain stock price dynamics as emergent phenomena driven by interacting investors. In this modeling tradition, investor behavior has typically been captured by two distinct mechanisms -- learning and heterogeneous…

Computers and Society · Computer Science 2025-11-12 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The strategic selection of resources by selfish agents has long been a key area of research, with Resource Selection Games and Congestion Games serving as prominent examples. In these traditional frameworks, agents choose from a set of…

Computer Science and Game Theory · Computer Science 2025-05-13 Henri Zeiler

Dynamic environments shape diverse dynamics in evolutionary game systems. We introduce spatial heterogeneity of resources into the prisoner's dilemma game model to explore coevolutionary game dynamics with environmental feedback. The…

Populations and Evolution · Quantitative Biology 2025-02-17 Yi-Duo Chen , Jian-Yue Guan , Zhi-Xi Wu

Most of the literature on learning in games has focused on the restrictive setting where the underlying repeated game does not change over time. Much less is known about the convergence of no-regret learning algorithms in dynamic multiagent…

Machine Learning · Computer Science 2023-10-19 Ioannis Anagnostides , Ioannis Panageas , Gabriele Farina , Tuomas Sandholm

We study the dynamics of a version of the batch minority game, with random external information and with different types of inhomogeneous decision noise (additive and multiplicative), using generating functional techniques \`{a} la De…

Disordered Systems and Neural Networks · Physics 2009-11-07 A. C. C. Coolen , J. A. F. Heimel , D. Sherrington

Heterogeneity is a fundamental property in multi-agent reinforcement learning (MARL), which is closely related not only to the functional differences of agents, but also to policy diversity and environmental interactions. However, the MARL…

Multiagent Systems · Computer Science 2025-12-30 Tianyi Hu , Zhiqiang Pu , Yuan Wang , Tenghai Qiu , Min Chen , Xin Yu

In the study of the evolution of cooperation, resource limitations are usually assumed just to provide a finite population size. Recently, however, it has been pointed out that resource limitation may also generate dynamical payoffs able to…

Biological Physics · Physics 2013-12-13 R. J. Requejo , J. Camacho

We discover the mechanism for the transition from self-segregation (into opposing groups) to clustering (towards cautious behaviors) in the evolutionary minority game (EMG). The mechanism is illustrated with a statistical mechanics analysis…

Condensed Matter · Physics 2013-05-29 Kan Chen , Bing-Hong Wang , Baosheng Yuan

Learning by experience in Multi-Agent Systems (MAS) is a difficult and exciting task, due to the lack of stationarity of the environment, whose dynamics evolves as the population learns. In order to design scalable algorithms for systems…

Optimization and Control · Mathematics 2020-02-24 Romuald Elie , Julien Pérolat , Mathieu Laurière , Matthieu Geist , Olivier Pietquin

Exploring the collective behavior of interacting entities is of great interest and importance. Rather than focusing on static and uniform connections, we examine the co-evolution of diverse mobile agents experiencing varying interactions…

Physics and Society · Physics 2023-10-16 Guram Mikaberidze , Sayantan Nag Chowdhury , Alan Hastings , Raissa M. DSouza

We investigate different versions of the minority game, a toy model for agents buying and selling a commodity. The Hamming distance between the strategies used by agents to take decisions is introduced as an analytical tool to determine…

adap-org · Physics 2009-10-31 R. D'hulst , G. J. Rodgers

Axelrod's model for the dissemination of culture combines two key ingredients of social dynamics: social influence, through which people become more similar when they interact, and homophily, which is the tendency of individuals to interact…

Physics and Society · Physics 2020-03-11 Sandro M. Reia , Paulo F. Gomes , José F. Fontanari

The El Farol bar model, proposed to study the dynamics of competition of agents in a variety of contexts (W. B. Arthur, Amer. Econ. Assoc. Pap. and Proc. 84, 406 (1994)) is studied. We characterize in detail the three regions of the phase…

Statistical Mechanics · Physics 2009-10-31 M. A. R. de Cara , O. Pla , F. Guinea

Hindsight rationality is an approach to playing general-sum games that prescribes no-regret learning dynamics for individual agents with respect to a set of deviations, and further describes jointly rational behavior among multiple agents…

Computer Science and Game Theory · Computer Science 2022-06-03 Dustin Morrill , Ryan D'Orazio , Marc Lanctot , James R. Wright , Michael Bowling , Amy R. Greenwald

We study discrete-time, finite-state mean-field games (MFGs) under model uncertainty, where agents face ambiguity about the state transition probabilities. Each agent maximizes its expected payoff against the worst-case transitions within…

Optimization and Control · Mathematics 2026-01-21 Zongxia Liang , Zhou Zhou , Yaqi Zhuang , Bin Zou

We employ an agent-based model for cultural dynamics to investigate the effects of spatial heterogeneities on the collective behavior of a social system. We introduce heterogeneity as a random distribution of defects or imperfections in a…

Physics and Society · Physics 2021-02-03 M. G. Cosenza , O. Alvarez-Llamoza , C. Echeverría , K. Tucci

Federated learning offers a decentralized approach to machine learning, where multiple agents collaboratively train a model while preserving data privacy. In this paper, we investigate the decision-making and equilibrium behavior in…

Computer Science and Game Theory · Computer Science 2025-03-13 Lihui Yi , Xiaochun Niu , Ermin Wei

Designing socially optimal policies in multi-agent environments is a fundamental challenge in both economics and artificial intelligence. This paper studies a general framework for learning Stackelberg equilibria in dynamic and uncertain…

Systems and Control · Electrical Eng. & Systems 2025-09-23 Jun He , Andrew L. Liu , Yihsu Chen

The existence of simple uncoupled no-regret learning dynamics that converge to correlated equilibria in normal-form games is a celebrated result in the theory of multi-agent systems. Specifically, it has been known for more than 20 years…

Computer Science and Game Theory · Computer Science 2021-05-28 Gabriele Farina , Andrea Celli , Alberto Marchesi , Nicola Gatti

We consider model-based multi-agent reinforcement learning, where the environment transition model is unknown and can only be learned via expensive interactions with the environment. We propose H-MARL (Hallucinated Multi-Agent Reinforcement…

Machine Learning · Computer Science 2022-07-12 Pier Giuseppe Sessa , Maryam Kamgarpour , Andreas Krause
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