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The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

统计力学 · 物理学 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

In this paper, the synchronization of heterogeneous agents interacting over a dynamical network is studied. The edge dynamics can model the inter-agent communications which are often heterogeneous by nature. They can also model the…

系统与控制 · 电气工程与系统科学 2022-11-09 Dan Wang , Wei Chen , Li Qiu

We discuss the behavior of two magnitudes, physical complexity and mutual information function of the outcome of a model of heterogeneous, inductive rational agents inspired in the El Farol Bar problem and the Minority Game. The first is a…

统计力学 · 物理学 2009-10-31 Ricardo Mansilla

Understanding the evolution of human social systems requires flexible formalisms for the emergence of institutions. Although game theory is normally used to model interactions individually, larger spaces of games can be helpful for modeling…

物理与社会 · 物理学 2021-08-12 Seth Frey , Curtis Atkisson

We introduce a minimal model of multilevel selection on structured populations, considering the interplay between game theory and population dynamics. Through a bottleneck process, finite groups are formed with cooperators and defectors…

种群与进化 · 定量生物学 2023-10-02 Jeferson J. Arenzon , Luca Peliti

Large-scale multi-agent systems are often deployed across wide geographic areas, where agents interact with heterogeneous environments. There is an emerging interest in understanding the role of heterogeneity in the performance of the…

机器学习 · 计算机科学 2026-05-18 Leo Muxing Wang , Pengkun Yang , Lili Su

We show that a simple evolutionary scheme, when applied to the minority game (MG), changes the phase structure of the game. In this scheme each agent evolves individually whenever his wealth reaches the specified bankruptcy level, in…

统计力学 · 物理学 2009-11-10 Baosheng Yuan , Kan Chen

We study the dynamics and statics of a dilute batch minority game with random external information. We focus on the case in which the number of connections per agent is infinite in the thermodynamic limit. The dynamical scenario of…

无序系统与神经网络 · 物理学 2009-11-10 Tobias Galla

Dormancy is a widespread adaptive strategy that enables populations to persist in fluctuating environments, yet how its benefits depend on the temporal structure of environmental variability remains unclear. We examine how dormancy…

种群与进化 · 定量生物学 2025-12-08 Jorge Hidalgo , Lorenzo Fant , Rafael Rubio de Casas , Miguel A. Muñoz

Mean Field Game (MFG) models implicitly assume "rational expectations", meaning that the heterogeneous agents being modeled correctly know all relevant transition probabilities for the complex system they inhabit. When there is common…

偏微分方程分析 · 数学 2026-02-26 Benjamin Moll , Lenya Ryzhik

Learning algorithms are essential for the applications of game theory in a networking environment. In dynamic and decentralized settings where the traffic, topology and channel states may vary over time and the communication between agents…

机器学习 · 计算机科学 2011-03-15 Quanyan Zhu , Hamidou Tembine , Tamer Basar

A central problem in the theory of multi-agent reinforcement learning (MARL) is to understand what structural conditions and algorithmic principles lead to sample-efficient learning guarantees, and how these considerations change as we move…

机器学习 · 计算机科学 2023-05-02 Dylan J. Foster , Dean P. Foster , Noah Golowich , Alexander Rakhlin

We consider a social system of interacting heterogeneous agents with learning abilities, a model close to Random Field Ising Models, where the random field corresponds to the idiosyncratic willingness to pay. Given a fixed price, agents…

物理与社会 · 物理学 2009-11-13 Viktoriya Semeshenko , Mirta B. Gordon , Jean-Pierre Nadal

Understanding the emergence of inequality in complex systems requires attention to both structural dynamics and intrinsic heterogeneity. In the context of opinion dynamics, traditional models relied on static snapshots or assumed…

社会与信息网络 · 计算机科学 2026-02-10 Akshay Gangadhar , Hiroki Sayama

Models in evolutionary game theory traditionally assume symmetric interactions in homogeneous environments. Here, we consider populations evolving in a heterogeneous environment, which consists of patches of different qualities that are…

种群与进化 · 定量生物学 2018-12-11 Christoph Hauert , Camille Saade , Alex McAvoy

Interactions between people are the basis on which the structure of our society arises as a complex system and, at the same time, are the starting point of any physical description of it. In the last few years, much theoretical research has…

计算机科学与博弈论 · 计算机科学 2017-12-06 Mattia Mazzoli , Angel Sanchez

We study opinion dynamics in a population of interacting adaptive agents voting on a set of complex multidimensional issues. We consider agents which can classify issues into for or against. The agents arrive at the opinions about each…

物理与社会 · 物理学 2009-03-11 Renato Vicente , Andre C. R. Martins , Nestor Caticha

We study the dynamics of a spin-flip model with a mean field interaction. The system is non reversible, spacially inhomogeneous, and it is designed to model social interactions. We obtain the limiting behavior of the empirical averages in…

概率论 · 数学 2015-05-14 Francesca Collet , Paolo Dai Pra , Elena Sartori

We consider a version of large population games whose agents compete for resources using strategies with adaptable preferences. The games can be used to model economic markets, ecosystems or distributed control. Diversity of initial…

统计力学 · 物理学 2009-11-11 K. Y. Michael Wong , S. W. Lim , Zhuo Gao

Complex adaptive systems have been the subject of much recent attention. It is by now well-established that members (`agents') tend to self-segregate into opposing groups characterized by extreme behavior. However, while different social…

凝聚态物理 · 物理学 2009-11-07 Shahar Hod , Ehud Nakar