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We study the effects of individual perceptions of payoffs in two-player games. In particular we consider the setting in which individuals' perceptions of the game are influenced by their previous experiences and outcomes. Accordingly, we…

Computer Science and Game Theory · Computer Science 2019-06-05 Alberto Antonioni , Luis A. Martinez-Vaquero , Cole Mathis , Leto Peel , Massimo Stella

We consider a broad class of stochastic imitation dynamics over networks, encompassing several well known learning models such as the replicator dynamics. In the considered models, players have no global information about the game…

Systems and Control · Computer Science 2021-03-02 Lorenzo Zino , Giacomo Como , Fabio Fagnani

Coevolutionary dynamics is investigated in chemical catalysis, biological evolution, social and economic systems. The dynamics of these systems can be analyzed within the unifying framework of evolutionary game theory. In this Letter, we…

Populations and Evolution · Quantitative Biology 2012-06-12 Jens Christian Claussen , Arne Traulsen

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

Physics and Society · Physics 2018-02-02 Attila Szolnoki , Matjaz Perc

Across many domains of interaction, both natural and artificial, individuals use past experience to shape future behaviors. The results of such learning processes depend on what individuals wish to maximize. A natural objective is one's own…

Populations and Evolution · Quantitative Biology 2022-09-02 Alex McAvoy , Julian Kates-Harbeck , Krishnendu Chatterjee , Christian Hilbe

In recent years, there has been growing interest in studying evolutionary games with environmental feedback. Previous studies exclusively focus on two-player games. However, extension to multi-player game is needed to study problems such as…

Physics and Society · Physics 2019-07-24 Yanxuan Shao , Xin Wang , Feng Fu

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

As a simple model for criminal behavior, the traditional two-strategy inspection game yields counterintuitive results that fail to describe empirical data. The latter shows that crime is often recurrent, and that crime rates do not respond…

Physics and Society · Physics 2015-06-11 Matjaz Perc , Attila Szolnoki

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

Physics and Society · Physics 2015-11-11 Martin Spanknebel , Klaus Pawelzik

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

Physics and Society · Physics 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

Dynamical Systems · Mathematics 2020-08-03 Pedro Dal Bó , Enrique R. Pujals

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

The emergence of complex networks from evolutionary games is studied occurring when agents are allowed to switch interaction partners. For this purpose a coevolutionary iterated Prisoner's Dilemma game is defined on a random network with…

Disordered Systems and Neural Networks · Physics 2007-05-23 Holger Ebel , Stefan Bornholdt

The most common assumption in evolutionary game theory is that players should adopt a strategy that warrants the highest payoff. However, recent studies indicate that the spatial selection for cooperation is enhanced if an appropriate…

Physics and Society · Physics 2016-05-18 Attila Szolnoki , Matjaz Perc

Heterogeneity in individual characteristics and behaviour is a fundamental property of complex dynamical systems. While previous studies on evolutionary dynamics of strategies evolution in various systems have predominantly focused on the…

Physics and Society · Physics 2026-04-23 Xiaochen Wang

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

Evolutionary game theory is a common framework to study the evolution of cooperation, where it is usually assumed that the same game is played in all interactions. Here, we investigate a model where the game that is played by two…

Physics and Society · Physics 2015-10-21 Marco A. Amaral , Jafferson K. L. da Silva , Lucas Wardil

A general framework of evolutionary dynamics under heterogeneous populations is presented. The framework allows continuously many types of heterogeneous agents, heterogeneity both in payoff functions and in revision protocols and the entire…

Computer Science and Game Theory · Computer Science 2023-10-13 Dai Zusai

We consider a version of large population games whose players compete for resources using strategies with adaptable preferences. The system efficiency is measured by the variance of the decisions. In the regime where the system can be…

Condensed Matter · Physics 2009-11-10 K. Y. Michael Wong , S. W. Lim , Peixun Luo

Game theory has been one of the most successful quantitative concepts to describe social interactions, their strategical aspects, and outcomes. Among the payoff matrix quantifying the result of a social interaction, the interaction…

Physics and Society · Physics 2017-11-22 Wenjian Yu , Dirk Helbing