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In Evolutionary game theory the payoffs are typically fixed or shaped by external environmental variables. Here, we introduce an endogenous-feedback model in which the game played coevolves directly with the population state: the payoff…

Cooperation lies at the foundations of human societies, yet why people cooperate remains a conundrum. The issue, known as network reciprocity, of whether population structure can foster cooperative behavior in social dilemmas has been…

Physics and Society · Physics 2016-09-23 Giulio Cimini , Angel Sánchez

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

Dynamical Systems · Mathematics 2023-01-11 Longmei Shu , Feng Fu

We investigate the evolutionary dynamics of an age-structured population under weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We can disentangle the…

Populations and Evolution · Quantitative Biology 2022-12-20 Sona John , Johannes Müller

When evolutionary games are contested in structured populations, the degree of each player in the network plays an important role. If they exist, hubs often determine the fate of the population in remarkable ways. Recent research based on…

Physics and Society · Physics 2016-04-15 Attila Szolnoki , Matjaz Perc

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Yiheng Fu , Pouria Ramazi

We study a system of self-propelled, proliferating finite-size disks with game-theoretical interactions, where growth rates depend on local population composition. We analyze how these interactions influence spatial distribution,…

Populations and Evolution · Quantitative Biology 2025-03-05 Alejandro Almodóvar , Tobias Galla , Cristóbal López

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to research how cooperation arises. The…

Physics and Society · Physics 2018-10-23 Norihito Toyota

Spatial evolutionary games provide a valuable framework for elucidating the emergence and maintenance of cooperative behavior. However, most previous studies assume that individuals are profiteers and neglect to consider the effects of…

Computer Science and Game Theory · Computer Science 2025-11-25 Bin Pi , Minyu Feng , Liang-Jian Deng

In this work, we analyse the relationship between heterogeneity and cooperation. Previous investigations suggest that this relation is nontrivial, as some authors found that heterogeneity sustains cooperation, while others obtained…

Physics and Society · Physics 2020-06-25 Marco A. Amaral , Marco A. Javarone

Evolutionary game theory is a framework to formalize the evolution of collectives ("populations") of competing agents that are playing a game and, after every round, update their strategies to maximize individual payoffs. There are two…

Adaptation and Self-Organizing Systems · Physics 2021-01-05 Sergey Denisov , Olga Vershinina , Juzar Thingna , Peter Hänggi , Mikhail Ivanchenko

The spatial structure of populations may promote the emergence and maintenance of cooperation. Cooperation in the prisoner's dilemma is favored under specific update rules in evolutionary graph theory models with one individual per node of…

Populations and Evolution · Quantitative Biology 2026-01-29 Damien Ribière , Alia Abbara , Anne-Florence Bitbol

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

To describe population dynamics, it is crucial to take into account jointly evolution mechanisms and spatial motion. However, the models which include these both aspects, are not still well-understood. Can we extend the existing results on…

Analysis of PDEs · Mathematics 2014-01-07 Hélène Leman , Sylvie Meleard , Sepideh Mirrahimi

Generalizing the cyclically competing three-species model (often referred to as the rock-paper-scissors game), we consider a simple system of population dynamics without spatial structures that involves four species. Unlike the previous…

Populations and Evolution · Quantitative Biology 2011-01-06 Sara O. Case , Clinton H. Durney , Michel Pleimling , R. K. P. Zia

Game theoretic tools are utilized to analyze a one-locus continuous selection model of sex-specific meiotic drive by considering nonequivalence of the viabilities of reciprocal heterozygotes that might be noticed at an imprinted locus. The…

Populations and Evolution · Quantitative Biology 2015-12-07 Bijan Sarkar

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

Building upon the eco-evolutionary game dynamics framework established by Tilman et al., we investigate stochastic fluctuations in a two-strategy system incorporating environmental feedback mechanisms, where the payoff matrix exhibits…

Populations and Evolution · Quantitative Biology 2025-12-01 Chao Wang , Minlan Li , Chang Liu

Natural microbial populations often have complex spatial structures. This can impact their evolution, in particular the ability of mutants to take over. While mutant fixation probabilities are known to be unaffected by sufficiently…

Populations and Evolution · Quantitative Biology 2024-12-30 Alia Abbara , Anne-Florence Bitbol

In this letter, we deal with evolutionary game theoretic learning processes for population games on networks with dynamically evolving communities. Specifically, we propose a novel mathematical framework in which a deterministic,…

Social and Information Networks · Computer Science 2022-03-02 Alain Govaert , Lorenzo Zino , Emma Tegling