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Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

种群与进化 · 定量生物学 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

Evolutionary prisoner's dilemma games are studied with players located on square lattice and random regular graphs defining four neighbors for each one. The players follow one of the three strategies: tit-for-tat, unconditional cooperation,…

物理与社会 · 物理学 2009-11-13 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

We study effects of strategy-dependent time delays on equilibria of evolving populations. It is well known that time delays may cause oscillations in dynamical systems. Here we report a novel behavior. We show that microscopic models of…

种群与进化 · 定量生物学 2021-04-13 Jacek Miȩkisz , Marek Bodnar

I present the results from a spatial model of the prisoner's dilemma, played on a toroidal lattice. Each individual has a default strategy of either cooperating ($C$) or defecting ($D$). Two strategies were tested, including ``tit-for-tat''…

物理与社会 · 物理学 2026-02-04 Gregg Hartvigsen

When the interactions between cooperators (C) and defectors (D) can be partially avoided within a population, there may be an overall enhancement of cooperation. One example of such screening mechanism occurs in the presence of risk-averse…

种群与进化 · 定量生物学 2017-09-20 Gabriel A. Canova , J. J. Arenzon

The study of the evolution of cooperative behaviours --which provide benefits to others-- and altruism --which provides benefits to others at a cost to oneself-- has been on the core of the evolutionary game theoretical framework since its…

种群与进化 · 定量生物学 2013-12-13 Rubén J. Requejo-Martínez

When three species compete cyclically in a well-mixed, stochastic system of $N$ individuals, extinction is known to typically occur at times scaling as the system size $N$. This happens, for example, in rock-paper-scissors games or…

物理与社会 · 物理学 2019-02-20 Kevin E. Bassler , Erwin Frey , R. K. P. Zia

The phenomenon of group cooperation constitutes a fundamental mechanism underlying various social and biological systems. Complex networks provide a structural framework for group interactions, where individuals can not only obtain…

物理与社会 · 物理学 2025-05-29 Hongqian Wu , Hongzhong Deng , Jichao Li , Chengxing Wu , Zhuoting Yu , Haidong Zhang , Gaoxin Qi

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

物理与社会 · 物理学 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

We study the effects of conformity, the tendency of humans to imitate locally common behaviors, in the evolution of cooperation when individuals occupy the vertices of a graph and engage in the one-shot Prisoner's Dilemma or the Snowdrift…

物理与社会 · 物理学 2010-11-24 Jorge Pena , Henri Volken , Enea Pestelacci , Marco Tomassini

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…

物理与社会 · 物理学 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

适应与自组织系统 · 物理学 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

This paper investigates discrete-time evolutionary games with a general stochastic imitation rule on the toroidal grid, which is a grid network with periodic boundary conditions. The imitation rule has been considered as a fundamental rule…

最优化与控制 · 数学 2023-06-30 Ge Chen , Yongyuan Yu

We study a condition of favoring cooperation in a Prisoner's Dilemma game on complex networks. There are two kinds of players: cooperators and defectors. Cooperators pay a benefit b to their neighbors at a cost c, whereas defectors only…

物理与社会 · 物理学 2019-11-20 Tomohiko Konno

Social hierarchy is important that can not be ignored in human socioeconomic activities and in the animal world. Here we incorporate this factor into the evolutionary game to see what impact it could have on the cooperation outcome. The…

物理与社会 · 物理学 2021-02-02 Rizhou Liang , Jiqiang Zhang , Guozhong Zheng , Li Chen

Coevolution between strategy and network structure is established as a means to arrive at optimal conditions for resolving social dilemmas. Yet recent research highlights that the interdependence between networks may be just as important as…

物理与社会 · 物理学 2014-04-11 Zhen Wang , Attila Szolnoki , Matjaz Perc

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

物理与社会 · 物理学 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

The emergence and prevalence of cooperative behavior within a group of selfish individuals remains a puzzle for \text{evolutionary game theory} precisely because it conflicts directly with the central idea of natural selection. Accordingly,…

物理与社会 · 物理学 2019-08-29 Paulo Victor Santos Souza , Rafael Silva , Chris T. Bauch , Daniel Girardi

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…

物理与社会 · 物理学 2020-06-25 Marco A. Amaral , Marco A. Javarone

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

物理与社会 · 物理学 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda