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Complex networks are a great tool for simulating the outcomes of different strategies used within the iterated prisoners' dilemma game. However, because the strategies themselves rely on the connection between nodes, then initial network…

Physics and Society · Physics 2022-08-30 Louis Zhao , Chen Ye Gan , Minglu Zhao

We discuss stochastic dynamics of populations of individuals playing games. Our models possess two evolutionarily stable strategies: an efficient one, where a population is in a state with the maximal payoff (fitness) and a risk-dominant…

Populations and Evolution · Quantitative Biology 2007-05-23 Jacek Miekisz

We show that strategy independent adaptations of random interaction networks can induce powerful mechanisms, ranging from the Red Queen to group selection, that promote cooperation in evolutionary social dilemmas. These two mechanisms…

Physics and Society · Physics 2009-10-13 Attila Szolnoki , Matjaz Perc

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert

We study stochastic evolution of optional games on simple graphs. There are two strategies, A and B, whose interaction is described by a general payoff matrix. In addition there are one or several possibilities to opt out from the game by…

Populations and Evolution · Quantitative Biology 2014-05-19 Hyeong-Chai Jeong , Seung-Yoon Oh , Benjamin Allen , Martin A. Nowak

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…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

In the realm of evolutionary game theory, standard frameworks typically presuppose that every player possesses comprehensive knowledge and unrestricted access to the entire strategy space. However, real-world human society inherently…

Computer Science and Game Theory · Computer Science 2025-09-30 Feipeng Zhang , Te Wu , Guofeng Zhang , Long Wang

We study the evolution of cooperation in structured populations within popular models of social dilemmas, whereby simple coevolutionary rules are introduced that may enhance players abilities to enforce their strategy on the opponent.…

Physics and Society · Physics 2009-02-16 Attila Szolnoki , Matjaz Perc

We study the coevolution of network structure and signaling behavior. We model agents who can preferentially associate with others in a dynamic network while they also learn to play a simple sender-receiver game. We have four major…

Social and Information Networks · Computer Science 2024-01-15 Zachary Fulker , Patrick Forber , Rory Smead , Christoph Riedl

Evolutionary game dynamics are often studied in the context of different population structures. Here we propose a new population structure that is inspired by simple multicellular life forms. In our model, cells reproduce but can stay…

Populations and Evolution · Quantitative Biology 2016-05-26 Kamran Kaveh , Carl Veller , Martin A. Nowak

Information sharing between individuals is crucial to improve performance in collective tasks. However, in a competitive world, individuals may be reluctant to share information with the others, and it is still unclear how the presence of…

Physics and Society · Physics 2026-05-04 Ye Wang , Andrea Civilini , Anzhi Sheng , Xiaojie Chen , Long Wang , Vito Latora

In human societies the probability of strategy adoption from a given person may be affected by the personal features. Now we investigate how an artificially imposed restricted ability to reproduce, overruling ones fitness, affects an…

Populations and Evolution · Quantitative Biology 2008-04-10 A. Szolnoki , M. Perc , G. Szabo

Complex network theory provides a unifying framework for the study of structured dynamic systems. The current literature emphasizes a widely reported phenomenon of intermittent interaction among network vertices. In this paper, we introduce…

Social and Information Networks · Computer Science 2025-02-17 Ziyan Zeng , Minyu Feng , Pengfei Liu , Jurgen Kurths

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

Physics and Society · Physics 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

Strategic diversity is often essential in games: in multi-player games, for example, evaluating a player against a diverse set of strategies will yield a more accurate estimate of its performance. Furthermore, in games with…

Artificial Intelligence · Computer Science 2021-10-11 Marta Garnelo , Wojciech Marian Czarnecki , Siqi Liu , Dhruva Tirumala , Junhyuk Oh , Gauthier Gidel , Hado van Hasselt , David Balduzzi

Prevalence of cooperation within groups of selfish individuals is puzzling in that it contradicts with the basic premise of natural selection. Favoring players with higher fitness, the latter is key for understanding the challenges faced by…

Physics and Society · Physics 2016-09-08 Matjaz Perc , Attila Szolnoki

Evolutionary games on networks traditionally involve the same game at each interaction. Here we depart from this assumption by considering mixed games, where the game played at each interaction is drawn uniformly at random from a set of two…

Physics and Society · Physics 2016-05-23 Marco A. Amaral , Lucas Wardil , Matjaz Perc , Jafferson K. L. da Silva

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…

Physics and Society · Physics 2019-02-20 Kevin E. Bassler , Erwin Frey , R. K. P. Zia

Understanding the role of network structure in the evolution of cooperation is a key research goal at the intersection between physics and biology. Recent studies have particularly focused on multiplex networks given that multiple social…

Physics and Society · Physics 2020-07-27 Hirofumi Takesue