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We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang

We study the evolution of cooperation in the evolutionary spatial prisoner's dilemma game (PDG) and snowdrift game (SG), within which a fraction $\alpha$ of the payoffs of each player gained from direct game interactions is shared equally…

Physics and Society · Physics 2014-01-13 Zhi-Xi Wu , Han-Xin Yang

In evolutionary game theory, repeated two-player games are used to study strategy evolution in a population under natural selection. As the evolution greatly depends on the interaction structure, there has been growing interests in studying…

Computer Science and Game Theory · Computer Science 2011-02-21 Colin Cooper , Martin Dyer , Velumailum Mohanaraj

We present a memory-based snowdrift game (MBSG) taking place on networks. We found that, when a lattice is taken to be the underlying structure, the transition of spatial patterns at some critical values of the payoff parameter is…

Physics and Society · Physics 2007-05-23 Wen-Xu Wang , Jie Ren , Guanrong Chen , Bing-Hong Wang

Punishment and partner switching are two well-studied mechanisms that support the evolution of cooperation. Observation of human behaviour suggests that the extent to which punishment is adopted depends on the usage of alternative…

Physics and Society · Physics 2018-04-26 Hirofumi Takesue

We investigate the evolutionary prisoner's dilemma game in structured populations by introducing dimers, which are defined as that two players in each dimer always hold a same strategy. We find that influences of dimers on cooperation…

Physics and Society · Physics 2015-05-30 Haihong Li , Hongyan Cheng , Qionglin Dai , Ping Ju , Mei Zhang , Junzhong Yang

Game theory research on the snowdrift game has showed that gradual evolution of the continuously varying level of cooperation in joint enterprises can demonstrate evolutionary merging as well as evolutionary branching. However, little is…

Physics and Society · Physics 2016-12-30 Tatsuya Sasaki

Understanding the conditions for maintaining cooperation in groups of unrelated individuals despite the presence of non-cooperative members is a major research topic in contemporary biological, sociological, and economic theory. The…

Populations and Evolution · Quantitative Biology 2024-04-09 José F. Fontanari , Mauro Santos

The effects of an unconditional move rule in the spatial Prisoner's Dilemma, Snowdrift and Stag Hunt games are studied. Spatial structure by itself is known to modify the outcome of many games when compared with a randomly mixed population,…

Populations and Evolution · Quantitative Biology 2009-02-25 Estrella A. Sicardi , Hugo Fort , Mendeli H. Vainstein , Jeferson J. Arenzon

This paper is concerned with the death-birth updating process. This model is an example of a spatial game in which players located on the~$d$-dimensional integer lattice are characterized by one of two possible strategies and update their…

Probability · Mathematics 2015-06-25 Stephen Evilsizor , Nicolas Lanchier

Exploring the possible consequences of spatial reciprocity on the evolution of cooperation is an intensively studied research avenue. Related works assumed a certain interaction graph of competing players and studied how particular…

Populations and Evolution · Quantitative Biology 2021-02-09 B. F. de Oliveira , A. Szolnoki

The success of imitation as an evolutionary driving force in spatial games has often been questioned, especially for social dilemmas such as the snowdrift game, where the most profitable may be the mixed phase sustaining both the…

Physics and Society · Physics 2011-10-17 Attila Szolnoki , Neng-Gang Xie , Chao Wang , Matjaz Perc

The replicator dynamics of players choosing either mixed or pure strategies are usually regarded as equivalent, as long as strategies are played with identical frequencies. In this paper we show that a population of pure strategists can be…

Populations and Evolution · Quantitative Biology 2007-12-18 Andre C. R. Martins , Renato Vicente

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

In spatial evolutionary games the fitness of each individual is traditionally determined by the payoffs it obtains upon playing the game with its neighbors. Since defection yields the highest individual benefits, the outlook for cooperators…

Populations and Evolution · Quantitative Biology 2011-04-04 Zhen Wang , Aleksandra Murks , Wen-Bo Du , Zhi-Hai Rong , Matjaz Perc

We study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that…

Physics and Society · Physics 2011-12-30 Chunyan Zhang , Jianlei Zhang , Guangming Xie , Long Wang , Matjaz Perc

The sampling of interaction partners depends on often implicit modelling assumptions, yet has marked effects on the dynamics in evolutionary games. One particularly important aspect is whether or not competitors also interact. Population…

Populations and Evolution · Quantitative Biology 2018-11-20 Christoph Hauert , Jacek Miȩkisz

We study the advantages of quantum strategies in evolutionary social dilemmas on evolving random networks. We focus our study on the two-player games: prisoner's dilemma, snowdrift and stag-hunt games. The obtained result show the benefits…

Physics and Society · Physics 2020-11-10 Łukasz Pawela

Research has shown that the addition of abstention as an option transforms social dilemmas to rock-paper-scissor type games, where defectors dominate cooperators, cooperators dominate abstainers (loners), and abstainers (loners), in turn,…

Computer Science and Game Theory · Computer Science 2018-12-12 Marcos Cardinot , Josephine Griffith , Colm O'Riordan , Matjaz Perc

In an iterated two-person game, for instance prisoner's dilemma or the snowdrift game, there exist strategies that force the payoffs of the opponents to be equal. These equalizer strategies form a subset of the more general zero-determinant…

Populations and Evolution · Quantitative Biology 2018-08-01 Assaf Engel , Alexander Feigel