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We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to…

Statistical Mechanics · Physics 2015-05-14 M. Ali Saif , Prashant M. Gade

Individual migration has been regarded as an important factor for the evolution of cooperation in mobile populations. Motivations of migration, however, can be largely divergent: one is highly frustrated by the vicinity of an exploiter or…

Physics and Society · Physics 2020-05-20 Zhilong Xiao , Xiaojie Chen , Attila Szolnoki

Deliberate deceptiveness intended to gain an advantage is commonplace in human and animal societies. In a social dilemma, an individual may only pretend to be a cooperator to elicit cooperation from others, while in reality he is a…

Physics and Society · Physics 2014-11-03 Attila Szolnoki , Matjaz Perc

Varying environmental conditions affect relations between interacting individuals in social dilemmas, thus affecting also the evolution of cooperation. Oftentimes these environmental variations are seasonal and can therefore be…

Physics and Society · Physics 2019-09-02 Attila Szolnoki , Matjaz Perc

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

Populations and Evolution · Quantitative Biology 2011-03-29 M. I. Shehata

Cooperation is commonly found in ecological and social systems even when it apparently seems that individuals can benefit from selfish behavior. We investigate how cooperation emerges with the spatial prisoner's dilemma played in a class of…

Physics and Society · Physics 2024-11-22 Naoki Masuda , Kazuyuki Aihara

Punishment is a common tactic to sustain cooperation and has been extensively studied for a long time. While most of previous game-theoretic work adopt the imitation learning where players imitate the strategies who are better off, the…

Populations and Evolution · Quantitative Biology 2024-12-20 Chenyang Zhao , Guozhong Zheng , Chun Zhang , Jiqiang Zhang , Li Chen

How cooperation evolves and particularly maintains at a large scale remains an open problem for improving humanity across domains ranging from climate change to pandemic response. To shed light on how behavioral norms can resolve the social…

Physics and Society · Physics 2024-01-25 Brian Mintz , Feng Fu

Reciprocity is firmly established as an important mechanism that promotes cooperation. An efficient information exchange is likewise important, especially on structured populations, where interactions between players are limited. Motivated…

Physics and Society · Physics 2014-04-07 Attila Szolnoki , Matjaz Perc , Mauro Mobilia

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

Societies consisting of cooperative individuals seem to require for their continuing success that defectors be policed. The precise connection between punishers and benefits, population structure, and division of labour, however, remains…

Populations and Evolution · Quantitative Biology 2015-12-11 Gereon A. Kaiping , Timothy J. Sluckin , Simon J. Cox

We study the evolution of cooperation in a finite population interacting according to a simple model of like-with-like assortment. Evolution proceeds as a Moran process, and payoffs from the underlying cooperator-defector game are…

Populations and Evolution · Quantitative Biology 2016-04-14 Daniel Cooney , Benjamin Allen , Carl Veller

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

Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for…

Physics and Society · Physics 2025-08-01 Alfonso de Miguel-Arribas , Chengbin Sun , Carlos Gracia-Lázaro , Yamir Moreno

We found that a network-organized metapopulation of cooperators, defectors and destructive agents playing the public goods game with mutations, can collectively reach global synchronization or chimera states. Global synchronization is…

Adaptation and Self-Organizing Systems · Physics 2016-12-09 Nikos E. Kouvaris , Ruben J. Requejo , Johanne Hizanidis , Albert Diaz-Guilera

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

Theoretical Economics · Economics 2020-06-30 Yuval Heller , Erik Mohlin

We study a spatial Prisoner's dilemma game with two types (A and B) of players located on a square lattice. Players following either cooperator or defector strategies play Prisoner's Dilemma games with their 24 nearest neighbors. The…

Physics and Society · Physics 2015-05-13 Michel Droz , Janusz Szwabiński , György Szabó

The emergence and promotion of cooperation are two of the main issues in evolutionary game theory, as cooperation is amenable to exploitation by defectors, which take advantage of cooperative individuals at no cost, dooming them to…

Physics and Society · Physics 2012-10-29 Rubén J. Requejo , Juan Camacho , José A. Cuesta , Alex Arenas

Heterogeneity has been studied as one of the most common explanations of the puzzle of cooperation in social dilemmas. A large number of papers have been published discussing the effects of increasing heterogeneity in structured populations…

Physics and Society · Physics 2017-11-13 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

Pro-social punishment is a key driver of harmonious and stable society. However, this institution is vulnerable to corruption since law-violators can avoid sanctioning by paying bribes to corrupt law-enforcers. Consequently, to understand…

Physics and Society · Physics 2019-10-29 Linjie Liu , Xiaojie Chen , Attila Szolnoki