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A local agglomeration of cooperators can support the survival or spreading of cooperation, even when cooperation is predicted to die out according to the replicator equation, which is often used in evolutionary game theory to study the…

Physics and Society · Physics 2009-03-06 Dirk Helbing

Utilizing common resources is always a dilemma for community members. While cooperator players restrain themselves and consider the proper state of resources, defectors demand more than their supposed share for a higher payoff. To avoid the…

Physics and Society · Physics 2018-09-05 Xiaojie Chen , Attila Szolnoki

We integrate dual-process theories of human cognition with evolutionary game theory to study the evolution of automatic and controlled decision-making processes. We introduce a model where agents who make decisions using either automatic or…

Dynamical Systems · Mathematics 2015-07-07 Danielle F. P. Toupo , Steven H. Strogatz , Jonathan D. Cohen , David G. Rand

The replicator equation in evolutionary game theory describes the change in a population's behaviors over time given suitable incentives. It arises when individuals make decisions using a simple learning process - imitation. A recent…

Computer Science and Game Theory · Computer Science 2023-11-07 Keith Paarporn

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

Physics and Society · Physics 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

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

Introducing environmental feedback into evolutionary game theory has led to the development of eco-evolutionary games, which have gained popularity due to their ability to capture the intricate interplay between the environment and…

Biological Physics · Physics 2023-08-08 Changyan Di , Qingguo Zhou , Jun Shen , Jinqiang Wang , Rui Zhou , Tianyi Wang

To be the fittest is central to proliferation in evolutionary games. Individuals thus adopt the strategies of better performing players in the hope of successful reproduction. In structured populations the array of those that are eligible…

Physics and Society · Physics 2010-12-09 Matjaz Perc , Zhen Wang

Extortion strategies can dominate any opponent in an iterated prisoner's dilemma game. But if players are able to adopt the strategies performing better, extortion becomes widespread and evolutionary unstable. It may sometimes act as a…

Physics and Society · Physics 2014-02-17 Attila Szolnoki , 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

Cooperation often depends on individuals avoiding exploitation and interacting preferentially with other cooperators. We explore how context-dependent migration influences the evolution of cooperation in spatially structured populations.…

Populations and Evolution · Quantitative Biology 2025-09-03 Dhaker Kroumi

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

Indirect reciprocity maintains cooperation in stranger societies by mapping individual behaviors onto reputation signals via social norms. Existing theoretical frameworks assume static environments with constant resources and fixed payoff…

Physics and Society · Physics 2026-02-04 Yishen Jiang , Xin Wang , Ming Wei , Wenqiang Zhu , Longzhao Liu , Hongwei Zheng , Shaoting Tang

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

Oscillatory behaviors are ubiquitous in nature and the human society. However, most previous works fail to reproduce them in the two-strategy game-theoretical models. Here we show that oscillatory behaviors naturally emerge if incomplete…

Populations and Evolution · Quantitative Biology 2023-06-27 Jing Zhang , Zhao Li , Jiqiang Zhang , Lin Ma , Guozhong Zheng , Li Chen

We study co-evolutionary Prisoner's Dilemma games where each player can imitate both the strategy and imitation rule from a randomly chosen neighbor with a probability dependent on the payoff difference when the player's income is collected…

Physics and Society · Physics 2009-11-04 Gyorgy Szabo , Attila Szolnoki , Jeromos Vukov

We introduce and study an evolutionary complementarity game where in each round a player of population 1 is paired with a member of population 2. The game is symmetric, and each player tries to obtain an advantageous deal, but when one of…

Adaptation and Self-Organizing Systems · Physics 2015-06-26 Juergen Jost , Wei Li

We consider a version of large population games whose players compete for resources using strategies with adaptable preferences. The system efficiency is measured by the variance of the decisions. In the regime where the system can be…

Condensed Matter · Physics 2009-11-10 K. Y. Michael Wong , S. W. Lim , Peixun Luo

The emergence and maintenance of cooperation has attracted intensive scholarly interest and has been analysed within the framework of evolutionary game theory. The role of innovation, which introduces novel strategies into the population,…

Physics and Society · Physics 2019-07-30 Hirofumi Takesue

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

Dynamical Systems · Mathematics 2020-08-03 Pedro Dal Bó , Enrique R. Pujals
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