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Whether or not cooperation is favored over defection in evolutionary games can be assigned by structure coefficients for any arrangement of cooperators and defectors on any network modeled as a regular graph. We study how these structure…

Populations and Evolution · Quantitative Biology 2019-05-14 Hendrik Richter

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 universal prevalence of cooperation is puzzling, as defection typically yields higher payoffs than cooperation, motivating searches for hidden pathways to cooperation. Here we study a game-theoretic model on a lattice structured…

Physics and Society · Physics 2026-03-12 Hyun Gyu Lee , Hyeong-Chai Jeong , Deok-Sun Lee

Higher-order interactions are prevalent in real-world complex systems and exert unique influences on system evolution that cannot be captured by pairwise interactions. We incorporate game transitions into the higher-order prisoner's dilemma…

Adaptation and Self-Organizing Systems · Physics 2025-06-25 Yi-Duo Chen , Zhi-Xi Wu , Jian-Yue Guan

We explore the minimal conditions for sustainable cooperation on a spatially distributed population of memoryless, unconditional strategies (cooperators and defectors) in presence of unbiased, non contingent mobility in the context of the…

Populations and Evolution · Quantitative Biology 2007-05-23 Mendeli H. Vainstein , Ana Tereza Costa Silva , Jeferson J. Arenzon

We study the evolution of behavior under reinforcement learning in a Prisoner's Dilemma where agents interact in a regular network and can learn about whether they play one-shot or repeatedly by incurring a cost of deliberation. With…

Physics and Society · Physics 2024-03-28 Rossana Mastrandrea , Leonardo Boncinelli , Ennio Bilancini

Individuals might abstain from participating in an instance of an evolutionary game for various reasons, ranging from lack of interest to risk aversion. In order to understand the consequences of such diverse activity patterns on the…

Physics and Society · Physics 2015-03-10 Cheng-Yi Xia , Sandro Meloni , Matjaz Perc , Yamir Moreno

The complete cooperation and the complete defection are two typical strategies considered in evolutionary games in many previous works. However, in real life, strategies of individuals are full of variety rather than only two complete ones.…

Physics and Society · Physics 2025-01-03 Linya Huang , Wenchen Han

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

Nuclear Theory · Physics 2009-10-28 Zhen Cao , Rudolph C. Hwa

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

Limitation of resources has been recently introduced as a mechanism for the survival and coexistence of cooperators with defectors in well-mixed populations. Here we examine the same model on a scale-free network. A prisoner's dilemma game…

Populations and Evolution · Quantitative Biology 2016-01-26 Sara Sadat Veradi Isfahani , Farhad Fazileh

We consider two-player iterated survival games in which players may switch from a more cooperative behavior to a less cooperative one at some step of the game. Payoffs are survival probabilities and lone individuals have to finish the game…

Populations and Evolution · Quantitative Biology 2021-02-18 Olivier Salagnac , John Wakeley

We study the cooperation problem in the framework of evolutionary game theory using the prisoner's dilemma as metaphor of the problem. Considering the growing process of the system and individuals with imitation capacity, we show conditions…

Computer Science and Game Theory · Computer Science 2015-06-11 Ignacio Gomez Portillo

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

Ecology and evolution are inherently linked, and studying a mathematical model that considers both holds promise of insightful discoveries related to the dynamics of cooperation. In the present article, we use the prisoner's dilemma (PD)…

Populations and Evolution · Quantitative Biology 2021-08-10 Sayantan Nag Chowdhury , Srilena Kundu , Jeet Banerjee , Matjaž Perc , Dibakar Ghosh

We investigate an evolutionary prisoner's dilemma game among self-driven agents, where collective motion of biological flocks is imitated through averaging directions of neighbors. Depending on the temptation to defect and the velocity at…

Physics and Society · Physics 2015-03-13 Zhuo Chen , Jian-Xi Gao , Yun-Ze Cai , Xiao-Ming Xu

Direct reciprocity is a powerful mechanism for evolution of cooperation based on repeated interactions between the same individuals. But high levels of cooperation evolve only if the benefit-to-cost ratio exceeds a certain threshold that…

Populations and Evolution · Quantitative Biology 2023-05-31 Josef Tkadlec , Christian Hilbe , Martin A. Nowak

Most papers about the evolutionary game on graph assume the statistic network structure. However, social interaction could change the relationship of people. And the changing social structure will affect the people's strategy too. We build…

Physics and Society · Physics 2009-09-30 Shao-Meng Qin , Guo-Yong Zhang , Yong Chen

Without contributing, defectors take more benefit from social resources than cooperators which is the reflection of a specific character of individuals. However, natural physical mechanisms of our society promote cooperation. Thus, in the…

Populations and Evolution · Quantitative Biology 2021-09-16 Bijan Sarkar

Traditionally, resource limitation in evolutionary game theory is assumed just to impose a constant population size. Here we show that resource limitations may generate dynamical payoffs able to alter an original prisoner's dilemma, and to…

Populations and Evolution · Quantitative Biology 2012-10-26 Rubén J. Requejo , Juan Camacho