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Failures of cooperation cause many of society's gravest problems. It is well known that cooperation among many players faced with a social dilemma can be maintained thanks to the possibility of punishment, but achieving the initial state of…

Physics and Society · Physics 2015-06-05 Samuel Johnson

Migration is a fundamental trait in humans and animals. Recent studies investigated the effect of migration on the evolution of cooperation, showing that contingent migration favors cooperation in spatial structures. In those studies, only…

Populations and Evolution · Quantitative Biology 2013-11-05 Genki Ichinose , Masaya Saito , Hiroki Sayama , David Sloan Wilson

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

Physics and Society · Physics 2009-01-15 Gyorgy Szabo , Attila Szolnoki

Cooperation within asymmetric populations has garnered significant attention in evolutionary games. This paper explores cooperation evolution in populations with weak and strong players, using a game model where players choose between…

Adaptation and Self-Organizing Systems · Physics 2024-03-12 Hao Guo , Chen Shen , Rongcheng Zou , Pin Tao , Yuanchun Shi , Zhen Wang , Junliang Xing

Understanding the origins of volunteerism and free-riding is crucial in collective action situations where a sufficient number of cooperators is necessary to achieve shared benefits, such as in vaccination campaigns and social change…

Physics and Society · Physics 2023-03-06 Alina Glaubitz , Feng Fu

Cooperators benefit others with paying costs. Evolution of cooperation crucially depends on the cost-benefit ratio of cooperation, denoted as $c$. In this work, we investigate the infinitely repeated prisoner's dilemma for various values of…

Populations and Evolution · Quantitative Biology 2017-12-19 Taekho You , Minji Kwon , Hang-Hyun Jo , Woo-Sung Jung , Seung Ki Baek

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

Populations and Evolution · Quantitative Biology 2007-05-23 Attila Szolnoki , Gyorgy Szabo

In social dilemmas, individuals face a conflict between their own self-interest and the collective interest of the group. The provision of reward has been shown to be an effective means to drive cooperation in such situations. However,…

Physics and Society · Physics 2023-08-21 Shijia Hua , Linjie Liu

Long-term evolutionary processes can strongly influence common-pool resource conservation by generating new traits or behaviours that modify the feedback between population strategies and the resource state. Here we develop an…

Populations and Evolution · Quantitative Biology 2026-01-27 Prosanta Mandal , Suman Chakraborty , Vaibhav Madhok , Sagar Chakraborty

Learning from a partner who collects higher payoff is a frequently used working hypothesis in evolutionary game theory. One of the alternative dynamical rules is when the focal player prefers to follow the strategy choice of the majority in…

Physics and Society · Physics 2018-09-14 Attila Szolnoki , Xiaojie Chen

How evolution favors cooperation is a fundamental issue in social and economic systems. In the business world, actively selecting a suitable project is usually helpful for a businessman to be in an advantageous position. By incorporating…

Physics and Society · Physics 2020-02-19 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Yun-Xin He , Tian Qiu , Fei Ren , Yong-Dong Shi , Chen-Yang Zhong

Cooperation and defection may be considered as two extreme responses to a social dilemma. Yet the reality is much less clear-cut. Between the two extremes lies an interval of ambivalent choices, which may be captured theoretically by means…

Physics and Society · Physics 2012-07-02 Xiaojie Chen , Attila Szolnoki , Matjaz Perc , Long Wang

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

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

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

Social networks have a scale-free property and community structure, and many problems in life have the characteristic of public goods, such as resource shortage. Due to different preferences of individuals, there exist individuals who adopt…

Physics and Society · Physics 2022-11-23 Mingzhen Zhang , Naiding Yang , Xianglin Zhu

The diversity in wealth and social status is present not only among humans, but throughout the animal world. We account for this observation by generating random variables that determ ine the social diversity of players engaging in the…

Physics and Society · Physics 2008-03-29 Matjaz Perc , Attila Szolnoki

We considered a three-strategy game with the characteristics of the prisoner's dilemma and stag hunt games. This game was inspired by recent experimental studies that elucidated the role of individual solutions. People who adopt individual…

Populations and Evolution · Quantitative Biology 2025-02-11 Hirofumi Takesue

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