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When group members claim a portion of limited resources, it is tempting to invest more effort to get a larger share. However, if everyone acts similarly, they all get the same piece they would obtain without extra effort. This is the…

Physics and Society · Physics 2022-06-15 Chaoqian Wang , Attila Szolnoki

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

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

Statistical Mechanics · Physics 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

We investigate the evolution of cooperation on a non - growth network model with death/birth dynamics. Nodes reproduce under selection for higher payoffs in a prisoners dilemma game played between network neighbours. The mean field…

Populations and Evolution · Quantitative Biology 2009-11-13 Vasils Hatzopoulos , Henrik Jeldtoft Jensen

Understanding cooperation in social dilemmas requires models that capture the complexity of real-world interactions. While network frameworks have provided valuable insights to model the evolution of cooperation, they are unable to encode…

Physics and Society · Physics 2025-07-15 Onkar Sadekar , Andrea Civilini , Vito Latora , Federico Battiston

Prosocial behaviors are encountered in the donation game, the prisoner's dilemma, relaxed social dilemmas, and public goods games. Many studies assume that the population structure is homogeneous, meaning all individuals have the same…

Populations and Evolution · Quantitative Biology 2020-05-28 Alex McAvoy , Benjamin Allen , Martin A. Nowak

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

Physics and Society · Physics 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

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

More often than not, bad decisions are bad regardless of where and when they are made. Information sharing might thus be utilized to mitigate them. Here we show that sharing the information about strategy choice between players residing on…

Physics and Society · Physics 2013-08-16 Attila Szolnoki , Matjaz Perc

The evolutionary dynamics of the Public Goods game addresses the emergence of cooperation within groups of individuals. However, the Public Goods game on large populations of interconnected individuals has been usually modeled without any…

Physics and Society · Physics 2015-05-20 J. Gómez-Gardeñes , M. Romance , R. Criado , D. Vilone , A. Sánchez

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

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

Populations and Evolution · Quantitative Biology 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff…

Populations and Evolution · Quantitative Biology 2018-04-18 Genki Ichinose , Yoshiki Satotani , Takashi Nagatani

Using methods from evolutionary game theory, this paper investigates the difference between social cohesion and task cohesion in promoting the evolution of cooperation in group interactions. Players engage in public goods games and are…

Physics and Society · Physics 2021-01-19 Xinglong Qu , Shun Kurokawa , The Anh Han

Recent experimental results with humans involved in social dilemma games suggest that cooperation may be a contagious phenomenon and that the selection pressure operating on evolutionary dynamics (i.e., mimicry) is relatively weak. I…

Physics and Society · Physics 2012-10-02 Naoki Masuda

Social, biological and economic networks grow and decline with occasional fragmentation and re-formation, often explained in terms of external perturbations. We show that these phenomena can be a direct consequence of simple imitation and…

Populations and Evolution · Quantitative Biology 2011-09-28 Matteo Cavaliere , Sean Sedwards , Corina E. Tarnita , Martin A. Nowak , Attila Csikász-Nagy

Using a new dynamical network model of society in which pairwise interactions are weighted according to mutual satisfaction, we show that cooperation is the norm in the Hawks-Doves game when individuals are allowed to break ties with…

Physics and Society · Physics 2010-11-24 Marco Tomassini , Enea Pestelacci , Leslie Luthi

In structured populations the spatial arrangement of cooperators and defectors on the interaction graph together with the structure of the graph itself determines the game dynamics and particularly whether or not fixation of cooperation (or…

Populations and Evolution · Quantitative Biology 2018-06-07 Hendrik Richter

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

Physics and Society · Physics 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora