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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

The maintenance of cooperation in the presence of spatial restrictions has been studied extensively. It is well-established that the underlying graph topology can significantly influence the outcome of games on graphs. Maintenance of…

Physics and Society · Physics 2021-10-27 Saptarshi Sinha , Deep Nath , Soumen Roy

We have studied an evolutionary prisoner's dilemma game with players located on two types of random regular graphs with a degree of 4. The analysis is focused on the effects of payoffs and noise (temperature) on the maintenance of…

Statistical Mechanics · Physics 2009-11-11 Jeromos Vukov , György Szabó , Attila Szolnoki

We have studied an evolutionary game with spatially arranged players who can choose one of the two strategies (named cooperation and defection for social dilemmas) when playing with their neighbors. In addition to the application of the…

Physics and Society · Physics 2013-01-03 Gyorgy Szabo , Attila Szolnoki , Lilla Czako

We study the evolution of cooperation in the prisoner's dilemma and the snowdrift game on scale-free networks that are subjected to intentional and random removal of vertices. We show that, irrespective of the game type, cooperation on…

Physics and Society · Physics 2009-08-27 Matjaz Perc

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

Motivated by the fact that the same social dilemma can be perceived differently by different players, we here study evolutionary multigames in structured populations. While the core game is the weak prisoner's dilemma, a fraction of the…

Physics and Society · Physics 2014-10-10 Zhen Wang , Attila Szolnoki , Matjaz Perc

The most common assumption in evolutionary game theory is that players should adopt a strategy that warrants the highest payoff. However, recent studies indicate that the spatial selection for cooperation is enhanced if an appropriate…

Physics and Society · Physics 2016-05-18 Attila Szolnoki , Matjaz Perc

Evolution of cooperation in the prisoner's dilemma and the public goods game is studied, where initially players belong to two independent structured populations. Simultaneously with the strategy evolution, players whose current utility…

Populations and Evolution · Quantitative Biology 2014-04-04 Zhen Wang , Attila Szolnoki , Matjaz Perc

Understanding the influence of an environment on the evolution of its resident population is a major challenge in evolutionary biology. Great progress has been made in homogeneous population structures while heterogeneous structures have…

Populations and Evolution · Quantitative Biology 2014-07-30 Wes Maciejewski , Gregory J. Puleo

Cooperative behaviors are deeply embedded in structured biological and social systems. Networks are often employed to portray pairwise interactions among individuals, where network nodes represent individuals and links indicate who…

Physics and Society · Physics 2025-01-14 Jiachao Guo , Yao Meng , Aming Li

The sustainable management of common resources often leads to a social dilemma known as the tragedy of the commons: individuals benefit from rapid extraction of resources, while communities as a whole benefit from more sustainable…

Populations and Evolution · Quantitative Biology 2025-02-11 Tianyong Yao , Daniel B. Cooney

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

The emergence of collective cooperation in competitive environments is a well-known phenomenon in biology, economics, and social systems. While most evolutionary game models focus on the evolution of strategies for a fixed game, how…

Physics and Society · Physics 2024-08-01 Onkar Sadekar , Andrea Civilini , Jesús Gómez-Gardeñes , Vito Latora , Federico Battiston

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

An active participation of players in evolutionary games depends on several factors, ranging from personal stakes to the properties of the interaction network. Diverse activity patterns thus have to be taken into account when studying the…

Physics and Society · Physics 2017-01-25 Alberto Aleta , Sandro Meloni , Matjaz Perc , Yamir Moreno

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

The goal of this paper is to provide mathematically rigorous tools for modelling the evolution of a community of interacting individuals. We model the population by a measure space where the measure determines the abundance of individual…

Probability · Mathematics 2017-05-17 Thomas Cass , Terry Lyons

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

Cooperation underlies many aspects of the evolution of human and animal societies, where cooperators produce social goods to benefit others. Explaining the emergence of cooperation among selfish individuals has become a major research…

Physics and Society · Physics 2025-03-10 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li