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Motion is a typical reaction among animals and humans trying to reach better conditions in a changing world. This aspect has been studied intensively in social dilemmas where competing players' individual and collective interests are in…

Physics and Society · Physics 2022-09-13 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

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

In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

Populations and Evolution · Quantitative Biology 2009-03-08 Luis G. Moyano , Angel Sánchez

We consider a two-dimensional model of three species in rock-paper-scissors competition and study the self-organisation of the population into fascinating spiraling patterns. Within our individual-based metapopulation formulation, the…

Populations and Evolution · Quantitative Biology 2016-09-13 Mauro Mobilia , Alastair M. Rucklidge , Bartosz Szczesny

Wealthy individuals may be less tempted to defect than those with comparatively low payoffs. To take this into consideration, we introduce coevolutionary success-driven multigames in structured populations. While the core game is always the…

Physics and Society · Physics 2014-10-17 Attila Szolnoki , Matjaz Perc

We investigate the effects of update rules on the dynamics of an evolutionary game-theoretic model - the N-player evolutionary trust game - consisting of three types of players: investors, trustworthy trustees, and untrustworthy trustees.…

Computer Science and Game Theory · Computer Science 2017-12-20 Manuel Chica , Raymond Chiong , Jose Ramasco , Hussein Abbass

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

Physics and Society · Physics 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

Matrix games like Prisoner's Dilemma have guided research on social dilemmas for decades. However, they necessarily treat the choice to cooperate or defect as an atomic action. In real-world social dilemmas these choices are temporally…

Multiagent Systems · Computer Science 2017-02-13 Joel Z. Leibo , Vinicius Zambaldi , Marc Lanctot , Janusz Marecki , Thore Graepel

This paper discusses the role of opportunistic punisher who may act selfishly to free-ride cooperators or not to be exploited by defectors. To consider opportunistic punisher, we make a change to the sequence of one-shot public good game;…

Populations and Evolution · Quantitative Biology 2010-08-10 Jun-Sok Huhh

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

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

We introduce a coevolutionary framework in which punishment intensity dynamically adapts to the fraction of cooperators in the population. Unlike static models, adaptive punishment reshapes the effective payoff landscape, driving…

Physics and Society · Physics 2025-12-11 Xingfu Ke , Hao Yu , Xiao-Pu Han , Yi-Cheng Zhang , Fanyuan Meng

Studies of cooperation have traditionally focused on discrete games such as the well-known prisoner's dilemma, in which players choose between two pure strategies: cooperation and defection. Increasingly, however, cooperation is being…

Populations and Evolution · Quantitative Biology 2010-10-27 Åke Brännström , Thilo Gross , Bernd Blasius , Ulf Dieckmann

The Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the…

Populations and Evolution · Quantitative Biology 2014-03-12 Margarita Ifti , Timothy Killingback , Michael Doebeli

We study the evolution of two mutually interacting games with both pairwise games as well as the public goods game on different topologies. On 2d square lattices, we reveal that the game-game interaction can promote the cooperation…

Physics and Society · Physics 2022-05-06 Rizhou Liang , Qinqin Wang , Jiqiang Zhang , Guozhong Zheng , Lin Ma , Li Chen

Individual cooperative strategy influences the surrounding dynamic population, which in turn affects cooperative strategy. To better model this phenomenon, we develop a Markov decision chain based game transitions model and examine the…

Physics and Society · Physics 2025-12-30 Chaoyang Luo , Yuji Zhang , Minyu Feng , Attila Szolnoki

The promise of punishment and reward in promoting public cooperation is debatable. While punishment is traditionally considered more successful than reward, the fact that the cost of punishment frequently fails to offset gains from enhanced…

Physics and Society · Physics 2010-11-30 Attila Szolnoki , Matjaz Perc

In this paper we address the cooperation problem in structured populations by considering the prisoner's dilemma game as metaphor of the social interactions between individuals with imitation capacity. We present a new strategy update rule…

Computer Science and Game Theory · Computer Science 2013-03-19 Ignacio Gomez Portillo

Cooperation is a very common, yet not fully-understood phenomenon in natural and human systems. The introduction of a network within the population is known to affect the outcome of cooperative dynamics, allowing for the survival of…

Physics and Society · Physics 2015-04-28 Joan T. Matamalas , Julia Poncela-Casasnovas , Sergio Gómez , Alex Arenas

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu