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We study the evolution of cooperation in the spatial prisoner's dilemma game, where besides unconditional cooperation and defection, tit-for-tat, win-stay-lose-shift and extortion are the five competing strategies. While pairwise imitation…

Physics and Society · Physics 2014-07-02 Attila Szolnoki , Matjaz Perc

This study investigates the effect of behavioral mistakes on the evolutionary stability of the cooperative equilibrium in a repeated public goods game. Many studies show that behavioral mistakes have detrimental effects on cooperation…

Theoretical Economics · Economics 2021-07-01 Jung-Kyoo Choi , Jun Sok Huhh

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

Physics and Society · Physics 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

Evolutionary dynamics can be studied in well-mixed or structured populations. Population structure typically arises from the heterogeneous distribution of individuals in physical space or on social networks. Here we introduce a new type of…

Populations and Evolution · Quantitative Biology 2009-06-04 Tibor Antal , Hisashi Ohtsuki , John Wakeley , Peter D. Taylor , Martin A. Nowak

Interactions among living organisms, from bacteria colonies to human societies, are inherently more complex than interactions among particles and nonliving matter. Group interactions are a particularly important and widespread class,…

Physics and Society · Physics 2013-01-11 Matjaz Perc , Jesús Gómez-Gardeñes , Attila Szolnoki , Luis M. Floría , Yamir Moreno

Established already in the Biblical times, the Matthew effect stands for the fact that in societies rich tend to get richer and the potent even more powerful. Here we investigate a game theoretical model describing the evolution of…

Physics and Society · Physics 2011-12-14 Matjaz Perc

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

The spatial structure of populations may promote the emergence and maintenance of cooperation. Cooperation in the prisoner's dilemma is favored under specific update rules in evolutionary graph theory models with one individual per node of…

Populations and Evolution · Quantitative Biology 2026-01-29 Damien Ribière , Alia Abbara , Anne-Florence Bitbol

One of the best examples of traditional analysis of evolutionary stable strategies (ESS) is provided by the so called Dove-Hawk model. In this paper we present several enhancements to the model aimed at describing the evolution of…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pawel Sobkowicz

The evolution of cooperation often depends upon population structure, yet nearly all models of cooperation implicitly assume that this structure remains static. This is a simplifying assumption, because most organisms possess genetic traits…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Alexandra S. Penn , Richard A. Watson

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

Iterated games are a fundamental component of economic and evolutionary game theory. They describe situations where two players interact repeatedly and have the possibility to use conditional strategies that depend on the outcome of…

Populations and Evolution · Quantitative Biology 2015-06-12 Christian Hilbe , Martin A. Nowak , Karl Sigmund

Leaving the joint enterprise when defection is unveiled is always a viable option to avoid being exploited. Although loner strategy helps the population not to be trapped into the tragedy of the commons state, it could offer only a modest…

Physics and Society · Physics 2015-10-28 Attila Szolnoki , Xiaojie Chen

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

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

Population structure and spatial heterogeneity are integral components of evolutionary dynamics, in general, and of evolution of cooperation, in particular. Structure can promote the emergence of cooperation in some populations and suppress…

Populations and Evolution · Quantitative Biology 2017-10-10 Yu-Ting Chen , Alex McAvoy , Martin A. Nowak

Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. During the game, cooperators punish defectors with…

Physics and Society · Physics 2015-08-14 Xiaojie Chen , Attila Szolnoki , Matjaz Perc

Understanding the emergence and sustainability of cooperation is a fundamental problem in evolutionary biology and is frequently studied by the framework of evolutionary game theory. A very powerful mechanism to promote cooperation is…

Computer Science and Game Theory · Computer Science 2015-05-27 M. Brede

The positive impact of cooperative bots on cooperation within evolutionary game theory is well documented; however, existing studies have predominantly used discrete strategic frameworks, focusing on deterministic actions with a fixed…

Physics and Society · Physics 2024-06-24 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto

Evolutionary game theory, encompassing discrete, continuous, and mixed strategies, is pivotal for understanding cooperation dynamics. Discrete strategies involve deterministic actions with a fixed probability of one, whereas continuous…

Populations and Evolution · Quantitative Biology 2024-09-13 Zehua Si , Zhixue He , Chen Shen , Jun Tanimoto