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In the framework of the paradigmatic prisoner's dilemma, we investigate the evolutionary dynamics of social dilemmas in the presence of "cooperation facilitators". In our model, cooperators and defectors interact as in the classical…

Populations and Evolution · Quantitative Biology 2012-08-02 Mauro Mobilia

While quite a few recent papers have explored game-resource feedback using the framework of evolutionary game theory, almost all the studies are confined to using time-continuous dynamical equations. Moreover, in such literature, the effect…

Populations and Evolution · Quantitative Biology 2024-01-24 Samrat Sohel Mondal , Avishuman Ray , Sagar Chakraborty

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

Nuclear Theory · Physics 2009-10-28 Zhen Cao , Rudolph C. Hwa

Punishment and partner switching are two well-studied mechanisms that support the evolution of cooperation. Observation of human behaviour suggests that the extent to which punishment is adopted depends on the usage of alternative…

Physics and Society · Physics 2018-04-26 Hirofumi Takesue

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

Cooperation is a difficult proposition in the face of Darwinian selection. Those that defect have an evolutionary advantage over cooperators who should therefore die out. However, spatial structure enables cooperators to survive through the…

Physics and Society · Physics 2018-02-02 Attila Szolnoki , Matjaz Perc

Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feedback between behaviors and environments, can promote…

Physics and Society · Physics 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki

In society, mutual cooperation, defection, and asymmetric exploitative relationships are common. Whereas cooperation and defection are studied extensively in the literature on game theory, asymmetric exploitative relationships between…

Optimization and Control · Mathematics 2019-11-13 Yuma Fujimoto , Kunihiko Kaneko

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

In many social dilemmas, individuals tend to generate a situation with low payoffs instead of a system optimum ("tragedy of the commons"). Is the routing of traffic a similar problem? In order to address this question, we present…

Physics and Society · Physics 2007-05-23 Dirk Helbing , Martin Schonhof , Hans-Ulrich Stark , Janusz A. Holyst

Many mathematical frameworks of evolutionary game dynamics assume that the total population size is constant and that selection affects only the relative frequency of strategies. Here, we consider evolutionary game dynamics in an extended…

Populations and Evolution · Quantitative Biology 2018-02-16 Alex McAvoy , Nicolas Fraiman , Christoph Hauert , John Wakeley , Martin A. Nowak

We study the evolutionary dynamics of the prisoner's dilemma game in which cooperators and defectors interact with another actor type called exiters. Rather than being exploited by defectors, exiters exit the game in favour of a small…

Populations and Evolution · Quantitative Biology 2021-01-20 Chen Shen , Marko Jusup , Lei Shi , Zhen Wang , Matjaz Perc , Petter Holme

A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow only two strategies: to cooperate (C) or to defect (D) unconditionally. The players updated in a random sequence have a…

Statistical Mechanics · Physics 2009-10-30 Gyorgy Szabo , Csaba Toke

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

Populations and Evolution · Quantitative Biology 2011-03-29 M. I. Shehata

In multi-agent environments in which coordination is desirable, the history of play often causes lock-in at sub-optimal outcomes. Notoriously, technologies with a significant environmental footprint or high social cost persist despite the…

Computer Science and Game Theory · Computer Science 2020-07-28 Stefanos Leonardos , Iosif Sakos , Costas Courcoubetis , Georgios Piliouras

Exploration of mechanisms underlying the emergence of collective cooperation remains a focal point in field of evolution of cooperation. Prevailing studies often neglect historical information, relying on the latest rewards as the primary…

Physics and Society · Physics 2024-02-07 Changyan Di , Jianyue Guan , Qingguo Zhou , Jingqiang Wang , Xiangyang Li

Adaptive populations such as those in financial markets and distributed control can be modeled by the Minority Game. We consider how their dynamics depends on the agents' initial preferences of strategies, when the agents use linear or…

Statistical Finance · Quantitative Finance 2009-11-13 H. M. Yang , Y. S. Ting , K. Y. Michael Wong

Governments and enterprises strongly rely on incentives to generate favorable outcomes from social and strategic interactions between individuals. The incentives are usually modeled by payoffs in evolutionary games, such as the prisoner's…

Physics and Society · Physics 2018-05-14 Kaj-Kolja Kleineberg , Dirk Helbing

Recent empirical studies suggest that heavy-tailed distributions of human activities are universal in real social dynamics [Muchnik, \emph{et al.}, Sci. Rep. \textbf{3}, 1783 (2013)]. On the other hand, community structure is ubiquitous in…

Physics and Society · Physics 2015-01-14 Zhi-Xi Wu , Zhihai Rong , Han-Xin Yang

Evolutionary graph theory is a well established framework for modelling the evolution of social behaviours in structured populations. An emerging consensus in this field is that graphs that exhibit heterogeneity in the number of connections…

Populations and Evolution · Quantitative Biology 2018-11-20 Wes Maciejewski , Feng Fu , Christoph Hauert