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Microbes providing public goods are widespread in nature despite running the risk of being exploited by free-riders. However, the precise ecological factors supporting cooperation are still puzzling. Following recent experiments, we…

Populations and Evolution · Quantitative Biology 2012-03-28 Jonas Cremer , Anna Melbinger , Erwin Frey

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

According to the standard protocol of spatial public goods game, a cooperator player invests not only into his own game but also into the games organized by neighboring partners. In this work, we relax this assumption by allowing…

Physics and Society · Physics 2020-06-23 Attila Szolnoki , Xiaojie Chen

Cooperation is central to the organization of complex biological and social systems. Most theoretical models assume homogeneous environments; in reality, populations inhabit spatially varying landscapes in which the payoffs of cooperation…

Populations and Evolution · Quantitative Biology 2026-04-15 Amir Kargaran , Kamran Kaveh , Krishnendu Chatterjee

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

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

Disordered Systems and Neural Networks · Physics 2009-11-07 Gyorgy Szabo , Christoph Hauert

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

Populations and Evolution · Quantitative Biology 2007-05-23 Attila Szolnoki , Gyorgy Szabo

We study the stochastic dynamics of evolutionary games, and focus on the so-called `stochastic slowdown' effect, previously observed in (Altrock et. al, 2010) for simple evolutionary dynamics. Slowdown here refers to the fact that a…

Populations and Evolution · Quantitative Biology 2012-07-30 Philipp M. Altrock , Arne Traulsen , Tobias Galla

In numerous contexts, individuals may decide whether they take actions to mitigate the spread of disease, or not. Mitigating the spread of disease requires an individual to change their routine behaviours to benefit others, resulting in a…

Physics and Society · Physics 2020-08-11 Julie Rowlett , Carl-Joar Karlsson

Cooperation is the foundation of ecosystems and the human society, and the reinforcement learning provides crucial insight into the mechanism for its emergence. However, most previous work has mostly focused on the self-organization at the…

Physics and Society · Physics 2024-05-17 Zhen-Wei Ding , Guo-Zhong Zheng , Chao-Ran Cai , Wei-Ran Cai , Li Chen , Ji-Qiang Zhang , Xu-Ming Wang

Evolutionary game theory is one of the key paradigms behind many scientific disciplines from science to engineering. In complex networks, because of the difficulty of formulating the replicator dynamics, most of previous studies are…

Physics and Society · Physics 2014-05-06 Yichao Zhang , M. A. Aziz-Alaoui , Cyrille Bertelle , Shi Zhou , Wenting Wang

We study the evolutionary robustness of strategies in infinitely repeated prisoners' dilemma games in which players make mistakes with a small probability and are patient. The evolutionary process we consider is given by the replicator…

Dynamical Systems · Mathematics 2020-08-03 Pedro Dal Bó , Enrique R. Pujals

The paradox of cooperation among selfish individuals still puzzles scientific communities. Although a large amount of evidence has demonstrated that cooperator clusters in spatial games are effective to protect cooperators against the…

Physics and Society · Physics 2015-06-24 Han-Xin Yang , Zhihai Rong , Wen-Xu Wang

Recent studies on the evolutionary dynamics of the Prisoner's Dilemma game in scale-free networks have demonstrated that the heterogeneity of the network interconnections enhances the evolutionary success of cooperation. In this paper we…

Populations and Evolution · Quantitative Biology 2009-11-13 J. Poncela , J. Gomez-Gardenes , L. M. Floria , Y. Moreno

Cooperative behavior constitutes a key aspect of human society and non-human animal systems, but explaining how cooperation evolves represents a major scientific challenge. It is now well established that social network structure plays a…

Populations and Evolution · Quantitative Biology 2024-11-20 Josefine Bohr Brask , Jonatan Bohr Brask

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 study the evolution of cooperation in the spatial prisoner's dilemma game where players are allowed to establish new interactions with others. By employing a simple coevolutionary rule entailing only two crucial parameters, we find that…

Physics and Society · Physics 2011-12-30 Chunyan Zhang , Jianlei Zhang , Guangming Xie , Long Wang , Matjaz Perc

We consider the evolutionary dynamics of a cooperative game on an adaptive network, where the strategies of agents (cooperation or defection) feed back on their local interaction topology. While mutual cooperation is the social optimum,…

Physics and Society · Physics 2010-09-13 Gerd Zschaler , Arne Traulsen , Thilo Gross

Pro-social punishment is a key driver of harmonious and stable society. However, this institution is vulnerable to corruption since law-violators can avoid sanctioning by paying bribes to corrupt law-enforcers. Consequently, to understand…

Physics and Society · Physics 2019-10-29 Linjie Liu , Xiaojie Chen , Attila Szolnoki

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
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