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Promoting cooperation is an intellectual challenge in the social sciences, for which the iterated Prisoners' Dilemma (IPD) is a fundamental framework. The traditional view that there exists no simple ultimatum strategy whereby one player…

Physics and Society · Physics 2015-05-12 Bin Xu , Yanran Zhou , Jaimie W. Lien , Jie Zheng , Zhijian Wang

We study the evolution of cooperation in the collective-risk social dilemma game, where the risk is determined by a collective target that must be reached with individual contributions. All players initially receive endowments from the…

Populations and Evolution · Quantitative Biology 2014-06-20 Xiaojie Chen , Matjaz Perc

Spatial structure is one of the simplest and most studied ecological factors that affect the evolution of cooperation. It has been shown that spatial reciprocity promotes cooperation due to the formation of cooperative clusters, which…

Populations and Evolution · Quantitative Biology 2020-06-24 Elton Júnior. S , Marco A. Amaral , Lucas Wardil

Human decision behaviour is quite diverse. In many games humans on average do not achieve maximal payoff and the behaviour of individual players remains inhomogeneous even after playing many rounds. For instance, in repeated prisoner…

Physics and Society · Physics 2015-11-11 Martin Spanknebel , Klaus Pawelzik

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

In recent years, Win-Stay-Lose-Learn rule has attracted wide attention as an effective strategy updating rule, and voluntary participation is proposed by introducing a third strategy in Prisoner's dilemma game. Some researches show that…

Computer Science and Game Theory · Computer Science 2021-08-18 Zhenyu Shi , Wei Wei , Xiangnan Feng , Ruizhi Zhang , Zhiming Zheng

In a social dilemma situation, where individual and collective interests are in conflict, it sounds a reasonable assumption that the presence of super or smart players, who simultaneously punish defection and reward cooperation without…

Physics and Society · Physics 2024-06-03 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

Cooperators benefit others with paying costs. Evolution of cooperation crucially depends on the cost-benefit ratio of cooperation, denoted as $c$. In this work, we investigate the infinitely repeated prisoner's dilemma for various values of…

Populations and Evolution · Quantitative Biology 2017-12-19 Taekho You , Minji Kwon , Hang-Hyun Jo , Woo-Sung Jung , Seung Ki Baek

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

Oscillatory behaviors are ubiquitous in nature and the human society. However, most previous works fail to reproduce them in the two-strategy game-theoretical models. Here we show that oscillatory behaviors naturally emerge if incomplete…

Populations and Evolution · Quantitative Biology 2023-06-27 Jing Zhang , Zhao Li , Jiqiang Zhang , Lin Ma , Guozhong Zheng , Li Chen

We introduce an analytical model to study the evolution towards equilibrium in spatial games, with `memory-aware' agents, i.e., agents that accumulate their payoff over time. In particular, we focus our attention on the spatial Prisoner's…

Physics and Society · Physics 2016-03-23 Marco Alberto Javarone

We study environments in which agents are randomly matched to play a Prisoner's Dilemma, and each player observes a few of the partner's past actions against previous opponents. We depart from the existing related literature by allowing a…

Theoretical Economics · Economics 2020-06-30 Yuval Heller , Erik Mohlin

The conditions that can lead to the exploitative depletion of a shared resource, i.e, the tragedy of the commons, can be reformulated as a game of prisoner's dilemma: while preserving the common resource is in the best interest of the…

Populations and Evolution · Quantitative Biology 2012-12-18 Irina Kareva , Benjamin Morin , Georgy Karev

Understanding how cooperation can evolve in populations despite its cost to individual cooperators is an important challenge. Models of spatially structured populations with one individual per node of a graph have shown that cooperation,…

Populations and Evolution · Quantitative Biology 2024-12-30 Alix Moawad , Alia Abbara , Anne-Florence Bitbol

The Prisoner's Dilemma game has a long history stretching across the social, biological, and physical sciences. In 2012, Press and Dyson developed a method for analyzing the mapping of the 8-dimensional strategy profile onto the…

Physics and Society · Physics 2019-11-28 Robert D. Young

Social, biological and economic networks grow and decline with occasional fragmentation and re-formation, often explained in terms of external perturbations. We show that these phenomena can be a direct consequence of simple imitation and…

Populations and Evolution · Quantitative Biology 2011-09-28 Matteo Cavaliere , Sean Sedwards , Corina E. Tarnita , Martin A. Nowak , Attila Csikász-Nagy

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

We study the evolution of cooperation in spatial Prisoner's dilemma games with and without extortion by adopting aspiration-driven strategy updating rule. We focus explicitly on how the strategy updating manner (whether synchronous or…

Physics and Society · Physics 2014-12-10 Zhi-Xi Wu , Zhihai Rong

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

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