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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

How cooperation emerges in human societies is still a puzzle. Evolutionary game theory has been the standard framework to address this issue. In most models, every individual plays with all others, and then reproduce and die according to…

Populations and Evolution · Quantitative Biology 2007-05-23 Carlos P. Roca , Jose A. Cuesta , Angel Sanchez

In a static environment, optional participation and a local agglomeration of cooperators are found to be beneficial for the occurrence and maintenance of cooperation. In the optional public goods game, the rock-scissors-paper cycles of…

Physics and Society · Physics 2015-06-05 Li-Xin Zhong , Wen-Juan Xu , Yong-Dong Shi , Tian Qiu

Existing studies have revealed a paradoxical phenomenon in public goods games, wherein destructive agents, harming both cooperators and defectors, can unexpectedly bolster cooperation. Building upon this intriguing premise, our paper…

Physics and Society · Physics 2024-10-28 Yuting Dong , Zhixue He , Chen Shen , Lei Shi , Jun Tanimoto

Evolutionary game dynamics is one of the most fruitful frameworks for studying evolution in different disciplines, from Biology to Economics. Within this context, the approach of choice for many researchers is the so-called replicator…

Populations and Evolution · Quantitative Biology 2009-11-14 Carlos P. Roca , José A. Cuesta , Angel Sánchez

We study the evolution of cooperation in spatial public goods games with four competing strategies: cooperators, defectors, punishing cooperators, and punishing defectors. To explore the robustness of the cooperation-promoting effect of…

Physics and Society · Physics 2010-05-26 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

In the optional prisoner's dilemma (OPD), players can choose to cooperate and defect as usual, but can also abstain as a third possible strategy. This strategy models the players' participation in the game and is a relevant aspect in many…

Computer Science and Game Theory · Computer Science 2021-06-15 Leonardo Stella , Dario Bauso

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

Collective cooperation drives the dynamics of many natural, social, and economic phenomena, making understanding the evolution of cooperation with evolutionary game theory a central question of modern science. Although human interactions…

Physics and Society · Physics 2024-04-12 Yao Meng , Alex McAvoy , Aming Li

In this paper we extend the investigation of cooperation in some classical evolutionary games on populations were the network of interactions among individuals is of the scale-free type. We show that the update rule, the payoff computation…

Physics and Society · Physics 2009-11-13 M. Tomassini , L. Luthi , E. Pestelacci

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Dynamics of evolutionary games strongly depend on underlying networks. We study the coevolutionary prisoner's dilemma in which players change their local networks as well as strategies (i.e., cooperate or defect). This topic has been…

Physics and Society · Physics 2011-01-25 Yoshimi Yoshino , Naoki Masuda

Understanding the origins of volunteerism and free-riding is crucial in collective action situations where a sufficient number of cooperators is necessary to achieve shared benefits, such as in vaccination campaigns and social change…

Physics and Society · Physics 2023-03-06 Alina Glaubitz , Feng Fu

Public goods game serves as a valuable paradigm for studying the challenges of collective cooperation in human and natural societies. Peer punishment is often considered as an effective incentive for promoting cooperation in such contexts.…

Physics and Society · Physics 2025-04-25 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

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

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

Physics and Society · Physics 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki

Direct reciprocity facilitates the evolution of cooperation when individuals interact repeatedly. Most previous studies on direct reciprocity implicitly assume compulsory interactions. Yet, interactions are often voluntary in human…

Physics and Society · Physics 2023-11-17 Fang Chen , Lei Zhou , Long Wang

In social dilemmas, individuals face a conflict between their own self-interest and the collective interest of the group. The provision of reward has been shown to be an effective means to drive cooperation in such situations. However,…

Physics and Society · Physics 2023-08-21 Shijia Hua , Linjie Liu

According to the fundamental principle of evolutionary game theory, the more successful strategy in a population should spread. Hence, during a strategy imitation process a player compares its payoff value to the payoff value held by a…

Physics and Society · Physics 2021-07-07 A. Szolnoki , M. Perc

Explaining the wide range of dynamics observed in ecological communities is challenging due to the large number of species involved, the complex network of interactions among them, and the influence of multiple environmental variables.…

Populations and Evolution · Quantitative Biology 2025-03-28 Francesco Ferraro , Christian Grilletta , Emanuele Pigani , Samir Suweis , Sandro Azaele , Amos Maritan
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