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Social networks have a scale-free property and community structure, and many problems in life have the characteristic of public goods, such as resource shortage. Due to different preferences of individuals, there exist individuals who adopt…

Physics and Society · Physics 2022-11-23 Mingzhen Zhang , Naiding Yang , Xianglin Zhu

Cooperation is an important research object in economics, sociology, and biology, and the evolution of cooperation in structured populations is a interesting research topic. We mainly focus on the evolution of cooperation with two-order and…

Physics and Society · Physics 2024-10-14 Yihe Ma

The emergence of cooperation in the groups of interacting agents is one of the most fascinating phenomena observed in many complex systems studied in social science and ecology, even in the situations where one would expect the agent to use…

Physics and Society · Physics 2026-05-12 Jarosław Adam Miszczak

The public goods game is a broadly used paradigm for studying the evolution of cooperation in structured populations. According to the basic assumption, the interaction graph determines the connections of a player where the focal actor…

Physics and Society · Physics 2024-04-24 Ju Han , Xiaojie Chen , Attila Szolnoki

In this Letter, we introduce an aspiration-induced reconnection mechanism into the spatial public goods game. A player will reconnect to a randomly chosen player if its payoff acquired from the group centered on the neighbor does not exceed…

Physics and Society · Physics 2012-07-20 Hai-Feng Zhang , Run-Ran Liu , Zhen Wang , Han-Xin Yang , Bing-Hong Wang

We study the evolution of public cooperation on two interdependent networks that are connected by means of a utility function, which determines to what extent payoffs in one network influence the success of players in the other network. We…

Physics and Society · Physics 2012-02-13 Zhen Wang , Attila Szolnoki , Matjaz Perc

Understanding the evolution of cooperation in multiplayer games is of vital significance for natural and social systems. An important challenge is that group interactions often leads to nonlinear synergistic effects. However, previous…

Physics and Society · Physics 2025-05-13 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Longzhao Liu , Jiaxin Hu , Zhiming Zheng , Shaoting Tang , Hongwei Zheng , Jin Dong

Evolutionary game theory has provided substantial contributions to explain the emergence of cooperation under unfavourable conditions in ecology, economics, and the social sciences. Recently, inspired by newly available empirical evidence…

Physics and Society · Physics 2026-04-09 Jaume Llabrés , Onkar Sadekar , Federico Malizia , Federico Battiston

How evolution favors cooperation is a fundamental issue in social and economic systems. In the business world, actively selecting a suitable project is usually helpful for a businessman to be in an advantageous position. By incorporating…

Physics and Society · Physics 2020-02-19 Li-Xin Zhong , Wen-Juan Xu , Rong-Da Chen , Yun-Xin He , Tian Qiu , Fei Ren , Yong-Dong Shi , Chen-Yang Zhong

In a community-structured population, public goods games (PGG) occur both within and between communities. Such type of PGG is referred as multilevel public goods games (MPGG). We propose a minimalist evolutionary model of the MPGG and…

Populations and Evolution · Quantitative Biology 2015-05-27 Jing Wang , Bin Wu , Daniel W. C. Ho , Long Wang

Cooperation underlies many aspects of the evolution of human and animal societies, where cooperators produce social goods to benefit others. Explaining the emergence of cooperation among selfish individuals has become a major research…

Physics and Society · Physics 2025-03-10 Yao Meng , Sean P. Cornelius , Yang-Yu Liu , Aming Li

The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable…

Physics and Society · Physics 2012-10-26 Xiaojie Chen , Yongkui Liu , Yonghui Zhou , Long Wang , Matjaz Perc

We study the evolution of two mutually interacting games with both pairwise games as well as the public goods game on different topologies. On 2d square lattices, we reveal that the game-game interaction can promote the cooperation…

Physics and Society · Physics 2022-05-06 Rizhou Liang , Qinqin Wang , Jiqiang Zhang , Guozhong Zheng , Lin Ma , Li Chen

Cooperation and competition coexist and coevolve in natural and social systems. Cooperation generates resources, which in turn, drive non-cooperative competition to secure individual shares. How this complex interplay between cooperation…

Physics and Society · Physics 2025-09-03 Wenqiang Zhu , Xin Wang , Chaoqian Wang , Weijie Xing , Longzhao Liu , Hongwei Zheng , Jingwu Zhao , Shaoting Tang

Facing a heavy task, any single person can only make a limited contribution and team cooperation is needed. As one enjoys the benefit of the public goods, the potential benefits of the project are not always maximized and may be partly…

Physics and Society · Physics 2017-06-28 Li-Xin Zhong , Wen-Juan Xu , Yun-Xin He , Chen-Yang Zhong , Rong-Da Chen , Tian Qiu , Yong-Dong Shi , Fei Ren

We study the evolution of cooperation under the assumption that the collective benefits of group membership can only be harvested if the fraction of cooperators within the group, i.e. their critical mass, exceeds a threshold value.…

Physics and Society · Physics 2010-05-05 Attila Szolnoki , Matjaz Perc

Productive societies feature high levels of cooperation and strong connections between individuals. Public Goods Games (PGGs) are frequently used to study the development of social connections and cooperative behavior in model societies. In…

Physics and Society · Physics 2017-07-21 Avi M. Shapiro , Elgar Pichler

Indirect reciprocity unveils how social cooperation is founded upon moral systems. Within the frame of dyadic games based on individual reputations, the "leading-eight" strategies distinguish themselves in promoting and sustaining…

Physics and Society · Physics 2024-10-22 Ming Wei , Xin Wang , Longzhao Liu , Hongwei Zheng , Yishen Jiang , Yajing Hao , Zhiming Zheng , Feng Fu , Shaoting Tang

This paper investigates the evolution of strategic play where players drawn from a finite well-mixed population are offered the opportunity to play in a public goods game. All players accept the offer. However, due to the possibility of…

Populations and Evolution · Quantitative Biology 2017-09-14 Alexander G. Ginsberg , Feng Fu

Various theoretical and empirical studies have accounted for why humans cooperate in competitive environments. Although prior work has revealed that network structure and multiplex interactions can promote cooperation, most theory assumes…

Physics and Society · Physics 2026-01-05 Jnanajyoti Bhaumik , Naoki Masuda