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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

Understanding the emergence of cooperation in social networks has advanced through pairwise interactions, but the corresponding theory for group-based public goods games (PGGs) remains less explored. Here, we provide theoretical conditions…

Computer Science and Game Theory · Computer Science 2026-02-11 Chaoqian Wang , Qi Su

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

Previous research has highlighted the importance of strong heterogeneity for the successful evolution of cooperation in games governed by pairwise interactions. Here we determine to what extent this is true for games governed by group…

Physics and Society · Physics 2011-12-21 Matjaz Perc

Stabilizing cooperation among self-interested individuals presents a fundamental challenge in evolutionary theory and social science. While classical models predict the dominance of defection in social dilemmas, empirical and theoretical…

Physics and Society · Physics 2025-04-08 Pierre Bousseyroux , Gilles Zérah , Michael Benzaquen

We study the evolution of cooperation in public goods games on the square lattice, focusing on the effects that are brought about by different sizes of groups where individuals collect their payoffs and search for potential strategy donors.…

Physics and Society · Physics 2011-12-14 Attila Szolnoki , Matjaz Perc

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to understand how cooperation arises. The…

Physics and Society · Physics 2019-10-01 Norihito Toyota

Most previous works study the evolution of cooperation in a structured population by commonly employing an isolated single network. However, realistic systems are composed of many interdependent networks coupled with each other, rather than…

Physics and Society · Physics 2015-06-11 Baokui Wang , Xiaojie Chen , Long Wang

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

The evolution of cooperation among unrelated individuals in human and animal societies remains a challenging issue across disciplines. It is an important subject also in the evolutionary game theory to research how cooperation arises. The…

Physics and Society · Physics 2018-10-23 Norihito Toyota

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

Cooperation as a self-organized collective behavior plays a significant role in the evolution of ecosystems and human society. Reinforcement learning (RL) offers a new perspective, distinct from imitation learning in evolutionary games, for…

Physics and Society · Physics 2024-10-16 Bo-Ying Li , Zhen-Na Zhang , Guo-Zhong Zheng , Chao-Ran Cai , Ji-Qiang Zhang , Chen Li

Studying social dilemmas prompts the question of how cooperation can emerge in situations where individuals are expected to act selfishly. Here, in the framework of the one-shot Public Goods Game (PGG), we introduce the concept that…

Physics and Society · Physics 2024-02-09 Lucas S. Flores , The Anh Han

The evolutionary dynamics of the Public Goods game addresses the emergence of cooperation within groups of individuals. However, the Public Goods game on large populations of interconnected individuals has been usually modeled without any…

Physics and Society · Physics 2015-05-20 J. Gómez-Gardeñes , M. Romance , R. Criado , D. Vilone , A. Sánchez

We study the evolution of cooperation in public goods games on different regular graphs as a function of the noise level underlying strategy adoptions. We focus on the effects that are brought about by different group sizes of public goods…

Physics and Society · Physics 2009-11-19 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

Theoretical models suggest that social networks influence the evolution of cooperation, but to date there have been few experimental studies. Observational data suggest that a wide variety of behaviors may spread in human social networks,…

Physics and Society · Physics 2011-07-26 James H. Fowler , Nicholas A. Christakis

Most of previous studies concerning the Public Goods Game assume either participation is unconditional or the number of actual participants in a competitive group changes over time. How the fixed group size, prescribed by social…

Physics and Society · Physics 2015-05-13 Te Wu , Feng Fu , Long Wang

Cooperation arises in nature at every scale, from within cells to entire ecosystems. In the framework of evolutionary game theory, public goods games (PGGs) are used to analyse scenarios where individuals can cooperate or defect, and can…

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

In this manuscript we explore the onset of cooperative traits in the Public Goods game. This well-known game involves N-agent interactions and thus reproduces a large number of social scenarios in which cooperation appears to be essential.…

Physics and Society · Physics 2014-10-22 Carlos Gracia-Lazaro , Jesus Gomez-Gardenes , Luis Mario Floria , Yamir Moreno
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