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Monitoring with implicated punishment is common in human societies to avert freeriding on common goods. But is it effective in promoting public cooperation? We show that the introduction of monitoring and implicated punishment is indeed…

Populations and Evolution · Quantitative Biology 2015-11-20 Xiaojie Chen , Tatsuya Sasaki , Matjaz Perc

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

The costly provision of public goods serves as a model problem for the evolution of cooperative behavior, presenting a social dilemma between the collective benefits of shared resources and the individual incentive to free-ride in resource…

Populations and Evolution · Quantitative Biology 2026-03-24 Yuxuan Zhao , Kaisheng Zhu , Yefei Zhang , Daniel B. Cooney

The evolution and long-term sustenance of cooperation has consistently piqued scholarly interest across the disciplines of evolutionary biology and social sciences. Previous theoretical and experimental studies on collective risk social…

Physics and Society · Physics 2023-08-23 Shijia Hua , Zitong Hui , Linjie Liu

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

We live and cooperate in networks. However, links in networks only allow for pairwise interactions, thus making the framework suitable for dyadic games, but not for games that are played in groups of more than two players. Here, we study…

Addressing both natural and societal challenges requires collective cooperation. Studies on collective-risk social dilemmas have shown that individual decisions are influenced by the perceived risk of collective failure. However, existing…

Adaptation and Self-Organizing Systems · Physics 2026-03-26 Lichen Wang , Shijia Hua , Yuyuan Liu , Liang Zhang , Linjie Liu , Attila Szolnoki

Synergies between evolutionary game theory and statistical physics have significantly improved our understanding of public cooperation in structured populations. Multiplex networks, in particular, provide the theoretical framework within…

Physics and Society · Physics 2017-07-13 Federico Battiston , Matjaz Perc , Vito Latora

Microbial ecosystems are remarkably diverse, stable, and often consist of a balanced mixture of core and peripheral species. Here we propose a conceptual model exhibiting all these emergent properties in quantitative agreement with real…

Populations and Evolution · Quantitative Biology 2018-04-18 Akshit Goyal , Sergei Maslov

This study investigates the effect of behavioral mistakes on the evolutionary stability of the cooperative equilibrium in a repeated public goods game. Many studies show that behavioral mistakes have detrimental effects on cooperation…

Theoretical Economics · Economics 2021-07-01 Jung-Kyoo Choi , Jun Sok Huhh

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 explore the emergence of cooperation in the framework of evolutionary game theory. First we introduce the cooperation problem in a novel way that we believe it have important consequences in how problem is addressed. Then we present a…

Computer Science and Game Theory · Computer Science 2012-08-09 Ignacio Gomez Portillo

Cooperation plays a fundamental role in societal and biological domains, and the population structure profoundly shapes the dynamics of evolution. Practically, individuals behave either altruistically or egoistically in multiple groups,…

Adaptation and Self-Organizing Systems · Physics 2024-04-05 Dini Wang , Peng Yi , Yiguang Hong , Jie Chen , Gang Yan

Cooperation is a widespread natural phenomenon yet current evolutionary thinking is dominated by the paradigm of selfish competition. Recent advanced in many fronts of Biology and Non-linear Physics are helping to bring cooperation to its…

Populations and Evolution · Quantitative Biology 2014-06-13 Octavio Miramontes , Og DeSouza

Prosocial behaviors are encountered in the donation game, the prisoner's dilemma, relaxed social dilemmas, and public goods games. Many studies assume that the population structure is homogeneous, meaning all individuals have the same…

Populations and Evolution · Quantitative Biology 2020-05-28 Alex McAvoy , Benjamin Allen , Martin A. Nowak

This paper aims at understanding the longtime behaviors of a reducible cooperative system with nonlocal diffusions and different free boundaries, describing the interactions of two mutually beneficial species. Compared with the irreducible…

Analysis of PDEs · Mathematics 2025-01-03 Lei Li , Mingxin Wang

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

Mixed microbial communities, usually composed of various bacterial and fungal species, are fundamental in a plethora of environments, from soil to human gut and skin. Their evolution is a paradigmatic example of intertwined dynamics, where…

Populations and Evolution · Quantitative Biology 2022-07-01 Andrea Roli , Stuart A. Kauffman

Microbes produce metabolic resources that are important for cell growth yet leak across membranes into the extracellular environment. Other microbes in the same environment can use these resources and adjust their own metabolic production…

Populations and Evolution · Quantitative Biology 2018-01-16 Yoav Kallus , John H. Miller , Eric Libby

In bio-social models, cooperative behaviour has evolved as an adaptive strategy, playing multi-functional roles. One of such roles in populations is to increase the success of survival and reproduction of individuals and their families or…

Dynamical Systems · Mathematics 2024-06-18 Sangeeta Saha , Swadesh Pal , Roderick Melnik