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Eco-evolutionary game dynamics which characterizes the mutual interactions and the coupled evolutions of strategies and environments has been of growing interests in very recent years. Since such feedback loops widely exist in a range of…

Physics and Society · Physics 2021-02-03 Xin Wang , Feng Fu

We study the evolutionary dynamics of games under environmental feedback using replicator equations for two interacting populations. One key feature is to consider jointly the co-evolution of the dynamic payoff matrices and the state of the…

Populations and Evolution · Quantitative Biology 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

Considering feedback of collective actions of cooperation on common resources has vital importance to reach sustainability. But such efforts may have not immediate consequence on the state of environment and it is unclear how they influence…

Physics and Society · Physics 2021-07-07 Fang Yan , Xiaojie Chen , Zhipeng Qiu , Attila Szolnoki

Feedback loops between population dynamics of individuals and their ecological environment are ubiquitously found in nature, and have shown profound effects on the resulting eco-evolutionary dynamics. Incorporating linear environmental…

Physics and Society · Physics 2020-07-01 Xin Wang , Zhiming Zheng , Feng Fu

The evolutionary mechanisms of cooperative behavior represent a fundamental topic in complex systems and evolutionary dynamics. Real-world collective interactions, particularly in multi-agent systems, are often characterized by…

Adaptation and Self-Organizing Systems · Physics 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

Models in evolutionary game theory traditionally assume symmetric interactions in homogeneous environments. Here, we consider populations evolving in a heterogeneous environment, which consists of patches of different qualities that are…

Populations and Evolution · Quantitative Biology 2018-12-11 Christoph Hauert , Camille Saade , Alex McAvoy

The emergence of collective cooperation in competitive environments is a well-known phenomenon in biology, economics, and social systems. While most evolutionary game models focus on the evolution of strategies for a fixed game, how…

Physics and Society · Physics 2024-08-01 Onkar Sadekar , Andrea Civilini , Jesús Gómez-Gardeñes , Vito Latora , Federico Battiston

Continuously changing environments have a paramount role in the evolution of cooperative behavior. Previous works have shown that the transitions among different games, as the feedback between behaviors and environments, can promote…

Physics and Society · Physics 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki

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…

Recent developments of eco-evolutionary models have shown that evolving feedbacks between behavioral strategies and the environment of game interactions, leading to changes in the underlying payoff matrix, can impact the underlying…

Physics and Society · Physics 2024-06-10 Katherine Betz , Feng Fu , Naoki Masuda

Environmental changes play a critical role in determining the evolution of social dilemmas in many natural or social systems. Generally, the environmental changes include two prominent aspects: the global time-dependent fluctuations and the…

Physics and Society · Physics 2022-12-14 Yishen Jiang , Xin Wang , Longzhao Liu , Ming Wei , Jingwu Zhao , Zhiming Zheng , Shaoting Tang

Dynamic environments shape diverse dynamics in evolutionary game systems. We introduce spatial heterogeneity of resources into the prisoner's dilemma game model to explore coevolutionary game dynamics with environmental feedback. The…

Populations and Evolution · Quantitative Biology 2025-02-17 Yi-Duo Chen , Jian-Yue Guan , Zhi-Xi Wu

Recent experimental results with humans involved in social dilemma games suggest that cooperation may be a contagious phenomenon and that the selection pressure operating on evolutionary dynamics (i.e., mimicry) is relatively weak. I…

Physics and Society · Physics 2012-10-02 Naoki Masuda

Feedbacks between strategies and the environment are common in social-ecological, evolutionary-ecological, and even psychological-economic systems. Utilizing common resources is always a dilemma for community members, like tragedy of the…

Dynamical Systems · Mathematics 2023-01-11 Longmei Shu , Feng Fu

Prevalence of cooperation within groups of selfish individuals is puzzling in that it contradicts with the basic premise of natural selection. Favoring players with higher fitness, the latter is key for understanding the challenges faced by…

Physics and Society · Physics 2016-09-08 Matjaz Perc , Attila Szolnoki

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

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

Human society and natural environment form a complex giant ecosystem, where human activities not only lead to the change of environmental states, but also react to them. By using collective-risk social dilemma game, some studies have…

Physics and Society · Physics 2024-04-24 Linjie Liu , Xiaojie Chen , Attila Szolnoki

Exploiting others is beneficial individually but it could also be detrimental globally. The reverse is also true: a higher cooperation level may change the environment in a way that is beneficial for all competitors. To explore the possible…

Physics and Society · Physics 2018-02-23 Attila Szolnoki , Xiaojie Chen

Introducing environmental feedback into evolutionary game theory has led to the development of eco-evolutionary games, which have gained popularity due to their ability to capture the intricate interplay between the environment and…

Biological Physics · Physics 2023-08-08 Changyan Di , Qingguo Zhou , Jun Shen , Jinqiang Wang , Rui Zhou , Tianyi Wang
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