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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…

物理与社会 · 物理学 2024-04-24 Linjie Liu , Xiaojie Chen , Attila Szolnoki

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…

适应与自组织系统 · 物理学 2026-02-23 Yishen Jiang , Xin Wang , Wenqiang Zhu , Ming Wei , Longzhao Liu , Shaoting Tang , Hongwei Zheng

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…

物理与社会 · 物理学 2026-03-25 Yuji Zhang , Minyu Feng , Qin Li , Matjaz Perc , Attila Szolnoki

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…

物理与社会 · 物理学 2017-07-21 Avi M. Shapiro , Elgar Pichler

Rewards and penalties are common practical tools that can be used to promote cooperation in social institutions. The evolution of cooperation under reward and punishment incentives in joint enterprises has been formalized and investigated,…

物理与社会 · 物理学 2013-08-20 Tatsuya Sasaki

Over the past few decades, many works have studied the evolutionary dynamics of continuous games. However, previous works have primarily focused on two-player games with pairwise interactions. Indeed, group interactions rather than pairwise…

物理与社会 · 物理学 2025-04-10 Jing Luo , Duozi Lin , Xiaojie Chen , Attila Szolnoki

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.…

物理与社会 · 物理学 2025-04-25 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

Evolution of cooperation in the prisoner's dilemma and the public goods game is studied, where initially players belong to two independent structured populations. Simultaneously with the strategy evolution, players whose current utility…

种群与进化 · 定量生物学 2014-04-04 Zhen Wang , Attila Szolnoki , Matjaz Perc

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…

种群与进化 · 定量生物学 2021-05-20 Lulu Gong , Jian Gao , Ming Cao

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…

种群与进化 · 定量生物学 2017-09-14 Alexander G. Ginsberg , Feng Fu

In Evolutionary game theory the payoffs are typically fixed or shaped by external environmental variables. Here, we introduce an endogenous-feedback model in which the game played coevolves directly with the population state: the payoff…

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…

物理与社会 · 物理学 2018-02-23 Attila Szolnoki , Xiaojie Chen

The interdependence between an individual strategy decision and the resulting change of environmental state is often a subtle process. Feedback-evolving games have been a prevalent framework for studying such feedback in well-mixed…

种群与进化 · 定量生物学 2025-03-05 Qiushuang Wang , Xiaojie Chen , Attila Szolnoki

Understanding the emergence and stability of cooperation in public goods games is important due to its applications in fields such as biology, economics, and social science. However, a gap remains in comprehending how mutations, both…

动力系统 · 数学 2025-04-09 Nataliya A. Balabanova , Manh Hong Duong , The Anh Han

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…

适应与自组织系统 · 物理学 2026-03-26 Lichen Wang , Shijia Hua , Yuyuan Liu , Liang Zhang , Linjie Liu , Attila Szolnoki

We introduce a coevolutionary framework in which punishment intensity dynamically adapts to the fraction of cooperators in the population. Unlike static models, adaptive punishment reshapes the effective payoff landscape, driving…

物理与社会 · 物理学 2025-12-11 Xingfu Ke , Hao Yu , Xiao-Pu Han , Yi-Cheng Zhang , Fanyuan Meng

This paper proposes a mathematical model for the coevolution of actions and opinions for a population facing a social dilemma. In particular, we assume each person participates in a Public Goods Game (PGG), with their action being to…

动力系统 · 数学 2026-04-13 Ella C. Davidson , Lorenzo Zino , Ming Cao , Mengbin Ye

According to evolutionary game theory, cooperation in public goods games is eliminated by free-riders, yet in nature, cooperation is ubiquitous. Artificial models resolve this contradiction via the mechanism of network reciprocity. However,…

计算机科学与博弈论 · 计算机科学 2016-05-10 Steve Miller , Joshua Knowles

Properly coordinating cooperation is relevant for resolving public good problems such as clean energy and environmental protection. However, little is known about how individuals can coordinate themselves for a certain level of cooperation…

物理与社会 · 物理学 2016-04-26 Tatsuya Sasaki , Satoshi Uchida

The evolution of cooperation has been a perennial problem in evolutionary biology because cooperation can be undermined by selfish cheaters who gain an advantage in the short run, while compromising the long-term viability of the…

种群与进化 · 定量生物学 2015-06-10 Arend Hintze , Christoph Adami
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