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Mixed-motive scenarios are ubiquitous in real-world multi-agent interactions, where self-interested agents often defect for immediate rewards, overlooking the potential of altruistic cooperation to improve long-term gains and collective…

Multiagent Systems · Computer Science 2026-05-26 Min Tang , Fanqi Kong , Linyuan Lü , Xue Feng

Pro-social punishment is a key driver of harmonious and stable society. However, this institution is vulnerable to corruption since law-violators can avoid sanctioning by paying bribes to corrupt law-enforcers. Consequently, to understand…

Physics and Society · Physics 2019-10-29 Linjie Liu , Xiaojie Chen , Attila Szolnoki

We study the evolution of cooperation in spatial public goods games with four competing strategies: cooperators, defectors, punishing cooperators, and punishing defectors. To explore the robustness of the cooperation-promoting effect of…

Physics and Society · Physics 2010-05-26 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

Cooperation is fundamental to human societies, and indirect reciprocity, where individuals cooperate to build a positive reputation for future benefits, plays a key role in promoting it. Previous theoretical and experimental studies have…

Physics and Society · Physics 2025-01-20 Yohsuke Murase

The evolution of cooperation has been a perennial problem for evolutionary biology because cooperation is undermined by selfish cheaters (or "free riders") that profit from cooperators but do not invest any resources themselves. In a purely…

Populations and Evolution · Quantitative Biology 2010-12-17 Arend Hintze , Christoph Adami

Cooperation in evolutionary biology means paying a cost, c, to enjoy benefits, b. A defector is one who does not pay any cost but enjoys the benefits of cooperators. Human societies, especially, have evolved a strategy to discourage…

Populations and Evolution · Quantitative Biology 2020-09-02 Ivan Ezeigbo

Uniform punishment policies can sustain cooperation in social dilemmas but impose severe costs on enforcers, creating a second-order free-rider problem that undermines the very mechanism designed to prevent exploitation. We show that the…

Physics and Society · Physics 2025-07-16 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

We study the evolution of cooperation in spatial public goods games where, besides the classical strategies of cooperation (C) and defection (D), we consider punishing cooperators (PC) or punishing defectors (PD) as an additional strategy.…

Physics and Society · Physics 2010-08-04 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

Costly punishment has been suggested as a key mechanism for stabilizing cooperation in one-shot games. However, recent studies have revealed that the effectiveness of costly punishment can be diminished by second-order free riders (i.e.,…

Physics and Society · Physics 2024-03-19 Chen Shen , Zhixue He , Lei Shi , Zhen Wang , Jun Tanimoto

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…

Populations and Evolution · Quantitative Biology 2015-06-10 Arend Hintze , Christoph Adami

Providing commons in the risky world is crucial for human survival, however, suffers more from the "free-riding" problem. Here, we proposed a solution that limits the access of the resource to an agent and tested its efficiency with a novel…

Neurons and Cognition · Quantitative Biology 2024-12-19 Shen Zhang , Xueyi Shen , Ruida Zhu , Zilu Liang , Chao Liu

Utilizing common resources is always a dilemma for community members. While cooperator players restrain themselves and consider the proper state of resources, defectors demand more than their supposed share for a higher payoff. To avoid the…

Physics and Society · Physics 2018-09-05 Xiaojie Chen , Attila Szolnoki

Peer punishment of free-riders (defectors) is a key mechanism for promoting cooperation in society. However, it is highly unstable since some cooperators may contribute to a common project but refuse to punish defectors. Centralized…

Physics and Society · Physics 2014-04-03 Sherief Abdallah , Rasha Sayed , Iyad Rahwan , Brad LeVeck , Manuel Cebrian , Alex Rutherford , James Fowler

Punishment may deter antisocial behavior. Yet to punish is costly, and the costs often do not offset the gains that are due to elevated levels of cooperation. However, the effectiveness of punishment depends not only on how costly it is,…

Populations and Evolution · Quantitative Biology 2013-06-04 Luo-Luo Jiang , Matjaz Perc , Attila Szolnoki

Situations where individuals have to contribute to joint efforts or share scarce resources are ubiquitous. Yet, without proper mechanisms to ensure cooperation, the evolutionary pressure to maximize individual success tends to create a…

Physics and Society · Physics 2010-05-03 Dirk Helbing , Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

The basic social dilemma is frequently captured by a public goods game where participants decide simultaneously whether to support a common pool or not and after the enhanced contributions are distributed uniformly among all competitors.…

Physics and Society · Physics 2021-12-21 Attila Szolnoki , Xiaojie Chen

Altruistic punishment, where individuals incur personal costs to punish others who have harmed third parties, presents an evolutionary conundrum as it undermines individual fitness. Resolving this puzzle is crucial for understanding the…

Populations and Evolution · Quantitative Biology 2025-01-07 Chen Shen , Zhao Song , Lei Shi , Jun Tanimoto , Zhen Wang

It is a challenging task to reach global cooperation among self-interested agents, which often requires sophisticated design or usage of incentives. For example, we may apply supervisors or referees who are able to detect and punish…

Physics and Society · Physics 2024-12-20 Ting Ling , Zhang Li , Minyu Feng , Attila Szolnoki

Reputation and punishment are significant guidelines for regulating individual behavior in human society, and those with a good reputation are more likely to be imitated by others. In addition, society imposes varying degrees of punishment…

Social and Information Networks · Computer Science 2025-11-25 Gui Zhang , Yichao Yao , Ziyan Zeng , Minyu Feng , Manuel Chica

Identifying mechanisms able to sustain costly cooperation among self-interested agents is a central problem across social and biological sciences. One possible solution is peer punishment: when agents have an opportunity to sanction…

Physics and Society · Physics 2022-12-19 Mohammad Salahshour , Vincent Oberhauser , Matteo Smerlak