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Indirect punishment traditionally sustains cooperation in social systems through reputation or norms, often by reducing defectors' payoffs indirectly. In this study, we redefine indirect punishment for structured populations as a spatially…

Physics and Society · Physics 2025-06-04 Yujia Wen , Zhixue He , Chen Shen , Jun Tanimoto

Indirect reciprocity promotes cooperation by allowing individuals to help others based on reputation rather than direct reciprocation. Because it relies on accurate reputation information, its effectiveness can be undermined by information…

Physics and Society · Physics 2026-05-04 Heejeong Kim , Yohsuke Murase

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

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

A large body of empirical evidence suggests that humans are willing to engage in costly punishment of defectors in public goods games. Based on such pieces of evidence, it is suggested that punishment serves an important role in promoting…

Physics and Society · Physics 2022-01-25 Mohammad Salahshour

Cooperation is crucial for the remarkable evolutionary success of the human species. Not surprisingly, some individuals are willing to bare additional costs in order to punish defectors. Current models assume that, once set, the fine and…

Physics and Society · Physics 2012-04-18 Matjaz Perc , Attila Szolnoki

The view that altruistic punishment plays an important role in supporting public cooperation among human beings and other species has been widely accepted by the public. However, the positive role of altruistic punishment in enhancing…

Dynamical Systems · Mathematics 2022-03-08 Linjie Liu , Xiaojie Chen

Indirect reciprocity is one of the major mechanisms of the evolution of cooperation. Because constant monitoring and accurate evaluation in moral assessments tend to be costly, indirect reciprocity can be exploited by cost evaders. A recent…

Populations and Evolution · Quantitative Biology 2016-07-07 Tatsuya Sasaki , Isamu Okada , Yutaka Nakai

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

The promise of punishment and reward in promoting public cooperation is debatable. While punishment is traditionally considered more successful than reward, the fact that the cost of punishment frequently fails to offset gains from enhanced…

Physics and Society · Physics 2010-11-30 Attila Szolnoki , Matjaz Perc

Indirect reciprocity is a major mechanism in the maintenance of cooperation among unrelated individuals. Indirect reciprocity leads to conditional cooperation according to social norms that discriminate the good (those who deserve to be…

Populations and Evolution · Quantitative Biology 2017-02-07 Tatsuya Sasaki , Isamu Okada , Yutaka Nakai

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

Deliberate deceptiveness intended to gain an advantage is commonplace in human and animal societies. In a social dilemma, an individual may only pretend to be a cooperator to elicit cooperation from others, while in reality he is a…

Physics and Society · Physics 2014-11-03 Attila Szolnoki , Matjaz Perc

The evolution and maintenance of cooperation fascinated researchers for several decades. Recently, theoretical models and experimental evidence show that costly punishment may facilitate cooperation in human societies, but may not be used…

Populations and Evolution · Quantitative Biology 2010-11-16 Xinsheng Liu , Wanlin Guo

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

Social exclusion has been regarded as one of the most effective measures to promote the evolution of cooperation. In real society, the way in which social exclusion works can be direct or indirect. However, thus far there is no related work…

Physics and Society · Physics 2022-08-30 Linjie Liu , Xiaojie Chen

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…

Physics and Society · Physics 2016-04-26 Tatsuya Sasaki , Satoshi Uchida

Inspired by the fact that people have diverse propensities to punish wrongdoers, we study a spatial public goods game with defectors and different types of punishing cooperators. During the game, cooperators punish defectors with…

Physics and Society · Physics 2015-08-14 Xiaojie Chen , Attila Szolnoki , Matjaz Perc

Cooperation can be supported by indirect reciprocity via reputation.Thanks to gossip, reputations are built and circulated and humans can identify defectors and ostracise them. However, the evolutionary stability of gossip is allegedly…

Physics and Society · Physics 2016-12-01 Francesca Giardini , Daniele Vilone

Economic studies have shown that there are two types of regulation schemes which can be considered as a vital part of today's global economy: self-regulation enforced by self-regulation organizations to govern industry practices, and…

Physics and Society · Physics 2019-11-20 Pengbi Cui , Zhi-Xi Wu , Tao Zhou , Xiaojie Chen
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