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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

The public goods game is a model of a society investing some assets and regaining a profit, although can also model biological populations. In the classic public goods game only two strategies compete: either cooperate or defect; a third…

Adaptation and Self-Organizing Systems · Physics 2022-06-08 Gaspar Alfaro , Miguel A. F. Sanjuan

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

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

Understanding the emergence and sustainability of cooperation is a fundamental problem in evolutionary biology and is frequently studied by the framework of evolutionary game theory. A very powerful mechanism to promote cooperation is…

Computer Science and Game Theory · Computer Science 2015-05-27 M. Brede

Leaving the joint enterprise when defection is unveiled is always a viable option to avoid being exploited. Although loner strategy helps the population not to be trapped into the tragedy of the commons state, it could offer only a modest…

Physics and Society · Physics 2015-10-28 Attila Szolnoki , Xiaojie Chen

Enforcing cooperation among substantial agents is one of the main objectives for multi-agent systems. However, due to the existence of inherent social dilemmas in many scenarios, the free-rider problem may arise during agents' long-run…

Computer Science and Game Theory · Computer Science 2018-11-16 Kai Li , Dong Hao

Rewarding cooperation is in many ways expected behaviour from social players. However, strategies that promote antisocial behaviour are also surprisingly common, not just in human societies, but also among eusocial insects and bacteria.…

Populations and Evolution · Quantitative Biology 2015-10-30 Attila Szolnoki , Matjaz Perc

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

According to the standard protocol of spatial public goods game, a cooperator player invests not only into his own game but also into the games organized by neighboring partners. In this work, we relax this assumption by allowing…

Physics and Society · Physics 2020-06-23 Attila Szolnoki , Xiaojie Chen

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

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

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

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,…

Physics and Society · Physics 2013-08-20 Tatsuya Sasaki

We consider the coupled dynamics of the adaption of network structure and the evolution of strategies played by individuals occupying the network vertices. We propose a computational model in which each agent plays a $n$-round Prisoner's…

Physics and Society · Physics 2007-11-05 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

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

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,…

Computer Science and Game Theory · Computer Science 2016-05-10 Steve Miller , Joshua Knowles

"Personal responsibility", one of the basic principles of modern law, requires one to be responsible for what he did. However, personal responsibility is far from the only norm ruling human interactions, especially in social and economic…

Physics and Society · Physics 2021-09-15 Guocheng Wang , Qi Su , Long Wang

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

In this manuscript we explore the onset of cooperative traits in the Public Goods game. This well-known game involves N-agent interactions and thus reproduces a large number of social scenarios in which cooperation appears to be essential.…

Physics and Society · Physics 2014-10-22 Carlos Gracia-Lazaro , Jesus Gomez-Gardenes , Luis Mario Floria , Yamir Moreno