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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

Cooperative behaviour has been extensively studied as a choice between cooperation and defection. However, the possibility to not participate is also frequently available. This type of problem can be studied through the optional public…

Populations and Evolution · Quantitative Biology 2021-10-06 Shirsendu Podder , Simone Righi , Francesca Pancotto

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

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

Bribe demands present a social conflict scenario where decisions have wide-ranging economic and ethical consequences. Nevertheless, such incidents occur daily in many countries across the globe. Harassment bribery constitute a significant…

Physics and Society · Physics 2018-04-26 Prateek Verma , Anjan K. Nandi , Supratim Sengupta

Taxation constitutes a fundamental component of modern national economic systems, exerting profound impacts on both societal functioning and governmental operations. In this paper, we employ an interdependent network approach to model the…

Physics and Society · Physics 2026-04-13 Qin Li , Ting Ling , Minyu Feng , Attila Szolnoki

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

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

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

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

In a social dilemma situation, where individual and collective interests are in conflict, it sounds a reasonable assumption that the presence of super or smart players, who simultaneously punish defection and reward cooperation without…

Physics and Society · Physics 2024-06-03 Hsuan-Wei Lee , Colin Cleveland , Attila Szolnoki

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

A generic property of biological, social and economical networks is their ability to evolve in time, creating and suppressing interactions. We approach this issue within the framework of an adaptive network of agents playing a Prisoner's…

Adaptation and Self-Organizing Systems · Physics 2014-10-20 Martin G. Zimmermann , Victor M. Eguiluz , Maxi San Miguel

Tolerance implies enduring trying circumstances with a fair and objective attitude. To determine whether evolutionary advantages might be stemming from diverse levels of tolerance in a population, we study a spatial public goods game, where…

Physics and Society · Physics 2016-08-04 Attila Szolnoki , Matjaz Perc

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

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

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

This paper characterizes how different incentive instruments shape cooperation in a repeated Prisoner`s Dilemma with a continuum of players. A simple tit-for-tat strategy competes against unconditional defection, and the long-run outcome is…

Theoretical Economics · Economics 2025-11-14 Alexander Kangas

In the traditional setup of public goods game all players are involved in every available groups and the mutual benefit is shared among competing cooperator and defector strategies. But in real life situations the group formation of players…

Physics and Society · Physics 2016-10-19 Attila Szolnoki , Xiaojie Chen

One of the most direct human mechanisms of promoting cooperation is rewarding it. We study the effect of sharing a reward among cooperators in the most stringent form of social dilemma, namely the Prisoner's Dilemma. Specifically, for a…

Populations and Evolution · Quantitative Biology 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez
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