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Cooperation among unrelated individuals is frequently observed in social groups when their members combine efforts and resources to obtain a shared benefit that is unachievable by an individual alone. However, understanding why cooperation…

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

Dynamics of a social population is analyzed taking into account some physical constraints on individual behavior and decision making abilities. The model, based on Evolutionary Game Theory, predicts that a population has to pass through a…

Populations and Evolution · Quantitative Biology 2007-05-23 Alex Feigel

According to the standard imitation protocol, a less successful player adopts the strategy of the more successful one faithfully for future success. This is the cornerstone of evolutionary game theory that explores the vitality of competing…

Physics and Society · Physics 2019-09-27 Attila Szolnoki , Xiaojie Chen

Decades of scientific inquiry have sought to understand how evolution fosters cooperation, a concept seemingly at odds with the belief that evolution should produce rational, self-interested individuals. Most previous work has focused on…

Populations and Evolution · Quantitative Biology 2025-12-16 Mohammad Salahshour , Iain D. Couzin

The pursuit of highest payoffs in evolutionary social dilemmas is risky and sometimes inferior to conformity. Choosing the most common strategy within the interaction range is safer because it ensures that the payoff of an individual will…

Physics and Society · Physics 2014-12-23 Attila Szolnoki , Matjaz Perc

We investigate two paradigms for studying the evolution of cooperation--Prisoner's Dilemma and Snowdrift game in an online friendship network obtained from a social networking site. We demonstrate that such social network has small-world…

Physics and Society · Physics 2009-11-13 Feng Fu , Xiaojie Chen , Lianghuan Liu , Long Wang

Interactions among individuals in natural populations often occur in a dynamically changing environment. Understanding the role of environmental variation in population dynamics has long been a central topic in theoretical ecology and…

Populations and Evolution · Quantitative Biology 2021-05-18 Feng Huang , Ming Cao , Long Wang

"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

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

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 evolutionary dynamics of the prisoner's dilemma game in which cooperators and defectors interact with another actor type called exiters. Rather than being exploited by defectors, exiters exit the game in favour of a small…

Populations and Evolution · Quantitative Biology 2021-01-20 Chen Shen , Marko Jusup , Lei Shi , Zhen Wang , Matjaz Perc , Petter Holme

We study the evolution of cooperation in the spatial prisoner's dilemma game, where besides unconditional cooperation and defection, tit-for-tat, win-stay-lose-shift and extortion are the five competing strategies. While pairwise imitation…

Physics and Society · Physics 2014-07-02 Attila Szolnoki , Matjaz Perc

In this paper we address the cooperation problem in structured populations by considering the prisoner's dilemma game as metaphor of the social interactions between individuals with imitation capacity. We present a new strategy update rule…

Computer Science and Game Theory · Computer Science 2013-03-19 Ignacio Gomez Portillo

During the last few years, much research has been devoted to strategic interactions on complex networks. In this context, the Prisoner's Dilemma has become a paradigmatic model, and it has been established that imitative evolutionary…

Physics and Society · Physics 2015-02-18 Carlos Gracia-Lazaro , Jose A. Cuesta , Angel Sanchez , Yamir Moreno

Reputation plays a crucial role in social interactions by affecting the fitness of individuals during an evolutionary process. Previous works have extensively studied the result of imitation dynamics without focusing on potential irrational…

Physics and Society · Physics 2024-04-24 Kehuan Feng , Songlin Han , Minyu Feng , Attila Szolnoki

Cooperation is beneficial for the species as a whole, but, at the level of an individual, defection pays off. Natural selection is then expected to favor defectors and eliminate cooperation. This prediction is in stark contrast with the…

Populations and Evolution · Quantitative Biology 2013-04-30 Kirill S. Korolev

Societies consisting of cooperative individuals seem to require for their continuing success that defectors be policed. The precise connection between punishers and benefits, population structure, and division of labour, however, remains…

Populations and Evolution · Quantitative Biology 2015-12-11 Gereon A. Kaiping , Timothy J. Sluckin , Simon J. Cox

Cooperation underlies many natural and artificial systems. While voluntary participation can sustain cooperation without informational assumptions, real interactions are rarely anonymous, leaving the joint effects of participation and…

Physics and Society · Physics 2026-01-27 Chen Shen , Zhao Song , Xinyu Wang , Lei Shi , Matjaž Perc , Zhen Wang , Jun Tanimoto

The environment undergoes perpetual changes that are influenced by a combination of endogenous and exogenous factors. Consequently, it exerts a substantial influence on an individual's physical and psychological state, directly or…

Physics and Society · Physics 2025-12-11 Yuji Zhang , Minyu Feng , Jürgen Kurths , Attila Szolnoki