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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

How cooperation can evolve between players is an unsolved problem of biology. Here we use Hamiltonian dynamics of models of the Ising type to describe populations of cooperating and defecting players to show that the equilibrium fraction of…

Populations and Evolution · Quantitative Biology 2018-06-27 Christoph Adami , Arend Hintze

The environment has a strong influence on a population's evolutionary dynamics. Driven by both intrinsic and external factors, the environment is subject to continual change in nature. To capture an ever-changing environment, we consider a…

Populations and Evolution · Quantitative Biology 2022-02-18 Qi Su , Alex McAvoy , Long Wang , Martin A. Nowak

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

Condensed Matter · Physics 2009-11-10 H. Fort

Iterated games provide a framework to describe social interactions among groups of individuals. Recent work stimulated by the discovery of "zero-determinant" strategies has rapidly expanded our ability to analyze such interactions. This…

Populations and Evolution · Quantitative Biology 2022-10-12 Alexander J. Stewart , Todd L. Parsons , Joshua B. Plotkin

The Prisoner's Dilemma, a 2-person game in which the players can either cooperate or defect, is a common paradigm for studying the evolution of cooperation, when individuals exhibit variable degrees of cooperation. It is known that in the…

Populations and Evolution · Quantitative Biology 2014-03-12 Margarita Ifti , Timothy Killingback , Michael Doebeli

Cooperation often depends on individuals avoiding exploitation and interacting preferentially with other cooperators. We explore how context-dependent migration influences the evolution of cooperation in spatially structured populations.…

Populations and Evolution · Quantitative Biology 2025-09-03 Dhaker Kroumi

Punishment is an effective way to sustain cooperation among selfish individuals. In most of previous studies, objects of punishment are set to be defectors. In this paper, we propose a mechanism of punishment, in which individuals with the…

Physics and Society · Physics 2018-02-06 Han-Xin Yang , Xiaojie Chen

In this work, depreciated effect of the public goods is considered in the public goods games, which is realized by rescaling the multiplication factor r of each group as r' = r(nc/G)^beta (beat>= 0). It is assumed that each individual…

Physics and Society · Physics 2015-05-27 Dong-Mei Shi , Yong Zhuang , Bing-Hong Wang

People tend to have their social interactions with members of their own community. Such group-structured interactions can have a profound impact on the behaviors that evolve. Group structure affects the way people cooperate, and how they…

Populations and Evolution · Quantitative Biology 2022-11-09 Yohsuke Murase , Christian Hilbe , Seung Ki Baek

We study a coevolutionary public goods game on a dynamic hypergraph, where an individual's payoff directly determines the number of hyperedges it can join. In the proposed mechanism, nodes adjust their participation according to the group…

Physics and Society · Physics 2026-05-27 Yichao Yao , Yuji Zhang , Juan Wu , Minyu Feng , Attila Szolnoki

Addressing both natural and societal challenges requires collective cooperation. Studies on collective-risk social dilemmas have shown that individual decisions are influenced by the perceived risk of collective failure. However, existing…

Adaptation and Self-Organizing Systems · Physics 2026-03-26 Lichen Wang , Shijia Hua , Yuyuan Liu , Liang Zhang , Linjie Liu , Attila Szolnoki

Many mathematical frameworks of evolutionary game dynamics assume that the total population size is constant and that selection affects only the relative frequency of strategies. Here, we consider evolutionary game dynamics in an extended…

Populations and Evolution · Quantitative Biology 2018-02-16 Alex McAvoy , Nicolas Fraiman , Christoph Hauert , John Wakeley , Martin A. Nowak

We investigate the spatial Public Goods Game in the presence of fitness-driven and conformity-driven agents. This framework usually considers only the former type of agents, i.e., agents that tend to imitate the strategy of their fittest…

Physics and Society · Physics 2017-08-30 Marco Alberto Javarone , Alberto Antonioni , Francesco Caravelli

Experimental studies have shown the ubiquity of altruistic behavior in human societies. The social structure is a fundamental ingredient to understand the degree of altruism displayed by the members of a society, in contrast to…

Adaptation and Self-Organizing Systems · Physics 2009-05-27 Víctor M. Eguíluz , Claudio J. Tessone

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

In this paper, we consider a mean field model of social behavior where there are an infinite number of players, each of whom observes a type privately that represents her preference, and publicly observes a mean field state of types and…

General Economics · Economics 2023-03-07 Deepanshu Vasal

Evolutionary Prisoner's Dilemma games with quenched inhomogeneities in the spatial dynamical rules are considered. The players following one of the two pure strategies (cooperation or defection) are distributed on a two-dimensional lattice.…

Populations and Evolution · Quantitative Biology 2007-05-23 Attila Szolnoki , Gyorgy Szabo

Cooperation in one-shot anonymous interactions is a widely documented aspect of human behaviour. Here we shed light on the motivations behind this behaviour by experimentally exploring cooperation in a one-shot continuous-strategy…

Computer Science and Game Theory · Computer Science 2014-08-14 Valerio Capraro , Jillian J. Jordan , David G. Rand

Spatial public goods games model collective dilemmas where individual payoffs depend on population-level strategy configurations. Most existing studies rely on evolutionary update rules or value-based reinforcement learning methods. These…

Multiagent Systems · Computer Science 2025-12-23 Zhaoqilin Yang , Axin Xiang , Kedi Yang , Tianjun Liu , Youliang Tian