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We use analytical techniques based on an expansion in the inverse system size to study the stochastic evolutionary dynamics of finite populations of players interacting in a repeated prisoner's dilemma game. We show that a mechanism of…

Populations and Evolution · Quantitative Biology 2012-04-20 Alex J. Bladon , Tobias Galla , Alan J. McKane

Using simulations between pairs of $\epsilon$-greedy q-learners with one-period memory, this article demonstrates that the potential function of the stochastic replicator dynamics (Foster and Young, 1990) allows it to predict the emergence…

Theoretical Economics · Economics 2023-02-23 Maximilian Schaefer

Previous studies suggest that punishment is a useful way to promote cooperation in the well-mixed public goods game, whereas it still lacks specific evidence that punishment maintains cooperation in spatial prisoner's dilemma game as well.…

Physics and Society · Physics 2011-03-08 Qing Jin , Zhen Wang , Zhen Wang , Yi-Ling Wang

Repeated interaction between individuals is the main mechanism for maintaining cooperation in social dilemma situations. Variants of tit-for-tat (repeating the previous action of the opponent) and the win-stay lose-shift strategy are known…

Populations and Evolution · Quantitative Biology 2011-11-08 Shoma Tanabe , 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

Cooperation and defection are social traits whose evolutionary origin is still unresolved. Recent behavioral experiments with humans suggested that strategy changes are driven mainly by the individuals' expectations and not by imitation.…

Physics and Society · Physics 2024-02-13 Miguel Aguilar-Janita , Nagi Khalil , Inmaculada Leyva , Irene Sendiña-Nadal

Recent experimental evidence [Gruji\'c et al., PLoS ONE 5, e13749 (2010)] on the spatial Prisoner's Dilemma suggests that players choosing to cooperate or not on the basis of their previous action and the actions of their neighbors coexist…

Populations and Evolution · Quantitative Biology 2015-02-18 Jelena Grujić , José A. Cuesta , Angel Sánchez

The prisoner's dilemma has long been considered the paradigm for studying the emergence of cooperation among selfish individuals. Because of its importance, it has been studied through computer experiments as well as in the laboratory and…

chao-dyn · Physics 2009-10-22 Bernardo A. Huberman , Natalie S. Glance

We consider a group of agents on a graph who repeatedly play the prisoner's dilemma game against their neighbors. The players adapt their actions to the past behavior of their opponents by applying the win-stay lose-shift strategy. On a…

Probability · Mathematics 2007-05-23 Elchanan Mossel , Sebastien Roch

Considering feedback of collective actions of cooperation on common resources has vital importance to reach sustainability. But such efforts may have not immediate consequence on the state of environment and it is unclear how they influence…

Physics and Society · Physics 2021-07-07 Fang Yan , Xiaojie Chen , Zhipeng Qiu , Attila Szolnoki

We investigate the win-lose relations between strategies of iterated prisoner's dilemma games by using a directed network concept to display the replicator dynamics results. In the giant strongly-connected component of the win/lose network,…

Physics and Society · Physics 2015-01-16 Young Jin Kim , Myungkyoon Roh , Seon-Young Jeong , Seung-Woo Son

Commitment is a well-established mechanism for fostering cooperation in human society and multi-agent systems. However, existing research has predominantly focused on the commitment that neglects the freedom of players to abstain from an…

Computer Science and Game Theory · Computer Science 2025-08-12 Zhao Song , The Anh Han

In a recent Letter [F.C. Santos and J. M. Pacheco Phys. Rev. Lett. \textbf{95}, 098104 (2005)], the scale-free networks are found to be advantageous for the emergence of cooperation. In the present work an evolutionary prisoner's dilemma…

Physics and Society · Physics 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Ying-Hai Wang

Synchronization, cooperation, and chaos are ubiquitous phenomena in nature. In a population composed of many distinct groups of individuals playing the prisoner's dilemma game, there exists a migration dilemma: No cooperator would migrate…

Populations and Evolution · Quantitative Biology 2021-02-22 Shubhadeep Sadhukhan , Rohitashwa Chattopadhyay , Sagar Chakraborty

Strategy changes are an essential part of evolutionary games. Here we introduce a simple rule that, depending on the value of a single parameter $w$, influences the selection of players that are considered as potential sources of the new…

Physics and Society · Physics 2010-08-16 Zhen Wang , Matjaz Perc

We consider a network of coupled agents playing the Prisoner's Dilemma game, in which players are allowed to pick a strategy in the interval [0,1], with 0 corresponding to defection, 1 to cooperation, and intermediate values representing…

Adaptation and Self-Organizing Systems · Physics 2015-05-28 Francesco Sorrentino , Nicholas Mecholsky

This paper presents research comparing the effects of different environments on the outcome of an extended Prisoner's Dilemma, in which agents have the option to abstain from playing the game. We consider three different pure strategies:…

Computer Science and Game Theory · Computer Science 2016-08-18 Marcos Cardinot , Maud Gibbons , Colm O'Riordan , Josephine Griffith

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 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

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
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