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In the evolutionary Prisoner's Dilemma (PD) game, agents play with each other and update their strategies in every generation according to some microscopic dynamical rule. In its spatial version, agents do not play with every other but,…

种群与进化 · 定量生物学 2009-03-08 Luis G. Moyano , Angel Sánchez

Cooperative behavior lies at the very basis of human societies, yet its evolutionary origin remains a key unsolved puzzle. Whereas reciprocity or conditional cooperation is one of the most prominent mechanisms proposed to explain the…

物理与社会 · 物理学 2016-03-22 Giulio Cimini , Angel Sánchez

The conflict between individual and collective interests is in the heart of every social dilemmas established by evolutionary game theory. We cannot avoid these conflicts but sometimes we may choose which interaction framework to use as a…

物理与社会 · 物理学 2021-06-09 Attila Szolnoki , Xiaojie Chen

Stability of evolutionary dynamics of non-repeated Prisoner's Dilemma game with non-uniform interaction rates [1], via benefit and cost dilemma is studied . Moreover, the stability condition (b+c/b-c)2 < r1r3 is derived in case of…

种群与进化 · 定量生物学 2011-03-29 M. I. Shehata

The observed cooperation on the level of genes, cells, tissues, and individuals has been the object of intense study by evolutionary biologists, mainly because cooperation often flourishes in biological systems in apparent contradiction to…

种群与进化 · 定量生物学 2010-10-21 Dimitris Iliopoulos , Arend Hintze , Christoph Adami

The n-person Prisoner's Dilemma is a widely used model for populations where individuals interact in groups. The evolutionary stability of populations has been analysed in the literature for the case where mutations in the population may be…

种群与进化 · 定量生物学 2007-05-23 Anders Eriksson , Kristian Lindgren

Evolution of cooperation in the prisoner's dilemma game is studied where initially all players are linked via a regular graph, having four neighbors each. Simultaneously with the strategy evolution, players are allowed to make new…

物理与社会 · 物理学 2009-03-27 Attila Szolnoki , Matjaz Perc , Zsuzsa Danku

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…

种群与进化 · 定量生物学 2012-02-02 J. A. Cuesta , R. Jimenez , H. Lugo , A. Sanchez

We study the emergency of mutual cooperation in evolutionary prisoner's dilemma games when the players are located on a square lattice. The players can choose one of the three strategies: cooperation (C), defection (D) or "tit for tat" (T),…

统计力学 · 物理学 2015-06-24 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

The Prisoner's Dilemma (PD) deals with the cooperation/defection conflict between two agents. The agents are represented by a cell of $L \times L$ square lattice. The agents are initially randomly distributed according to a certain…

统计力学 · 物理学 2007-05-23 Ricardo Oliveira dos Santos Soares , Alexandre Souto Martinez

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…

物理与社会 · 物理学 2015-02-18 Carlos Gracia-Lazaro , Jose A. Cuesta , Angel Sanchez , Yamir Moreno

Dynamic environments shape diverse dynamics in evolutionary game systems. We introduce spatial heterogeneity of resources into the prisoner's dilemma game model to explore coevolutionary game dynamics with environmental feedback. The…

种群与进化 · 定量生物学 2025-02-17 Yi-Duo Chen , Jian-Yue Guan , Zhi-Xi Wu

A fundamental question of human society is the evolution of cooperation. Many previous studies explored this question via setting spatial background, where players obtain their payoffs by playing game with their nearest neighbors. Another…

物理与社会 · 物理学 2015-05-20 Zhen Wang , Wen-Bo Du , Xian-Bin Cao , Lian-Zhong Zhang

We study an evolutionary prisoner's dilemma game with two layered graphs, where the lower layer is the physical infrastructure on which the interactions are taking place and the upper layer represents the connections for the strategy…

物理与社会 · 物理学 2009-11-13 Zhi-Xi Wu , Ying-Hai Wang

We present a collaboration ring model -- a network of players playing the prisoner's dilemma game and collaborating among the nearest neighbours by forming coalitions. The microscopic stochastic updating of the players' strategies are…

物理与社会 · 物理学 2026-02-13 Joy Das Bairagya , Jonathan Newton , Sagar Chakraborty

The prisoner's dilemma (PD) game is a simple model for understanding cooperative patterns in complex systems consisting of selfish individuals. Here, we study a PD game problem in scale-free networks containing hierarchically organized…

物理与社会 · 物理学 2015-05-19 C. -K. Yun , N. Masuda , B. Kahng

Research has shown that the addition of abstention as an option transforms social dilemmas to rock-paper-scissor type games, where defectors dominate cooperators, cooperators dominate abstainers (loners), and abstainers (loners), in turn,…

计算机科学与博弈论 · 计算机科学 2018-12-12 Marcos Cardinot , Josephine Griffith , Colm O'Riordan , Matjaz Perc

The effects of payoffs and noise on the maintenance of cooperative behavior are studied in an evolutionary Prisoner's Dilemma game with players located on the sites of different two-dimensional lattices. This system exhibits a phase…

统计力学 · 物理学 2009-11-11 Gyorgy Szabo , Jeromos Vukov , Attila Szolnoki

This paper studies scenarios of cyclic dominance in a coevolutionary spatial model in which game strategies and links between agents adaptively evolve over time. The Optional Prisoner's Dilemma (OPD) game is employed. The OPD is an extended…

计算机科学与博弈论 · 计算机科学 2017-02-15 Marcos Cardinot , Josephine Griffith , Colm O'Riordan

The Prisoner's Dilemma has been a subject of extensive research due to its importance in understanding the ever-present tension between individual self-interest and social benefit. A strictly dominant strategy in a Prisoner's Dilemma…

计算机科学与博弈论 · 计算机科学 2016-05-17 John J. Nay , Yevgeniy Vorobeychik