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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

Maintenance of cooperation was studied for a two-strategy evolutionary Prisoner's Dilemma game where the players are located on a one-dimensional chain and their payoff comes from games with the nearest and next-nearest neighbor…

物理与社会 · 物理学 2008-02-20 Jeromos Vukov , György Szabó , Attila Szolnoki

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

Evolutionary prisoner's dilemma games are studied with players located on square lattice and random regular graphs defining four neighbors for each one. The players follow one of the three strategies: tit-for-tat, unconditional cooperation,…

物理与社会 · 物理学 2009-11-13 Attila Szolnoki , Matjaz Perc , Gyorgy Szabo

In this paper we study the cooperative behavior of agents playing the Prisoner's Dilemma game in random scale-free networks. We show that the survival of cooperation is enhanced with respect to random homogeneous graphs but, on the other…

物理与社会 · 物理学 2015-05-13 J. Poncela , J. Gomez-Gardenes , Y. Moreno , L. M. Floria

Consider the scenario where an infinite number of players (i.e., the \textit{thermodynamic} limit) find themselves in a Prisoner's dilemma type situation, in a \textit{repeated} setting. Is it reasonable to anticipate that, in these…

统计力学 · 物理学 2024-07-23 Rajdeep Tah , Colin Benjamin

We studied spatial Prisoner's Dilemma and Stag Hunt games where both the strategy distribution and the players' individual noise level could evolve to reach higher individual payoff. Players are located on the sites of different…

物理与社会 · 物理学 2009-11-24 Attila Szolnoki , Jeromos Vukov , Gyorgy Szabo

We study the evolution of cooperation in populations where individuals play prisoner's dilemma on a network. Every node of the network corresponds on an individual choosing whether to cooperate or defect in a repeated game. The players…

社会与信息网络 · 计算机科学 2011-02-08 Vahideh H. Manshadi , Amin Saberi

We study an evolutionary version of the spatial prisoner's dilemma game, where the agents are placed in a random graph. For lattices with fixed connectivity, $\alpha$, we show that for low values of $\alpha$ the final density of cooperating…

统计力学 · 物理学 2007-05-23 O. Durán , R. Mulet

An evolutionary prisoner's dilemma (PD) game is studied with players located on a hierarchical structure of layered square lattices. The players can follow two strategies [D (defector) and C (cooperator)] and their income comes from PD…

统计力学 · 物理学 2009-11-10 Jeromos Vukov , Gyorgy Szabo

Game theory formalizes certain interactions between physical particles or between living beings in biology, sociology, and economics, and quantifies the outcomes by payoffs. The prisoner's dilemma (PD) describes situations in which it is…

物理与社会 · 物理学 2015-05-13 Dirk Helbing , Sergi Lozano

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.…

种群与进化 · 定量生物学 2007-05-23 Attila Szolnoki , Gyorgy Szabo

Evolutionary game theory offers a general framework to study how behaviors evolve by social learning in a population. This body of theory can accommodate a range of social dilemmas, or games, as well as real-world complexities such as…

物理与社会 · 物理学 2025-10-08 Guocheng Wang , Qi Su , Long Wang , Joshua B. Plotkin

We study a spatial two-strategy (cooperation and defection) Prisoner's Dilemma game with two types ($A$ and $B$) of players located on the sites of a square lattice. The evolution of strategy distribution is governed by iterated strategy…

物理与社会 · 物理学 2009-01-15 Gyorgy Szabo , Attila Szolnoki

We consider an iterated multiplayer prisoner's dilemma game on a square lattice and regular graphs based on the pairwise-Fermi update rule, and obtain heat-maps of the fraction of cooperators and the correlation of neighboring pairs. In the…

计算物理 · 物理学 2024-03-08 Yuki Sakamoto , Masahito Ueda

Spatial games are crucial for understanding patterns of cooperation in nature (and to some extent society). They are known to be more sensitive to local symmetries than e.g. spin models. This paper concerns the evolution of the prisoner's…

物理与社会 · 物理学 2009-09-15 Zhi-Xi Wu , Petter Holme

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

A simplified prisoner's game is studied on a square lattice when the players interacting with their neighbors can follow only two strategies: to cooperate (C) or to defect (D) unconditionally. The players updated in a random sequence have a…

统计力学 · 物理学 2009-10-30 Gyorgy Szabo , Csaba Toke

We present a detailed study of prisoner's dilemma game with stochastic modifications on a two-dimensional lattice, in presence of evolutionary dynamics. By very nature of the rules, the cooperators have incentive to cheat and the fear to…

统计力学 · 物理学 2015-05-14 M. Ali Saif , Prashant M. Gade

We study a modified prisoner's dilemma game taking place on two-dimensional disordered square lattices. The players are pure strategists and can either cooperate or defect with their immediate neighbors. In the generations each player…

物理与社会 · 物理学 2007-05-23 Zhi-Xi Wu , Xin-Jian Xu , Zi-Gang Huang , Sheng-Jun Wang , Ying-Hai Wang
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