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We have studied an evolutionary prisoner's dilemma game with players located on two types of random regular graphs with a degree of 4. The analysis is focused on the effects of payoffs and noise (temperature) on the maintenance of…

统计力学 · 物理学 2009-11-11 Jeromos Vukov , György Szabó , 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

The evolution of cooperative behaviour is studied in the deterministic version of the Prisoners' Dilemma on a two-dimensional lattice. The payoff parameter is set at the critical region $1.8 < b < 2.0$ , where clusters of cooperators are…

核理论 · 物理学 2009-10-28 Zhen Cao , Rudolph C. Hwa

The emergence of mutual cooperation is studied in a spatially extended evolutionary prisoner's dilemma game in which the players are located on the sites of cubic lattices for dimensions d=1, 2, and 3. Each player can choose one of the…

统计力学 · 物理学 2009-10-31 Gyorgy Szabo , Tibor Antal , Peter Szabo , Michel Droz

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

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

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

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

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

The spatial Prisoner's Dilemma is a prototype model to show the emergence of cooperation in very competitive environments. It considers players, at site of lattices, that can either cooperate or defect when playing the Prisoner's Dilemma…

计算物理 · 物理学 2007-09-18 Marcelo Alves Pereira , Alexandre Souto Martinez , Aquino Lauri Espindola

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 investigate the spatial distribution and the global frequency of agents who can either cooperate or defect. The agent interaction is described by a deterministic, non-iterated prisoner's dilemma game, further each agent only locally…

统计力学 · 物理学 2007-05-23 Frank Schweitzer , Laxmidhar Behera , Heinz Muehlenbein

Competition among cooperators, defectors, and loners is studied in an evolutionary prisoner's dilemma game with optional participation. Loners are risk averse i.e. unwilling to participate and rather rely on small but fixed earnings. This…

无序系统与神经网络 · 物理学 2009-11-07 Gyorgy Szabo , Christoph Hauert

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 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 present an extensive, systematic study of the Prisoner's Dilemma and Snowdrift games on a square lattice under a synchronous, noiseless imitation dynamics. We show that for both the occupancy of the network and the (random) mobility of…

种群与进化 · 定量生物学 2015-11-25 Mendeli H. Vainstein , Jeferson J. Arenzon

The Prisoner's Dilemma (PD) game is used in several fields due to the emergence of cooperation among selfish players. Here, we have considered a one-dimensional lattice, where each cell represents a player, that can cooperate or defect.…

物理与社会 · 物理学 2009-04-03 Marcelo Alves Pereira , Alexandre Souto Martinez

We study co-evolutionary Prisoner's Dilemma games where each player can imitate both the strategy and imitation rule from a randomly chosen neighbor with a probability dependent on the payoff difference when the player's income is collected…

物理与社会 · 物理学 2009-11-04 Gyorgy Szabo , Attila Szolnoki , Jeromos Vukov

The perceived risk and reward for a given situation can vary depending on resource availability, accumulated wealth, and other extrinsic factors such as individual backgrounds. Based on this general aspect of everyday life, here we use…

统计力学 · 物理学 2021-12-07 Marco A. Amaral , Marcelo M. de Oliveira

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
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