The geometrical patterns of cooperation evolution in the spatial prisoner's dilemma: An intra-group model

Ricardo Oliveira dos Santos Soares and Alexandre Souto Martinez

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 823-829

Abstract: The prisoner's dilemma (PD) deals with the behavior conflict between two agents, who can either cooperate (cooperators) or defect. If both agents cooperate (defect), they have a unitary (null) payoff. Otherwise the payoff is T for the defector and null for the cooperator. The temptation T to defect is the only free parameter in the model. Here the agents are represented by the cells of a L×L lattice. The agent behaviors are initially randomly distributed according to an initial proportion of cooperators ρc(0). Each agent has no memory of previous behaviors and plays the PD with his/her eight nearest neighbors. At each generation, the considered agent copies the behavior of those who have secured the highest payoff. Once the PD conflict has been established (1Keywords: N-agent game; Spatial prisoner's dilemma; Cooperation/defection; Intra-group model; Biophysics; Sociophysics; Econophysics (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:823-829

DOI: 10.1016/j.physa.2006.02.003

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