Evolution of Cooperation in a Spatial Prisoner's Dilemma

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dc.creatorSchweitzer, Frank
dc.creatorBehera, Laxmidhar
dc.creatorMuehlenbein, Heinz
dc.date2002-11-26
dc.date.accessioned2026-07-07T02:48:23Z
dc.date.available2026-07-07T02:48:23Z
dc.descriptionWe 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 interacts with his neighbors. Based on a detailed analysis of the local payoff structures we derive critical conditions for the invasion or the spatial coexistence of cooperators and defectors. These results are concluded in a phase diagram that allows to identify five regimes, each characterized by a distinct spatiotemporal dynamics and a corresponding final spatial structure. In addition to the complete invasion of defectors, we find coexistence regimes with either a majority of cooperators in large spatial domains, or a minority of cooperators organized in small non-stationary domains or in small clusters. The analysis further allowed a verification of computer simulation results by Nowak and May (1993). Eventually, we present simulation results of a true 5-person game on a lattice. This modification leads to non-uniform spatial interactions that may even enhance the effect of cooperation. Keywords: Prisoner's dilemma; cooperation; spatial 5-person game
dc.description33 pages, 22 multipart figures, for related papers see http://www.ais.fraunhofer.de/~frank/papers.html
dc.identifierhttps://arxiv.org/abs/cond-mat/0211605
dc.identifierhttp://arxiv.org/abs/cond-mat/0211605
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20384
dc.subjectStatistical Mechanics
dc.subjectComputer Science and Game Theory
dc.subjectCellular Automata and Lattice Gases
dc.titleEvolution of Cooperation in a Spatial Prisoner's Dilemma
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