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Disordered environments in spatial games Mendeli H. Vainstein and Jeferson J. Arenzon*

Summary: Disordered environments in spatial games
Mendeli H. Vainstein and Jeferson J. Arenzon*
Instituto de Fi´sica Universidade Federal do Rio Grande do Sul, Caixa Postal 15051, 91501-970 Porto Alegre, RS ­ Brazil
Received 4 April 2001; published 22 October 2001
The Prisoner's dilemma is the main game theoretical framework in which the onset and maintainance of
cooperation in biological populations is studied. In the spatial version of the model, we study the robustness of
cooperation in heterogeneous ecosystems in spatial evolutionary games by considering site diluted lattices. The
main result is that, due to disorder, the fraction of cooperators in the population is enhanced. Moreover, the
system presents a dynamical transition at *, separating a region with spatial chaos from one with localized,
stable groups of cooperators.
DOI: 10.1103/PhysRevE.64.051905 PACS number s : 87.23.Cc, 05.50. q
Game theoretical methods have been applied, in a quite
successful way, to several different fields 1,2 , biology be-
ing one of the most successful branches 3­6 . In these evo-
lutionary games, rewards are translated in terms of subse-
quent reproductive success, a more natural and clear scale
than the rationality dependent ones used in, for example,
economy. Of particular interest is the emergence and sustain-
ability of cooperation, which has attracted a lot of attention


Source: Arenzon, Jeferson J. - Instituto de Física, Universidade Federal do Rio Grande do Sul


Collections: Physics