Cyclic Competition and Percolation in Grouping Predator-Prey Populations

Alessandra F. Lütz, Annette Cazaubiel and Jeferson J. Arenzon
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Alessandra F. Lütz: Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil
Annette Cazaubiel: Normale Supérieure, International Center of Fundamental Physics, 45 Rue d’Ulm, 75005 Paris, France
Jeferson J. Arenzon: Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil

Games, 2017, vol. 8, issue 1, 1-9

Abstract: We study, within the framework of game theory, the properties of a spatially distributed population of both predators and preys that may hunt or defend themselves either isolatedly or in group. Speci?cally, we show that the properties of the spatial Lett-Auger-Gaillard model, when different strategies coexist, can be understood through the geometric behavior of clusters involving four effective strategies competing cyclically,without neutral states. Moreover, the existence of strong ?nite-size effects, a form of the survival of the weakest effect, is related to a percolation crossover. These results may be generic and of relevance to other bimatrix games.

Keywords: n/a (search for similar items in EconPapers)
JEL-codes: C C7 C70 C71 C72 C73 (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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