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Open AccessArticle

Cyclic Competition and Percolation in Grouping Predator-Prey Populations

Instituto de Física, Universidade Federal do Rio Grande do Sul, CP 15051, 91501-970 Porto Alegre RS, Brazil
Normale Supérieure, International Center of Fundamental Physics, 45 Rue d’Ulm, 75005 Paris, France
Author to whom correspondence should be addressed.
Games 2017, 8(1), 10;
Received: 8 December 2016 / Accepted: 17 January 2017 / Published: 2 February 2017
(This article belongs to the Special Issue Evolutionary Games and Statistical Physics of Social Networks)
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. Specifically, 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 finite-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. View Full-Text
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MDPI and ACS Style

Lütz, A.F.; Cazaubiel, A.; Arenzon, J.J. Cyclic Competition and Percolation in Grouping Predator-Prey Populations. Games 2017, 8, 10.

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