Cyclic competition and percolation in grouping predator-prey populations
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.
Year of publication: |
2017
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Authors: | Lütz, Alessandra F. ; Cazaubiel, Annette ; Arenzon, Jeferson J. |
Published in: |
Games. - Basel : MDPI, ISSN 2073-4336. - Vol. 8.2017, 1, p. 1-9
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Publisher: |
Basel : MDPI |
Saved in:
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