Cyclic competition and percolation in grouping predator-prey populations

Artikel

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.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Journal: Games ; ISSN: 2073-4336 ; Volume: 8 ; Year: 2017 ; Issue: 1 ; Pages: 1-9 ; Basel: MDPI

Classification and Topics

• Classification: Wirtschaft

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Lütz, Alessandra F. ; Cazaubiel, Annette ; Arenzon, Jeferson J.
• Event: Veröffentlichung
• (who): MDPI
• (where): Basel
• (when): 2017

Further information

• DOI: doi:10.3390/g8010010
• Handle: http://hdl.handle.net/10419/168008
• Last update: 10.03.2025, 11:42 AM CET