4.6 Article

A golden point rule in rock-paper-scissors-lizard-spock game

Journal

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 392, Issue 11, Pages 2652-2659

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.physa.2012.10.011

Keywords

Monte-Carlo simulation; ODEs; Mean Field Theory

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We study a novel five-species system on two-dimensional lattices when each species have two superior and two inferior partners. Here we simplify the huge parameter space of predation probability to only two parameters. Both of Monte Carlo simulation and Mean Field Theory reveal that two of strategies may die out when the ratio of the two parameters is close to the golden point 0.618, and the remaining three strategies are provided a cyclic dominance system. (C) 2012 Elsevier B.V. All rights reserved.

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