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• W2140171645 abstract "We analyze the replicator-mutator equations for the Rock-Paper-Scissors game. Various graph-theoretic patterns of mutation are considered, ranging from a single unidirectional mutation pathway between two of the species, to global bidirectional mutation among all the species. Our main result is that the coexistence state, in which all three species exist in equilibrium, can be destabilized by arbitrarily small mutation rates. After it loses stability, the coexistence state gives birth to a stable limit cycle solution created in a supercritical Hopf bifurcation. This attracting periodic solution exists for all the mutation patterns considered, and persists arbitrarily close to the limit of zero mutation rate and a zero-sum game." @default.
• W2140171645 created "2016-06-24" @default.
• W2140171645 creator A5029418921 @default.
• W2140171645 creator A5036731944 @default.
• W2140171645 date "2015-05-11" @default.
• W2140171645 modified "2023-09-26" @default.
• W2140171645 title "Nonlinear dynamics of the rock-paper-scissors game with mutations" @default.
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• W2140171645 doi "https://doi.org/10.1103/physreve.91.052907" @default.
• W2140171645 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/26066229" @default.
• W2140171645 hasPublicationYear "2015" @default.
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