Demographic noise slows down cycles of dominance.

Abstract excerpt

We study the phenomenon of cyclic dominance in the paradigmatic Rock-Paper-Scissors model, as occurring in both stochastic individual-based models of finite populations and in the deterministic replicator equations. The mean-field replicator equations are valid in the limit of large populations and, in the presence of mutation and unbalanced payoffs, they exhibit an attracting limit cycle. The period of this...

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