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Title: Environmental Noise Could Promote Stochastic Local Stability of Behavioral Diversity Evolution
Author: Xiu-Deng Zheng, Cong Li, Sabin Lessard, Yi Tao
Abstract: In this Letter, we investigate stochastic stability in a two-phenotype evolutionary game model for an infinite, well-mixed population undergoing discrete, nonoverlapping generations. We assume that the fitness of a phenotype is an exponential function of its expected payoff following random pairwise interactions whose outcomes randomly fluctuate with time. We show that the stochastic local stability of a constant interior equilibrium can be promoted by the random environmental noise even if the system may display a complicated nonlinear dynamics. This result provides a new perspective for a better understanding of how environmental fluctuations may contribute to the evolution of behavioral diversity.
Corresponding author: Sabin Lessard, Yi Tao
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PubYear: 2018
Volume: 120
Issue: 12
Page: Article No. 218101
Journal: Physical Review Letters
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URL: https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.120.218101#fulltext