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论文题目: Evolutionary Stability Concepts in a Stochastic Environment
论文题目英文:
作者: 郑秀灯①,#李聪①,#Sabin Lessard*,陶毅*
论文出处:
年: 2017
卷: 96
期: 3
页: Article No. 032414
联系作者: #Sabin Lessard,陶毅
发表期刊: Physical Review E
ISSN:
第一作者所在部门:
收录类别:
论文链接: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.96.032414
影响因子:
摘要: Over the past 30 years, evolutionary game theory and the concept of an evolutionarily stable strategy have been not only extensively developed and successfully applied to explain the evolution of animal behaviors, but also widely used in economics and social sciences. Nonetheless, the stochastic dynamical properties of evolutionary games in randomly fluctuating environments are still unclear. In this study, we investigate conditions for stochastic local stability of fixation states and constant interior equilibria in a two-phenotype model with random payoffs following pairwise interactions. Based on this model, we develop the concepts of stochastic evolutionary stability (SES) and stochastic convergence stability (SCS). We show that the condition for a pure strategy to be SES and SCS is more stringent than in a constant environment, while the condition for a constant mixed strategy to be SES is less stringent than the condition to be SCS, which is less stringent than the condition in a constant environment.
英文摘要:
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