Stochastic Evolutionary Stability in Matrix Game with Three Pure Strategies Models
Xiu-Deng Zheng,
Yi Tao () and
Cong Li ()
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Xiu-Deng Zheng: Chinese Academy of Sciences
Yi Tao: Chinese Academy of Sciences
Cong Li: Northwestern Polytechnical University
Dynamic Games and Applications, 2025, vol. 15, issue 4, No 6, 1243-1251
Abstract:
Abstract In this study, to show the conditions for stochastic evolutionary stability in evolutionary game dynamics with more than two pure strategies, the results from two-phenotype models with two pure strategies are extended to the situation with three pure strategies. Our main results enrich our understanding of the stochastic evolutionary stability in situations with multiple pure strategies. In particular, it should be noted that the mathematical complexity in determining the conditions for stochastic evolutionary stability, especially for the degenerate cases with multiple pure strategies, should be given a great attention in the future study.
Keywords: Random payoff matrix; Stochastic recurrence equation; Stochastic evolutionary stability; Two-phenotype models with three pure strategies (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s13235-025-00621-x
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