Evolutionary Dynamics of Zero-sum Games with Degenerate Payoff Matrix and Bisexual Population
DOI:
https://doi.org/10.5890/DNC.2021.03.004Abstract
In this paper we consider the quadratic stochastic operators describing evolution of a bisexual population. We establish correlation between such operators and evolutionary games, namely demonstrate that Volterra quadratic stochastic operator with degenerate payoff matrix is non-ergodic and corresponding evolutionary game is rock-paper-scissors game. To prove this statements we study the asymptotic behavior of trajectories of the Volterra quadratic stochastic operators with the non-hyperbolic fixed points.References
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