Evolutionary Dynamics of Zero-sum Games with Degenerate Payoff Matrix and Bisexual Population
| Autor: | U. U. Jamilov, Nasir Ganikhodjaev, Manuel Ladra |
|---|---|
| Rok vydání: | 2021 |
| Předmět: |
Computer Science::Computer Science and Game Theory
education.field_of_study Control and Optimization Population Normal-form game Degenerate energy levels ComputingMilieux_PERSONALCOMPUTING MathematicsofComputing_NUMERICALANALYSIS Computational Mechanics Statistical and Nonlinear Physics Fixed point Operator (computer programming) Quadratic equation Zero-sum game Quantitative Biology::Populations and Evolution Discrete Mathematics and Combinatorics Applied mathematics Evolutionary dynamics education Mathematics |
| Zdroj: | The interdisciplinary journal of Discontinuity, Nonlinearity, and Complexity. 10:43-60 |
| ISSN: | 2164-6414 2164-6376 |
| DOI: | 10.5890/dnc.2021.03.004 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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