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Models of the population playing the rock-paper-scissors game

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  • We consider discrete dynamical systems coming from the models of evolution of populations playing rock-paper-scissors game. Asymptotic behaviour of trajectories of these systems is described, occurrence of the Neimark-Sacker bifurcation and nonexistence of time averages are proved.

    Mathematics Subject Classification: Primary: 37C05, 91A05.


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  • Figure 1.  Levels of Lyapunov function.

    Figure 2.  Sample trajectories of $V_{\lambda}$.

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