# American Institute of Mathematical Sciences

January  2018, 23(1): 1-11. doi: 10.3934/dcdsb.2018001

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

 Instytut Matematyki i Informatyki, Uniwersytet Opolski, ul. Oleska 48, Poland

Received  October 2016 Revised  February 2017 Published  January 2018

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.

Citation: Włodzimierz Bąk, Tadeusz Nadzieja, Mateusz Wróbel. Models of the population playing the rock-paper-scissors game. Discrete & Continuous Dynamical Systems - B, 2018, 23 (1) : 1-11. doi: 10.3934/dcdsb.2018001
##### References:

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##### References:
Levels of Lyapunov function.
Sample trajectories of $V_{\lambda}$.
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