Resumen de Non-Ergodicity of Uniform Quadratic Stochastic Operators

Uygun Jamilov, Manuel Ladra González

• In this paper we consider a uniform extremal Volterra quadratic stochastic operator defined on an even-dimensional unit simplex, which corresponds to a balanced digraph, and show that such operator has the non-ergodicity property. We also reinterpret this result in the framework of zero-sum games obtaining that these operators correspond to rock-paper-scissors games.