Non-Ergodicity of Uniform Quadratic Stochastic Operators

  1. Uygun Jamilov 1
  2. Manuel Ladra 2
  1. 1 National University of Uzbekistan (Uzbekistán)
  2. 2 Universidade de Santiago de Compostela
    info

    Universidade de Santiago de Compostela

    Santiago de Compostela, España

    ROR https://ror.org/030eybx10

Journal:
Qualitative theory of dynamical systems

ISSN: 1575-5460

Year of publication: 2016

Volume: 15

Issue: 1

Pages: 257-271

Type: Article

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Abstract

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.

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