Non-Ergodicity of Uniform Quadratic Stochastic Operators

• Uygun Jamilov ^[1] ; Manuel Ladra ^[2]
  1. [1] National University of Uzbekistan

     National University of Uzbekistan

     Uzbekistán

     
  2. [2] Universidade de Santiago de Compostela

     Universidade de Santiago de Compostela

     Santiago de Compostela, España

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 15, Nº 1, 2016, págs. 257-271
• Idioma: inglés
• Texto completo no disponible (Saber más ...)
• Resumen

  • 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.