Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 506940, 12 pages
doi:10.1155/2010/506940
Research Article

Topological Entropy of Cournot-Puu Duopoly

Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, C/ Doctor Fleming sn., 30202 Cartagena, Spain

Received 1 October 2009; Accepted 20 April 2010

Academic Editor: Masahiro Yabuta

Copyright © 2010 Jose S. Cánovas and David López Medina. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The aim of this paper is to analyze a classical duopoly model introduced by Tönu Puu in 1991. For that, we compute the topological entropy of the model and characterize those parameter values with positive entropy. Although topological entropy is a measure of the dynamical complexity of the model, we will show that such complexity could not be observed.