Topological Entropy of Cournot-Puu Duopoly

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, w...

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Main Authors: Jose S. Cánovas, David López Medina
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2010/506940
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author Jose S. Cánovas
David López Medina
author_facet Jose S. Cánovas
David López Medina
author_sort Jose S. Cánovas
collection DOAJ
description 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.
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institution Kabale University
issn 1026-0226
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publishDate 2010-01-01
publisher Wiley
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spelling doaj-art-91ba50a540e04305a5ba807fe5427a412025-02-03T01:10:20ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/506940506940Topological Entropy of Cournot-Puu DuopolyJose S. Cánovas0David López Medina1Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, C/ Doctor Fleming sn., 30202 Cartagena, SpainDepartamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, C/ Doctor Fleming sn., 30202 Cartagena, SpainThe 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.http://dx.doi.org/10.1155/2010/506940
spellingShingle Jose S. Cánovas
David López Medina
Topological Entropy of Cournot-Puu Duopoly
Discrete Dynamics in Nature and Society
title Topological Entropy of Cournot-Puu Duopoly
title_full Topological Entropy of Cournot-Puu Duopoly
title_fullStr Topological Entropy of Cournot-Puu Duopoly
title_full_unstemmed Topological Entropy of Cournot-Puu Duopoly
title_short Topological Entropy of Cournot-Puu Duopoly
title_sort topological entropy of cournot puu duopoly
url http://dx.doi.org/10.1155/2010/506940
work_keys_str_mv AT josescanovas topologicalentropyofcournotpuuduopoly
AT davidlopezmedina topologicalentropyofcournotpuuduopoly