umu.sePublications
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
Mathematical properties of a discontinuous Cournot-Stackelberg model
Dept of Economics and Quantitative methods, University of Urbino, Italy.
Dept of Economics and Quantitative methods, University of Urbino, Italy.
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM).
2011 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, E-ISSN 1873-2887, Vol. 44, no 1-3, 58-70 p.Article in journal (Refereed) Published
Abstract [en]

The object of this work is to perform the global analysis of a recent duopoly model which couples the two points of view of Cournot and Stackelberg [17,18]. The Cournot model is assumed with isoelastic demand function and unit costs. The coupling leads to discontinuous reaction functions, whose bifurcations, mainly border collision bifurcations, are investigated as well as the global structure of the basins of attraction. In particular, new properties are shown, associated with the introduction of horizontal branches, which differ significantly when the constant value is zero or positive and small. The good behavior of the model with positive constant is proved, leading to stable cycles of any period. 

Place, publisher, year, edition, pages
Oxford: Pergamon-Elsevier Science Ltd , 2011. Vol. 44, no 1-3, 58-70 p.
Keyword [en]
Mathematics, interdisciplinary applications, physics, multidisciplinary, mathematical
National Category
Economics Mathematics
Identifiers
URN: urn:nbn:se:umu:diva-43832DOI: 10.1016/j.chaos.2010.12.001OAI: oai:DiVA.org:umu-43832DiVA: diva2:416240
Note
(C) 2010 Elsevier Ltd. All rights reserved.Available from: 2011-05-11 Created: 2011-05-11 Last updated: 2017-12-11Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Puu, Tönu
By organisation
Centre for Regional Science (CERUM)
In the same journal
Chaos, Solitons & Fractals
EconomicsMathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 58 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf