Change search
ReferencesLink to record
Permanent link

Direct link
Mathematical properties of a combined Cournot-Stackelberg model
Department of Economics, University of Ancona, Italy.
Department of Economics and Quantitative Methods, University of Urbino, Italy .
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM).
2010 (English)Report (Other academic)
Abstract [en]

The object of this work is to perform the global analysis of a new duopoly model which couples the two points of view of Cournot and Stackelberg. 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 investigates 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 di¤er 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
Urbino: University of Urbino Carlo Bo, Department of Economics , 2010. , 26 p.
, WP-EMS Working Papers Series in Economics, Mathematics and Statistics, ISSN 1974-4110 ; 2010/07
Keyword [en]
Cournot-Stackelberg duopoly, Isoelastic demand function, Discontinuous reaction functions, Multistability, Border-collision bifurcations.
National Category
URN: urn:nbn:se:umu:diva-35098OAI: diva2:329248
Available from: 2010-07-08 Created: 2010-07-08 Last updated: 2010-08-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Search in DiVA

By author/editor
Puu, Tönu
By organisation
Centre for Regional Science (CERUM)

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 70 hits
ReferencesLink to record
Permanent link

Direct link