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The dynamics of a triopoly Cournot game when the competitors operate under capacity constraints
Umeå University, Faculty of Social Sciences, Centre for Regional Science (CERUM).
Univ Politecn Cartagena, Dpto Metodos Cuantitativos & Informat, Spain.
2006 (English)In: Chaos, Solitons & Fractals, ISSN 0960-0779, Vol. 28, no 2, 403-413 p.Article in journal (Refereed) Published
Abstract [en]

This article considers Cournot oligopoly with three competitors, given an iso-elastic demand function, and cost functions that asymptotically go to infinity when capacity limits are approached. It is shown that for some parameter values (capacity limits) the Cournot equilibrium point loses stability through a Neimark-Sacker bifurcation. In addition global bifurcation scenarios are simulated numerically, and some are illustrated through Arnol'd tongues in the parameter plane.

Place, publisher, year, edition, pages
2006. Vol. 28, no 2, 403-413 p.
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URN: urn:nbn:se:umu:diva-13692DOI: 10.1016/j.chaos.2005.05.034OAI: diva2:153363
Available from: 2007-05-14 Created: 2007-05-14Bibliographically approved

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