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Mathematical properties of a discontinuous Cournot–Stackelberg model
Facoltà di Economia, Università degli Studi di Urbino, Urbino, Italy.
Facoltà di Economia, Università degli Studi di Urbino, 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] and [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
2011. Vol. 44, no 1–3, 58-70 p.
National Category
Economics
Identifiers
URN: urn:nbn:se:umu:diva-100238OAI: oai:DiVA.org:umu-100238DiVA: diva2:790932
Available from: 2015-02-26 Created: 2015-02-26 Last updated: 2017-12-04

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http://www.sciencedirect.com/science/article/pii/S0960077910000251
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Chaos, Solitons & Fractals
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