GLOBAL BIFURCATIONS IN DUOPOLY WHEN THE COURNOT POINT IS DESTABILIZED VIA A SUBCRITICAL NEIMARK BIFURCATION

An adaptive oligopoly model, where the demand function is isoelastic and the competitors operate under constant marginal costs, is considered. The Cournot equilibrium point then loses stability through a subcritical Neimark bifurcation. The present paper focuses some global bifurcations, which precede the Neimark bifurcation, and produce other attractors which coexist with the still attractive Cournot fixed point.

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Year of publication:	2006
Authors:	AGLIARI, ANNA ; GARDINI, LAURA ; PUU, TONU
Published in:	International Game Theory Review (IGTR). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-6675. - Vol. 08.2006, 01, p. 1-20
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Duopoly model \| Subcritical Neimark bifurcation \| Border collision bifurcation \| Subject Classification: 37N40 \| Subject Classification: 70K \| Subject Classification: 37G99

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Extent:	application/pdf text/html
Type of publication:	Article
Classification:	B4 - Economic Methodology ; C0 - Mathematical and Quantitative Methods. General ; C6 - Mathematical Methods and Programming ; C7 - Game Theory and Bargaining Theory ; D5 - General Equilibrium and Disequilibrium ; D7 - Analysis of Collective Decision-Making ; M2 - Business Economics
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005081042