Dynamic Oligopolies and Intertemporal Demand Interaction

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Abstract

Dynamic oligopolies are examined with continuous time scales and under the assumption that the demand at each time period is affected by earlier demands and consumptions. After the mathematical model is introduced the local asymptotical stability of the equilibrium is examined, and then we will discuss how information delays alter the stability conditions. We will also investigate the occurrence of a Hopf bifurcation giving the possibility of the birth of limit cycles. Numerical examples will be shown to illustrate the theoretical results.

Keywords

Noncooperative games , dynamic systems , time delay , stability
  • Carl Chiarella School of Finance and Economics, University of Technology Sydney, P.O. Box 123, Broadway, NSW 2007, Australia.
  • Ferenc Szidarovszky Systems & Industrial Engineering Department, The University of Arizona, Tucson, Arizona, 85721-0020, USA.
  • Pages: 85–105
  • Date Published: 2009-05-01
  • Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal

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Published

2009-05-01

How to Cite

[1]
C. Chiarella and F. Szidarovszky, “Dynamic Oligopolies and Intertemporal Demand Interaction”, CUBO, vol. 11, no. 2, pp. 85–105, May 2009.

Issue

Vol. 11 No. 2 (2009): CUBO, A Mathematical Journal

Section

Articles