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Oligopoly with Leaders

  • G. Isac
  • V. A. Bulavsky
  • V. V. Kalashnikov
Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 63)

Abstract

This chapter is dedicated to the Stackelberg model which is a particular case of bilevel problems with equilibrium constraints. In Section 5.1, the Stackelberg model is extended to the case of several leaders, and the theorem of existence of a stationary point is obtained. In Section 5.2, we compare the equilibria in the Stackelberg and Cournot models. Section 5.3 presents simple examples of comparison of equilibria in different models: Cournot model, high expectations model, Stackelberg model, and the perfect competition one. These examples illustrate results of Section 5.2. At last, problems of efficient computation of the equilibrium are considered in Section 5.4.

Keywords

Complementarity Problem Bilevel Problem Stackelberg Equilibrium Perfect Competition Cournot Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. Bulavsky VA, Kalashnikov VV. Equilibria in generalized Cournot and Stackelberg models. Ekonomika i Matematicheskie Metody (in Russian) 1995; 31: 164–176.Google Scholar
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Copyright information

© Springer Science+Business Media Dordrecht 2002

Authors and Affiliations

  • G. Isac
    • 1
  • V. A. Bulavsky
    • 2
  • V. V. Kalashnikov
    • 2
  1. 1.Department of Mathematics and Computer ScienceRoyal Military College of CanadaKingstonCanada
  2. 2.Central Economics Institute (CEMI) of Russian Academy of SciencesMoscowRussia

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