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Equilibrium Uniqueness in a Cournot Model with Demand Uncertainty

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  • Lagerlöf Johan N.M.

    (Royal Holloway, University of London; and CEPR)

Abstract

If Cournot oligopolists face uncertainty about the intercept of a linear demand function and if the realized market price must be non-negative, then expected demand becomes convex, which can create a multiplicity of equilibria. This note shows that if the distribution of the demand intercept has a monotone hazard rate and if another, rather weak, assumption is satisfied, then uniqueness of equilibrium is guaranteed.

Suggested Citation

  • Lagerlöf Johan N.M., 2006. "Equilibrium Uniqueness in a Cournot Model with Demand Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 6(1), pages 1-6, December.
  • Handle: RePEc:bpj:bejtec:v:topics.6:y:2006:i:1:n:19
    DOI: 10.2202/1534-598X.1333
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    Cited by:

    1. Sjaak Hurkens, 2014. "Bayesian Nash equilibrium in “linear” Cournot models with private information about costs," International Journal of Economic Theory, The International Society for Economic Theory, vol. 10(2), pages 203-217, June.
    2. Grimm Veronika & Zöttl Gregor, 2010. "Price Regulation under Demand Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-34, June.
    3. Einy, Ezra & Haimanko, Ori & Moreno, Diego & Shitovitz, Benyamin, 2010. "On the existence of Bayesian Cournot equilibrium," Games and Economic Behavior, Elsevier, vol. 68(1), pages 77-94, January.
    4. Gürkan, G. & Ozdemir, O. & Smeers, Y., 2013. "Strategic Generation Capacity Choice under Demand Uncertainty : Analysis of Nash Equilibria in Electricity Markets," Other publications TiSEM 6b9f0c3a-030e-41e7-8e04-6, Tilburg University, School of Economics and Management.

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