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Equilibrium in Generalized Cournot and Stackelberg Models

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  • Bulavsky, V.A.
  • Kalashnikov, V.V.

    (Tilburg University, Center for Economic Research)

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    Abstract

    A model of an oligopolistic market with a homogeneous product is examined. Each subject of the model uses a conjecture about the market response to variations of its production volume. The conjecture value depends upon both the current total volume of production at the market and the subject's contribution into it. Under general enough assumptions, the equilibrium existence and uniqueness theorems are proven. Furthermore, a particular assumption { namely, constant elasticity, { is considered, and the generalized Stackelberg model comprising several leaders is investigated.

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    Bibliographic Info

    Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 1999-116.

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    Date of creation: 1999
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    Handle: RePEc:dgr:kubcen:1999116

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    Web page: http://center.uvt.nl

    Related research

    Keywords: oligopolistic market; conjectural variations; equilibrium; leaders and followers;

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    1. David Kreps & Robert Wilson, 1998. "Sequential Equilibria," Levine's Working Paper Archive 237, David K. Levine.
    2. Novshek, William., 1984. "On the Existence of Cournot Equilibrium," Working Papers 517, California Institute of Technology, Division of the Humanities and Social Sciences.
    3. Bresnahan, Timothy F, 1981. "Duopoly Models with Consistent Conjectures," American Economic Review, American Economic Association, vol. 71(5), pages 934-45, December.
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