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Cournot equilibrium without apology: Existence and the Cournot inverse demand function

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  • Grilo, Isabel
  • Mertens, Jean-François

Abstract

In a multi-commodity framework with absence of wealth effects, we prove the existence of equilibrium for Cournot oligopoly, and that the concept is completely non-ambiguous. We also obtain a uniquely defined endogenous inverse demand function, depending only on the competitive sector.

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  • Grilo, Isabel & Mertens, Jean-François, 2009. "Cournot equilibrium without apology: Existence and the Cournot inverse demand function," Games and Economic Behavior, Elsevier, vol. 65(1), pages 142-175, January.
    • Handle: RePEc:eee:gamebe:v:65:y:2009:i:1:p:142-175
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    References listed on IDEAS

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    4. Jones, Larry E, 1984. "A Competitive Model of Commodity Differentiation," Econometrica, Econometric Society, vol. 52(2), pages 507-530, March.
    5. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    6. Rader, Trout, 1972. "Theory of General Economic Equilibrium," Elsevier Monographs, Elsevier, edition 1, number 9780125750400.
    7. Danilov, V. I. & Sotskov, A. I., 1990. "A generalized economic equilibrium," Journal of Mathematical Economics, Elsevier, vol. 19(4), pages 341-356.
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    Cited by:

    1. Oriol Carbonell-Nicolau & Richard P. McLean, 2018. "On the Existence of Nash Equilibrium in Bayesian Games," Mathematics of Operations Research, INFORMS, vol. 43(2), pages 100-129, February.
    2. Cui, Herui & Wei, Pengbang, 2017. "Analysis of thermal coal pricing and the coal price distortion in China from the perspective of market forces," Energy Policy, Elsevier, vol. 106(C), pages 148-154.

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