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International Trade And Cournot Equilibrium: Existence, Uniqueness And Comparative Statics

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  • COLLIE, D.

Abstract

This paper proves the existence and uniqueness of Cournot equilibrium in models of international trade under oligopoly. The existence of Cournot equilibrium is established without the usual assumption that profit functions are concave. Instead the proof uses a weaker "aggregate concavity" condition. A simple proof is used to establish the uniqueness of the equilibrium. And, the paper considers the implications of the assumptions, used to prove the existence and uniqueness of the equilibrium, on the comparative static results.
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Suggested Citation

  • Collie, D., 1990. "International Trade And Cournot Equilibrium: Existence, Uniqueness And Comparative Statics," The Warwick Economics Research Paper Series (TWERPS) 352, University of Warwick, Department of Economics.
  • Handle: RePEc:wrk:warwec:352
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    References listed on IDEAS

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    1. Brander, James & Krugman, Paul, 1983. "A 'reciprocal dumping' model of international trade," Journal of International Economics, Elsevier, vol. 15(3-4), pages 313-321, November.
    2. William Novshek, 1985. "On the Existence of Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 52(1), pages 85-98.
    3. Brander, James A. & Spencer, Barbara J., 1984. "Trade warfare: Tariffs and cartels," Journal of International Economics, Elsevier, vol. 16(3-4), pages 227-242, May.
    4. Szidarovszky, F & Yakowitz, S, 1977. "A New Proof of the Existence and Uniqueness of the Cournot Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 18(3), pages 787-789, October.
    5. Charles D. Kolstad & Lars Mathiesen, 1987. "Necessary and Sufficient Conditions for Uniqueness of a Cournot Equilibrium," Review of Economic Studies, Oxford University Press, vol. 54(4), pages 681-690.
    6. Myles, Gareth D, 1991. "Tariff Policy and Imperfect Competition," The Manchester School of Economic & Social Studies, University of Manchester, vol. 59(1), pages 24-44, March.
    7. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
    8. Seade, Jesus, 1980. "The stability of cournot revisited," Journal of Economic Theory, Elsevier, vol. 23(1), pages 15-27, August.
    9. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, I: Theory," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 1-26.
    10. Partha Dasgupta & Eric Maskin, 1986. "The Existence of Equilibrium in Discontinuous Economic Games, II: Applications," Review of Economic Studies, Oxford University Press, vol. 53(1), pages 27-41.
    11. Brander, James A., 1981. "Intra-industry trade in identical commodities," Journal of International Economics, Elsevier, vol. 11(1), pages 1-14, February.
    12. Dixit, Avinash, 1984. "International Trade Policy for Oligopolistic Industries," Economic Journal, Royal Economic Society, vol. 94(376a), pages 1-16, Supplemen.
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    Cited by:

    1. Aidan Hollis, 2003. "Industrial Concentration, Output, and Trade: An Empirical Exploration," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 22(2), pages 103-119, March.
    2. Broll, Udo & Wahl, Jack E. & Wessel, Christoph, 2008. "Export production, hedging exchange rate risk: the duopoly case," Dresden Discussion Paper Series in Economics 06/08, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    3. Udo Broll & Peter Welzel & Kit Wong, 2009. "Export and Strategic Currency Hedging," Open Economies Review, Springer, vol. 20(5), pages 717-732, November.
    4. M. Kunizaki, 1992. "The Effects of a Commodity Tax in an International Oligopoly Model," Economics Discussion / Working Papers 92-25, The University of Western Australia, Department of Economics.
    5. Collie, David, 1991. "Export subsidies and countervailing tariffs," Journal of International Economics, Elsevier, vol. 31(3-4), pages 309-324, November.
    6. Guerrazzi, Marco, 2013. "Asymptotic Relations in Cournot’s Quantity Game: Some International Trade Implications - Relazioni asintotiche nel gioco di Cournot: alcune implicazioni per il commercio internazionale," Economia Internazionale / International Economics, Camera di Commercio Industria Artigianato Agricoltura di Genova, vol. 66(1), pages 47-56.
    7. Udo Broll & Peter Welzel & Kit Pong Wong, 1999. "Strategic Hedging," Working Paper Series B 1999-04, Friedrich-Schiller-Universität Jena, Wirtschaftswissenschaftliche Fakultïät.
    8. R Cornes & R Hartley, 2005. "The Geometry of Aggregative Games," The School of Economics Discussion Paper Series 0514, Economics, The University of Manchester.

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