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

Listed author(s):
  • COLLIE, D.

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. Copyright 1992 by Blackwell Publishing Ltd and the Board of Trustees of the Bulletin of Economic Research

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File URL: http://www2.warwick.ac.uk/fac/soc/economics/research/workingpapers/1989-1994/twerp352.pdf
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Paper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 352.

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Length: 18 pages
Date of creation: 1990
Handle: RePEc:wrk:warwec:352
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Web page: http://www2.warwick.ac.uk/fac/soc/economics/

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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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