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Perfect Competition in an Oligopoly (Including Bilateral Monopoly)

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  • Pradeep Dubey
  • Dieter Sondermann

Abstract

We show that if limit orders are required to vary smoothly, then strategic (Nash) equilibria of the double auction mechanism yield competitive (Walras) allocations. It is not necessary to have competitors on any side of any market: smooth trading is a substitute for price wars. In particular, Nash equilibria are Walrasian even in a bilateral monopoly.
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Suggested Citation

  • Pradeep Dubey & Dieter Sondermann, 2007. "Perfect Competition in an Oligopoly (Including Bilateral Monopoly)," Department of Economics Working Papers 07-07, Stony Brook University, Department of Economics.
  • Handle: RePEc:nys:sunysb:07-07
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    File URL: http://www.stonybrook.edu/commcms/economics/research/papers/2007/wp07_7.pdf
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    References listed on IDEAS

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    1. L. Hurwicz, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Oxford University Press, vol. 46(2), pages 217-225.
    2. Sonia Weyers, 1999. "Uncertainty and insurance in strategic market games," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 14(1), pages 181-201.
    3. Mas-Colell, Andreu, 1980. "Noncooperative approaches to the theory of perfect competition: Presentation," Journal of Economic Theory, Elsevier, vol. 22(2), pages 121-135, April.
    4. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    5. Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
    6. Pradeep Dubey & John Geanakoplos & Martin Shubik, 2005. "Default and Punishment in General Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 1-37, January.
    7. Gael Giraud & Hubert Stahn, 2013. "Nash-implementation of competitive equilibria via a bounded mechanism," Review of Economic Design, Springer;Society for Economic Design, vol. 17(1), pages 43-62, March.
    8. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July.
    9. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    10. Eric Maskin, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Oxford University Press, vol. 66(1), pages 23-38.
    11. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-126, January.
    12. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-1593, November.
    13. Sahi, Siddhartha & Yao, Shuntian, 1989. "The non-cooperative equilibria of a trading economy with complete markets and consistent prices," Journal of Mathematical Economics, Elsevier, vol. 18(4), pages 325-346, September.
    14. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
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    Cited by:

    1. Dmitry Levando, 2012. "A Survey Of Strategic Market Games," Economic Annals, Faculty of Economics, University of Belgrade, vol. 57(194), pages 63-106, July - Se.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D41 - Microeconomics - - Market Structure, Pricing, and Design - - - Perfect Competition
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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