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Perfect Competition in an Oligoply (including Bilateral Monopoly)

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Author Info
Pradeep Dubey und 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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File URL: ftp://web.bgse.uni-bonn.de/pub/RePEc/bon/bonedp/bgse9_2008.pdf
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Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse9_2008.

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Handle: RePEc:bon:bonedp:bgse9_2008

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 9221
Web page: http://www.bgse.uni-bonn.de/index.php?id=494

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Related research
Keywords: Limit orders double auction Nash equilibria Walras equilibria mechanism design

Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D41 - Microeconomics - - Market Structure and Pricing - - - Perfect Competition
D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law & Economics, University of Chicago Press, vol. 15(1), pages 143-49, April.
  2. Maskin, Eric, 1999. "Nash Equilibrium and Welfare Optimality," Review of Economic Studies, Blackwell Publishing, vol. 66(1), pages 23-38, January. [Downloadable!] (restricted)
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  3. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July. [Downloadable!] (restricted)
  4. 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 637-54, May-June. [Downloadable!] (restricted)
  5. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Blackwell Publishing, vol. 46(2), pages 217-25, April. [Downloadable!] (restricted)
  6. 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. [Downloadable!] (restricted)
  7. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November. [Downloadable!] (restricted)
  8. 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. [Downloadable!] (restricted)
  9. 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. [Downloadable!] (restricted)
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This page was last updated on 2008-8-9.

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