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Perfect Competition in a Bilateral Monopoly (In honor of Martin Shubik)

  • Pradeep Dubey

    (Center for Game Theory, Dept. of Economics, SUNY at Stony Brook and Cowles Foundation, Yale University)

  • Dieter Sondermann

    (Department of Economics, University of Bonn, Bonn)

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: http://cowles.econ.yale.edu/P/cd/d15a/d1534.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1534.

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Length: 24 pages
Date of creation: Sep 2005
Date of revision:
Publication status: Published in Games and Economic Behavior (Special Issue in Honor of Martin Shubik) (January 2009), 65(1), 124-141
Handle: RePEc:cwl:cwldpp:1534
Contact details of provider: Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/

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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-49, April.
  2. Mertens, J. F., 2003. "The limit-price mechanism," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 433-528, July.
  3. Dubey, Pradeep, 1982. "Price-Quantity Strategic Market Games," Econometrica, Econometric Society, vol. 50(1), pages 111-26, January.
  4. Schmeidler, David, 1980. "Walrasian Analysis via Strategic Outcome Functions," Econometrica, Econometric Society, vol. 48(7), pages 1585-93, November.
  5. 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.
  6. Hurwicz, L, 1979. "Outcome Functions Yielding Walrasian and Lindahl Allocations at Nash Equilibrium Points," Review of Economic Studies, Wiley Blackwell, vol. 46(2), pages 217-25, April.
  7. 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.
  8. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-32, April.
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