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Internet Auctions with Many Traders

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  • Michael Peters
  • Sergei Severinov

Abstract

A multi-unit auction environment similar to Ebay is studied. Sellers who wish to sell a single unit of a homogenous good set reserve prices for their own independently run auctions. Buyers who hope to acquire a single unit bid as often as they like in a dynamic second price auction. When the number of buyers and sellers is large but finite, there is a Bayesian equilibrium for this completely decentalized trading procedure in which the ex post efficient set of trades occurs at a uniform trading price. Remarkably, the strategy rules that buyers and sellers use in this equilibrium are very simple. They do not depend in any way on beliefs, or on the number of buyers and sellers.

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Bibliographic Info

Paper provided by University of Toronto, Department of Economics in its series Working Papers with number peters-01-01.

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Length: 31 pages
Date of creation: 11 Feb 2001
Date of revision:
Handle: RePEc:tor:tecipa:peters-01-01

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References

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  1. Peters, Michael & Severinov, Sergei, 1997. "Competition among Sellers Who Offer Auctions Instead of Prices," Journal of Economic Theory, Elsevier, vol. 75(1), pages 141-179, July.
  2. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation for Research in Economics, Yale University.
  3. Dekel, E. & Wolinsky, A., 2000. "Rationalizable Outcomes of Large Independent Private-Value First-Price Discrete Auctions," Papers 2000-13, Tel Aviv.
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  6. Satterthwaite, Mark A & Williams, Steven R, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 477-98, October.
  7. Vijay Krishna & Motty Perry, 1997. "Efficient Mechanism Design," Game Theory and Information 9703010, EconWPA, revised 28 Apr 1998.
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  17. Ángel Hernando Veciana, 2001. "Competition Among Auctioneers," Working Papers. Serie AD 2001-18, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
  18. Wilson, Robert B, 1985. "Incentive Efficiency of Double Auctions," Econometrica, Econometric Society, vol. 53(5), pages 1101-15, September.
  19. McAfee, R Preston, 1993. "Mechanism Design by Competing Sellers," Econometrica, Econometric Society, vol. 61(6), pages 1281-1312, November.
  20. Rustichini, Aldo & Satterthwaite, Mark A & Williams, Steven R, 1994. "Convergence to Efficiency in a Simple Market with Incomplete Information," Econometrica, Econometric Society, vol. 62(5), pages 1041-63, September.
  21. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  22. Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
  23. Alvin E. Roth & Axel Ockenfels, 2000. "Last Minute Bidding and the Rules for Ending Second-Price Auctions: Theory and Evidence from a Natural Experiment on the Internet," NBER Working Papers 7729, National Bureau of Economic Research, Inc.
  24. Dekel, Eddie & Wolinsky, Asher, 2003. "Rationalizable outcomes of large private-value first-price discrete auctions," Games and Economic Behavior, Elsevier, vol. 43(2), pages 175-188, May.
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