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Bidding against an unknown number of competitiors sharing affiliated information

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Author Info
Vleugels, Jan () (University Mannheim)
Abstract

In the general symmetric model of Milgrom and Weber, equilibrium bidding is analyzed with a stochastic number of bidders. the equilibrium strategies generalize the known expressions in a coherent way. For the equilibrium bid function of the first price auction, an interpretation involving 'marginal winning probabilities' is proposed. With ageneralized version of the linkage principle, the well-knownrevenue ranking theorems extend to a stochastic number of bidders. As an application, we show that the seller's generically optimal information policy regarding the number of competitors is concealing the information.

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Paper provided by Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim in its series Sonderforschungsbereich 504 Publications with number 97-13.

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Length: 44 pages
Date of creation: 09 Jul 1997
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Handle: RePEc:xrs:sfbmaa:97-13

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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. McAfee, R. Preston & McMillan, John, 1987. "Auctions with a stochastic number of bidders," Journal of Economic Theory, Elsevier, vol. 43(1), pages 1-19, October. [Downloadable!] (restricted)
  2. Paul R. Milgrom, 1985. "Auction Theory," Cowles Foundation Discussion Papers 779, Cowles Foundation, Yale University. [Downloadable!]
  3. Douglas Dyer & John H. Kagel & Dan Levin, 1989. "Resolving Uncertainty about the Number of Bidders in Independent Private-Value Auctions: An Experimental Analysis," RAND Journal of Economics, The RAND Corporation, vol. 20(2), pages 268-279, Summer. [Downloadable!] (restricted)
  4. Harstad, Ronald M, 1990. "Alternative Common-Value Auction Procedures: Revenue Comparisons with Free Entry," Journal of Political Economy, University of Chicago Press, vol. 98(2), pages 421-29, April. [Downloadable!] (restricted)
  5. Steven A. Matthews, 1985. "Comparing Auctions for Risk Averse Buyers: A Buyer's Pointof View," Discussion Papers 664R, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
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  6. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347. [Downloadable!] (restricted)
  7. Roger B. Myerson, 1978. "Optimal Auction Design," Discussion Papers 362, Northwestern University, Center for Mathematical Studies in Economics and Management Science. [Downloadable!]
  8. Riley, John G, 1989. "Expected Revenue from Open and Sealed Bid Auctions," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 41-50, Summer. [Downloadable!] (restricted)
  9. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August. [Downloadable!] (restricted)
  10. Karlin, Samuel & Rinott, Yosef, 1980. "Classes of orderings of measures and related correlation inequalities. I. Multivariate totally positive distributions," Journal of Multivariate Analysis, Elsevier, vol. 10(4), pages 467-498, December. [Downloadable!] (restricted)
  11. Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Blackwell Publishing, vol. 44(3), pages 511-18, October. [Downloadable!] (restricted)
  12. Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA. [Downloadable!]
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  13. Harstad, Ronald M. & Kagel, John H. & Levin, Dan, 1990. "Equilibrium bid functions for auctions with an uncertain number of bidders," Economics Letters, Elsevier, vol. 33(1), pages 35-40, May. [Downloadable!] (restricted)
  14. Piccione, Michele & Tan, Guofu, 1996. "A Simple Model of Expert and Non-Expert Bidding in First-Price Auctions," Journal of Economic Theory, Elsevier, vol. 70(2), pages 501-515, August. [Downloadable!] (restricted)
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  15. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September. [Downloadable!] (restricted)
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  16. McAfee, R Preston & Vincent, Daniel, 1992. "Updating the Reserve Price in Common-Value Auctions," American Economic Review, American Economic Association, vol. 82(2), pages 512-18, May. [Downloadable!] (restricted)
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