Bidding against an unknown number of competitiors sharing affiliated information
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.
|Date of creation:||09 Jul 1997|
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|Note:||Financial support from the Deutsche Forschungsgemeinschaft, SFB 504, at the University of Mannheim, is gratefully acknowledged.|
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- Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-99, June.
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- Krishna, Vijay & Morgan, John, 1997.
"An Analysis of the War of Attrition and the All-Pay Auction,"
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Elsevier, vol. 72(2), pages 343-362, February.
- Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA.
- Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 511-18, October.
- 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.
- Harstad, Ronald M & Levin, Dan, 1985. "A Class of Dominance Solvable Common-Value Auctions," Review of Economic Studies, Wiley Blackwell, vol. 52(3), pages 525-28, July.
- Wilson, Robert, 1992. "Strategic analysis of auctions," Handbook of Game Theory with Economic Applications, in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 8, pages 227-279 Elsevier.
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