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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664R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
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- 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.
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- Wilson, Robert, 1977. "A Bidding Model of Perfect Competition," Review of Economic Studies, Wiley Blackwell, vol. 44(3), pages 511-18, October.
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