Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/221503 
Year of Publication: 
1995
Series/Report no.: 
Discussion Paper No. 1147
Publisher: 
Northwestern University, Kellogg School of Management, Center for Mathematical Studies in Economics and Management Science, Evanston, IL
Abstract: 
We consider an auction in which k identical objects of unknown value are auctioned off to n bidders. The k highest bidders get an object and pay the k+1st bid. Bidders receive a signal that provides information about the value of the object. We characterize the unique symmetric equilibirum of this auction. We then consider a sequence of auctions Ar with nr bidders and kr objects. We show that price converges in probability to the true value of the object if and only if both kr-->infinity and nr--kr-->infinity, i.e., the number of objects and the number of bidders who do not receive an object in equilibrium go to infinty.
Document Type: 
Working Paper

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