On the Lowest-Winning-Bid and the Highest-Losing-Bid Auctions
AbstractTheoretical models of multi-unit, uniform-price auctions assume that the price is given by the highest losing bid. In practice, however, the price is usually given by the lowest winning bid. We derive the equilibrium bidding function of the lowest-winning-bid auction when there are k objects for sale and n bidders with unit demand, and prove that it converges to the bidding function of the highest-losing-bid auction if and only if the number of losers n - k gets large. When the number of losers grows large, the bidding functions converge at a linear rate and the prices in the two auctions converge in probability to the expected value of an object to the marginal winner.
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Bibliographic InfoPaper provided by University of Warwick, Department of Economics in its series The Warwick Economics Research Paper Series (TWERPS) with number 832.
Length: 19 pages
Date of creation: 2007
Date of revision:
Auctions; Lowest-Winning Bid; Highest-Losing Bid; k-th Price Auction; (k+1)-st; Price Auction;
Other versions of this item:
- Mezzetti, Claudio & Tsetlin, Ilia, 2008. "On the lowest-winning-bid and the highest-losing-bid auctions," Journal of Mathematical Economics, Elsevier, vol. 44(9-10), pages 1040-1048, September.
- Claudio Mezzetti & Ilia Tsetlin, 2006. "On the Lowest-Winning-Bid and the Highest-Losing-Bid Auctions," Discussion Papers in Economics 06/16, Department of Economics, University of Leicester.
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
This paper has been announced in the following NEP Reports:
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