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Auctions in which losers set the price

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Author Info
Mezzetti, Claudio
Tsetlin, Ilia

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Abstract

We study auctions of a single asset among symmetric bidders with affiliated values. We show that the second-price auction minimizes revenue among all efficient auction mechanisms in which only the winner pays, and the price only depends on the losers' bids. In particular, we show that the kth price auction generates higher revenue than the second-price auction, for all k>2. If rationing is allowed, with shares of the asset rationed among the t highest bidders, then the (t+1)st price auction yields the lowest revenue among all auctions with rationing in which only the winners pay and the unit price only depends on the losers' bids. Finally, we compute bidding functions and revenue of the kth price auction, with and without rationing, for an illustrative example much used in the experimental literature to study first-price, second-price and English auctions.

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Publisher Info
Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 66 (2009)
Issue (Month): 2 (July)
Pages: 855-864
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Handle: RePEc:eee:gamebe:v:66:y:2009:i:2:p:855-864

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Web page: http://www.elsevier.com/locate/inca/622836

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Related research
Keywords: Auctions Second-price auction English auction kth price auction Affiliated values Rationing Robust mechanism design;

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References listed on IDEAS
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  1. Parlour, Christine A. & Prasnikar, Vesna & Rajan, Uday, 2007. "Compensating for the winner's curse: Experimental evidence," Games and Economic Behavior, Elsevier, vol. 60(2), pages 339-356, August. [Downloadable!] (restricted)
  2. Paul Klemperer, 2004. "Auctions: Theory and Practice," Economics Papers 2004-W09, Economics Group, Nuffield College, University of Oxford. [Downloadable!]
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  3. E. Wolfstetter, . "Third- And Higher- Price Auctions," Sonderforschungsbereich 373 1996-3, Humboldt Universitaet Berlin.
  4. Giuseppe Lopomo, 1995. "Optimality and Robustness of the English Auction," Working Papers 95-03, New York University, Leonard N. Stern School of Business, Department of Economics.
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  5. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," Econometrica, Econometric Society, vol. 73(6), pages 1771-1813, November. [Downloadable!] (restricted)
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  6. Krishna, Vijay & Morgan, John, 1997. "An Analysis of the War of Attrition and the All-Pay Auction," Journal of Economic Theory, Elsevier, vol. 72(2), pages 343-362, February. [Downloadable!] (restricted)
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  7. Jeremy Bulow & Paul Klemperer, 2002. "Prices and the Winner's Curse," RAND Journal of Economics, The RAND Corporation, vol. 33(1), pages 1-21, Spring.
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  8. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November. [Downloadable!] (restricted)
  9. 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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