Auctions in which Losers Set the Price
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 k-th 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 k-th 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
|Date of creation:||Jul 2006|
|Date of revision:||Mar 2007|
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- Dirk Bergemann & Stephen Morris, 2003.
"Robust Mechanism Design,"
Cowles Foundation Discussion Papers
1421R, Cowles Foundation for Research in Economics, Yale University, revised Apr 2004.
- Stephen Morris & Dirk Bergemann, 2004. "Robust Mechanism Design," Yale School of Management Working Papers ysm380, Yale School of Management.
- Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Cowles Foundation Discussion Papers 1421, Cowles Foundation for Research in Economics, Yale University.
- Dirk Bergemann & Stephen Morris, 2003. "Robust Mechanism Design," Levine's Bibliography 666156000000000035, UCLA Department of Economics.
- Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," NajEcon Working Paper Reviews 666156000000000593, www.najecon.org.
- Kagel, John H & Levin, Dan, 1993.
"Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders,"
Royal Economic Society, vol. 103(419), pages 868-79, July.
- Kagel, J.H. & Levin, D., 1988. "Independent Private Value Auctions: Bidder Behavior In First, Second And Third-Price Auctions With Varying Numbers Of Bidders," Papers 13, Houston - Department of Economics.
- Giuseppe Lopomo, 1995.
"Optimality and Robustness of the English Auction,"
95-03, New York University, Leonard N. Stern School of Business, Department of Economics.
- 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.
- 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.
- Vijay Krishna & John Morgan, 1994. "An Analysis of the War of Attrition and the All-Pay Auction," Game Theory and Information 9409002, EconWPA.
- Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-43, June.
- Paul Klemperer, 2004.
"Auctions: Theory and Practice,"
2004-W09, Economics Group, Nuffield College, University of Oxford.
- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
Econometric Society, vol. 50(5), pages 1089-1122, September.
- Wolfstetter, Elmar, 1995. "Third- and higher-price auctions," SFB 373 Discussion Papers 1996,3, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
- Paul Klemperer, 2004. "Introduction to Auctions: Theory and Practice," Introductory Chapters, in: Auctions: Theory and Practice Princeton University Press.
- 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.
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