On the Continuous Equilibria of Affiliated-Value, All-Pay Auctions with Private Budget Constraints, Third Version
AbstractWe consider all-pay auctions in the presence of interdependent, affiliated valuations and private budget constraints. For the sealed-bid, all-pay auction we characterize a symmetric equilibrium in continuous strategies for the case of N bidders. Budget constraints encourage more aggressive bidding among participants with large endowments and intermediate valuations. We extend our results to the war of attrition where we show that budget constraints lead to a uniform amplification of equilibrium bids among bidders with sufficient endowments. An example shows that with both interdependent valuations and private budget constraints, a revenue ranking between the two auction formats is generally not possible. Equilibria with discontinuous bidding strategies are discussed.
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Bibliographic InfoPaper provided by Penn Institute for Economic Research, Department of Economics, University of Pennsylvania in its series PIER Working Paper Archive with number 14-001.
Length: 57 pages
Date of creation: 23 Apr 2012
Date of revision: 10 Jan 2014
All-Pay Auction; War of Attrition; Budget Constraints; Common Values; Private Values; Affiliation; Contests;
Find related papers by JEL classification:
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Yeon-Koo Che & Ian Gale, 2005.
"Revenue Comparisons for Auctions when Bidders Have Arbitrary Types,"
NajEcon Working Paper Reviews
- Che, Yeon-Koo & Gale, Ian, 2006. "Revenue comparisons for auctions when bidders have arbitrary types," Theoretical Economics, Econometric Society, vol. 1(1), pages 95-118, March.
- Yeon-Koo Che & Ian Gale, 2005. "Revenue comparisons for auctions when bidders have arbitrary types," Discussion Papers 0506-03, Columbia University, Department of Economics.
- Che, Yeon-Koo & Gale, Ian, 2006. "Revenue Comparisons for Auctions When Bidders Have Arbitrary Types," MPRA Paper 6102, University Library of Munich, Germany.
- Che, Yeon-Koo & Gale, Ian, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Wiley Blackwell, vol. 65(1), pages 1-21, January.
- Fang, Hanming & Parreiras, Sergio O., 2002. "Equilibrium of Affiliated Value Second Price Auctions with Financially Constrained Bidders: The Two-Bidder Case," Games and Economic Behavior, Elsevier, vol. 39(2), pages 215-236, May.
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