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When Bidding More is Not Enough: All-Pay Auctions with Handicaps

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Author Info

  • Eberhard Feess
  • Gerd Muehlheusser
  • Markus Walzl

Abstract

We consider a standard two-player all-pay auction with private values, where the valuation for the object is private information to each bidder. The crucial feature is that one bidder is favored by the allocation rule in the sense that he need not bid as much as the other bidder to win the auction. Analogously, the other bidder is handicapped by the rule as overbidding the rival may not be enough to win the auction. Clearly, this has important implications on equilibrium behavior. We fully characterize the equilibrium strategies for this auction format and show that there exists a unique pure strategy Bayesian Nash Equilibrium.

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Bibliographic Info

Paper provided by University of Bonn, Germany in its series Bonn Econ Discussion Papers with number bgse14_2002.

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Length: 23
Date of creation: Jun 2002
Date of revision:
Handle: RePEc:bon:bonedp:bgse14_2002

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Postal: Bonn Graduate School of Economics, University of Bonn, Adenauerallee 24 - 26, 53113 Bonn, Germany
Fax: +49 228 73 6884
Web page: http://www.bgse.uni-bonn.de

Related research

Keywords: All-pay auction; contest; asymmetric allocation rule; rent-seeking; asymmetric information;

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References

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  1. Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Konrad, Kai A, 2001. "Investment in the Absence of Property Rights: The Role of Incumbency Advantages," CEPR Discussion Papers 3050, C.E.P.R. Discussion Papers.
  3. Amann, Erwin & Leininger, Wolfgang, 1996. "Asymmetric All-Pay Auctions with Incomplete Information: The Two-Player Case," Games and Economic Behavior, Elsevier, vol. 14(1), pages 1-18, May.
  4. Athey, S., 1997. "Sigle Crossing Properties and the Existence of Pure Strategy Equilibria in Games of Incomplete Information," Working papers 97-11, Massachusetts Institute of Technology (MIT), Department of Economics.
  5. Antonio Bernardo & Eric L. Talley & Ivo Welch, 1999. "A Theory of Legal Presumptions," Yale School of Management Working Papers ysm118, Yale School of Management.
  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.
  7. Paul Milgrom & Robert J. Weber, 1981. "A Theory of Auctions and Competitive Bidding," Discussion Papers 447R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  8. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  9. Lizzeri, Alessandro & Persico, Nicola, 2000. "Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price," Games and Economic Behavior, Elsevier, vol. 30(1), pages 83-114, January.
  10. repec:wop:humbsf:2000-72 is not listed on IDEAS
  11. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  12. Clark, Derek J. & Riis, Christian, 2000. "Allocation efficiency in a competitive bribery game," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 109-124, May.
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Cited by:
  1. Konrad, Kai A., 2007. "Strategy in contests: an introduction," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, Social Science Research Center Berlin (WZB).

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