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An Analysis of the War of Attrition and the All-Pay Auction

Listed author(s):
  • Krishna, Vijay
  • Morgan, John

We study the war of attrition and the all-pay auction when players' signals are affiliated and symmetrically distributed. We (a) find sufficient conditions for the existence of symmetric monotonic equilibrium bidding strategies; and (b) examine the performance of these auction forms in terms of the expected revenue accruing to the seller. Under our conditions the war of attrition raises greater expected revenue than all other known sealed bid auction forms.

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File URL: http://www.sciencedirect.com/science/article/pii/S0022-0531(96)92208-5
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Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 72 (1997)
Issue (Month): 2 (February)
Pages: 343-362

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Handle: RePEc:eee:jetheo:v:72:y:1997:i:2:p:343-362
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622869

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  1. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1993. "Rigging the Lobbying Process: An Application of the All-Pay Auction," American Economic Review, American Economic Association, vol. 83(1), pages 289-294, March.
  2. Erwin Amann & Wolfgang Leininger, 1995. "Expected revenue of all-pay and first-price sealed-bid auctions with affiliated signals," Journal of Economics, Springer, vol. 61(3), pages 273-279, October.
  3. Milgrom, Paul R & Weber, Robert J, 1982. "A Theory of Auctions and Competitive Bidding," Econometrica, Econometric Society, vol. 50(5), pages 1089-1122, September.
  4. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  5. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
  6. Bulow, Jeremy I. & Klemperer, Paul, 1994. "Auctions vs. Negotiations," CEPR Discussion Papers 924, C.E.P.R. Discussion Papers.
  7. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
  8. Barry Nalebuff & John G. Riley, 1984. "Asymmetric Equilibrium in the War of Attrition," UCLA Economics Working Papers 317, UCLA Department of Economics.
  9. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-960, July.
  10. Wilson, Robert, 1992. "Strategic analysis of auctions," Handbook of Game Theory with Economic Applications,in: R.J. Aumann & S. Hart (ed.), Handbook of Game Theory with Economic Applications, edition 1, volume 1, chapter 8, pages 227-279 Elsevier.
  11. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
  12. McAfee, R Preston & McMillan, John & Reny, Philip J, 1989. "Extracting the Surplus in the Common-Value Auction," Econometrica, Econometric Society, vol. 57(6), pages 1451-1459, November.
  13. Gary S. Becker, 1983. "A Theory of Competition Among Pressure Groups for Political Influence," The Quarterly Journal of Economics, Oxford University Press, vol. 98(3), pages 371-400.
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