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

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  • Krishna, Vijay
  • Morgan, John

Abstract

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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Bibliographic Info

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

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Web page: http://www.elsevier.com/locate/inca/622869

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  1. Jeremy Bulow & Paul Klemperer, 1994. "Auctions vs. Negotiations," NBER Working Papers 4608, National Bureau of Economic Research, Inc.
  2. McAfee, R Preston & McMillan, John & Reny, Philip J, 1989. "Extracting the Surplus in the Common-Value Auction," Econometrica, Econometric Society, vol. 57(6), pages 1451-59, November.
  3. Paul Milgrom & Robert Weber, 1981. "Distributional Strategies for Games with Incomplete Information," Discussion Papers 428R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. John G. Riley & William Samuelson, 1979. "Optimal Auctions," UCLA Economics Working Papers 152, UCLA Department of Economics.
  5. 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 289-94, March.
  6. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
  7. Barry Nalebuff & John G. Riley, 1984. "Asymmetric Equilibrium in the War of Attrition," UCLA Economics Working Papers 317, UCLA Department of Economics.
  8. 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.
  9. 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.
  10. Fudenberg, Drew & Tirole, Jean, 1986. "A Theory of Exit in Duopoly," Econometrica, Econometric Society, vol. 54(4), pages 943-60, July.
  11. Becker, Gary S, 1983. "A Theory of Competition among Pressure Groups for Political Influence," The Quarterly Journal of Economics, MIT Press, vol. 98(3), pages 371-400, August.
  12. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-57, November.
  13. 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.
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