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All-Pay Auctions with Handicaps

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  • Minoru Kitahara
  • Ryo Ogawa

Abstract

An all-pay auction in which the winner is determined according to the sum of the bid and the handicap, the latter of which is endowed to the players, is analyzed. The bidding strategy in an equilibrium is explicitly derived as a "piecewise affine transformation" of the equilibrium strategy in the all-pay auction without handicaps. Allocation rule implemented in the equilibrium and revenue comparison are also discussed.

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Bibliographic Info

Paper provided by Institute of Social and Economic Research, Osaka University in its series ISER Discussion Paper with number 0781.

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Date of creation: Mar 2010
Date of revision: Jun 2010
Handle: RePEc:dpr:wpaper:0781

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  1. Ando, Munetomo, 2004. "Division of a contest with identical prizes," Journal of the Japanese and International Economies, Elsevier, vol. 18(2), pages 282-297, June.
  2. Cheng, Harrison, 2006. "Ranking sealed high-bid and open asymmetric auctions," Journal of Mathematical Economics, Elsevier, vol. 42(4-5), pages 471-498, August.
  3. Ron Siegel, 2009. "All-Pay Contests," Econometrica, Econometric Society, vol. 77(1), pages 71-92, 01.
  4. Che, Yeon-Koo & Gale, Ian, 2006. "Caps on Political Lobbying: Reply," MPRA Paper 6097, University Library of Munich, Germany.
  5. Yeon-Koo Che & Ian Gale, 2000. "Optimal Design of Research Contests," Econometric Society World Congress 2000 Contributed Papers 1784, Econometric Society.
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  8. Moldovanu, Benny & Sela, Aner, 1999. "The Optimal Allocation of Prizes in Contests," Sonderforschungsbereich 504 Publications 99-75, Sonderforschungsbereich 504, Universität Mannheim & Sonderforschungsbereich 504, University of Mannheim.
  9. Maskin, Eric & Riley, John, 2000. "Equilibrium in Sealed High Bid Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 439-54, July.
  10. Todd R. Kaplan & David Wettstein, 2006. "Caps on Political Lobbying: Comment," American Economic Review, American Economic Association, vol. 96(4), pages 1351-1354, September.
  11. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
  12. Parreiras, Sérgio O. & Rubinchik, Anna, 2010. "Contests with three or more heterogeneous agents," Games and Economic Behavior, Elsevier, vol. 68(2), pages 703-715, March.
  13. 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.
  14. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
  15. 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.
  16. Marshall Robert C. & Meurer Michael J. & Richard Jean-Francois & Stromquist Walter, 1994. "Numerical Analysis of Asymmetric First Price Auctions," Games and Economic Behavior, Elsevier, vol. 7(2), pages 193-220, September.
  17. Jackson, Matthew O. & Jeroen Swinkels, 2004. "Existence of Equilibrium in Single and Double Private Value Auctions," Working Papers 1192, California Institute of Technology, Division of the Humanities and Social Sciences.
  18. Lebrun, Bernard, 1996. "Existence of an Equilibrium in First Price Auctions," Economic Theory, Springer, vol. 7(3), pages 421-43, April.
  19. Bernard Lebrun, 1996. "Existence of an equilibrium in first price auctions (*)," Economic Theory, Springer, vol. 7(3), pages 421-443.
  20. repec:ags:afjare:141665 is not listed on IDEAS
  21. Maskin, Eric & Riley, John, 2000. "Asymmetric Auctions," Review of Economic Studies, Wiley Blackwell, vol. 67(3), pages 413-38, July.
  22. Noussair, Charles & Silver, Jonathon, 2006. "Behavior in all-pay auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 55(1), pages 189-206, April.
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