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The generalized Stackelberg equilibrium of the all-pay auction with complete information

  • Kai A. Konrad
  • Wolfgang Leininger

We characterize the equilibrium of the all-pay auction with general convex cost of effort and sequential effort choices. We consider a set of n players who are arbitrarily partitioned into a group of players who choose their efforts ’early’ and a group of players who choose ’late’. Only the player with the lowest cost of effort has a positive payoff in any equilibrium. This payoff depends on his own timing vis-a-vis the timing of others. We also show that the choice of timing can be endogenized, in which case the strongest player typically chooses ’late’, whereas all other players are indifferent with respect to their choice of timing. In the most prominent equilibrium the player with the lowest cost of effort wins the auction at zero aggregate cost.

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Paper provided by University of Dortmund, Department of Economics in its series Discussion Papers in Economics with number 05_07.

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Length: 14 pages
Date of creation: Sep 2005
Date of revision:
Handle: RePEc:mik:wpaper:05_07
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  1. Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers 8-92-1, Pennsylvania State - Department of Economics.
  2. Konrad, Kai A., 2001. "Investment in the absence of property rights: the role of incumbency advantages
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    ," Discussion Papers, Research Unit: Market Processes and Governance FS IV 01-18, Social Science Research Center Berlin (WZB).
  3. Richard Cornes & Roger Hartley, 2002. "Asymmetric Contests with General Technologies," Keele Economics Research Papers KERP 2002/22, Centre for Economic Research, Keele University.
  4. Michael R. Baye & Dan Kovenock & Casper G. de Vries, 2004. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Working Papers 2004-24, Indiana University, Kelley School of Business, Department of Business Economics and Public Policy.
  5. Kaplan, Todd R. & Luski, Israel & Wettstein, David, 2003. "Innovative activity and sunk cost," International Journal of Industrial Organization, Elsevier, vol. 21(8), pages 1111-1133, October.
  6. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  7. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
  8. Deneckere, R. & Kovenock, D. & Lee, R.E., 1988. "A Model of Price Leadership Based on Consumer Loyalty," Purdue University Economics Working Papers 947, Purdue University, Department of Economics.
  9. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  10. Muller, Holger M & Warneryd, Karl, 2001. "Inside versus Outside Ownership: A Political Theory of the Firm," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 527-41, Autumn.
  11. Baik, Kyung H & Shogren, Jason F, 1992. "Strategic Behavior in Contests: Comment," American Economic Review, American Economic Association, vol. 82(1), pages 359-62, March.
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