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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 CESifo Group Munich in its series CESifo Working Paper Series with number 1609.

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Date of creation: 2005
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Handle: RePEc:ces:ceswps:_1609
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  1. Baye, M.R. & Kovenock D. & De Vries, C.G., 2000. "Comparative Analysis of Litigation Systems: an Auction-Theoretic Approach," Purdue University Economics Working Papers 1137, Purdue University, Department of Economics.
  2. Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
  3. 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.
  4. 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.
  5. Maskin, Eric & Tirole, Jean, 2001. "Markov Perfect Equilibrium: I. Observable Actions," Journal of Economic Theory, Elsevier, vol. 100(2), pages 191-219, October.
  6. 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.
  7. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer, vol. 26(4), pages 923-946, November.
  8. Arye L. Hillman & John G. Riley, 1987. "Politically Contestable Rents and Transfers," UCLA Economics Working Papers 452, UCLA Department of Economics.
  9. Deneckere, Raymond J & Kovenock, Dan & Lee, Robert, 1992. "A Model of Price Leadership Based on Consumer Loyalty," Journal of Industrial Economics, Wiley Blackwell, vol. 40(2), pages 147-56, June.
  10. 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.
  11. Arye Hillman & Dov Samet, 1987. "Dissipation of contestable rents by small numbers of contenders," Public Choice, Springer, vol. 54(1), pages 63-82, January.
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