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Players with Fixed Resources in Elimination Tournaments

  • Alexander Matros

We consider two-round elimination tournaments where players have fixed resources instead of cost functions. Two approaches are suggested. If the players have the same resources and a success function is stochastic, then players always spend more resources in the first than in the second round in a symmetric equilibrium. Equal resource allocation between two rounds takes place only in the winner-take-all case. However, if the players have independent private resources and the success function is deterministic, then every player spends at least one third of his resources in the first round. The players spend exactly one third of their resources in the winner-take-all case. Applications for career paths, elections, and sports are discussed

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 295.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:295
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  1. Ronald G. Ehrenberg & Michael L. Bognanno, 1988. "Do Tournaments Have Incentive Effects?," NBER Working Papers 2638, National Bureau of Economic Research, Inc.
  2. Benny Moldovanu & Aner Sela, 2001. "The Optimal Allocation of Prizes in Contests," American Economic Review, American Economic Association, vol. 91(3), pages 542-558, June.
  3. Dixit, Avinash K, 1987. "Strategic Behavior in Contests," American Economic Review, American Economic Association, vol. 77(5), pages 891-98, December.
  4. Knoeber, Charles R & Thurman, Walter N, 1994. "Testing the Theory of Tournaments: An Empirical Analysis of Broiler Production," Journal of Labor Economics, University of Chicago Press, vol. 12(2), pages 155-79, April.
  5. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-15, September.
  6. 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.
  7. Onsong Shin & Michael R. Baye, 1999. "Strategic Behavior in Contests: Comment," American Economic Review, American Economic Association, vol. 89(3), pages 691-693, June.
  8. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-64, October.
  9. Rosen, Sherwin, 1981. "The Economics of Superstars," American Economic Review, American Economic Association, vol. 71(5), pages 845-58, December.
  10. Avinash Dixit, 1999. "Strategic Behavior in Contests: Reply," American Economic Review, American Economic Association, vol. 89(3), pages 694-694, June.
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