Optimal seedings in elimination tournaments
We study an elimination tournament with heterogenous contestants whose ability is common-knowledge. Each pair-wise match is modeled as an all-pay auction where the winner gets the right to compete at the next round. Equilibrium efforts are in mixed strategies, yielding rather complex play dynamics: the endogenous win probabilities in each match depend on the outcome of other matches through the identity of the expected opponent in the next round. The designer can seed the competitors according to their ranks. For tournaments with four players we find optimal seedings with respect to three different criteria: 1) maximization of total effort in the tournament; 2) maximization of the probability of a final among the two top ranked teams; 3) maximization of the win probability for the top player. In addition, we find the seedings ensuring that higher ranked players have a higher probability to win the tournament. Finally, we compare the theoretical predictions with data from NCAA basketball tournaments.
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Volume (Year): 49 (2012)
Issue (Month): 1 (January)
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- Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-89, March.
- Konrad, Kai A., 2004.
"Bidding in hierarchies,"
European Economic Review,
Elsevier, vol. 48(6), pages 1301-1308, December.
- Konrad, Kai A., 2003.
"Bidding in hierarchies
[Das Bieten in Hierarchien]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2003-27, Social Science Research Center Berlin (WZB).
- Konrad, Kai A., 2003. "Bidding in hierarchies
- Klaassen, Franc J. G. M. & Magnus, Jan R., 2003.
"Forecasting the winner of a tennis match,"
European Journal of Operational Research,
Elsevier, vol. 148(2), pages 257-267, July.
- Sherwin Rosen, 1985.
"Prizes and Incentives in Elimination Tournaments,"
NBER Working Papers
1668, National Bureau of Economic Research, Inc.
- Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, vol. 109(458), pages 536-45, October.
- Baye, M.R. & Kovenock, D. & De Vries, C.G., 1991.
"The All-Pay Auction With Complete Information,"
Purdue University Economics Working Papers
1007, Purdue University, Department of Economics.
- Kovenock, D. & de Vries, C.G., 1995. "The All-Pay Auction with Complete Information," UFAE and IAE Working Papers 311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M. & Kovenock, D. & de Vries, C., 1990. "The All-Pay Auction with Complete Information," Discussion Paper 1990-51, Tilburg University, Center for Economic Research.
- 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.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers 9051, Tilburg - Center for Economic Research.
- Wärneryd, Karl, 1997.
"Distributional Conflict and Jurisdictional Organization,"
SSE/EFI Working Paper Series in Economics and Finance
173, Stockholm School of Economics.
- Warneryd, Karl, 1998. "Distributional conflict and jurisdictional organization," Journal of Public Economics, Elsevier, vol. 69(3), pages 435-450, September.
- Arye L. Hillman & John G. Riley, 1987.
"Politically Contestable Rents and Transfers,"
UCLA Economics Working Papers
452, UCLA Department of Economics.
- Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
- Amegashie, J Atsu, 1999. " The Design of Rent-Seeking Competitions: Committees, Preliminary and Final Contests," Public Choice, Springer, vol. 99(1-2), pages 63-76, April.
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