Optimal Seedings in Elimination Tournaments
AbstractWe 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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Bibliographic InfoPaper provided by Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich in its series Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems with number 140.
Date of creation: Jul 2003
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Elimination tournaments; Seedings; All-Pay Auctions;
Other versions of this item:
- D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
- D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
- D44 - Microeconomics - - Market Structure and Pricing - - - Auctions
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- Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, American Economic Association, vol. 88(1), pages 276-89, March.
- Kovenock, D. & de Vries, C.G., 1995.
"The All-Pay Auction with Complete Information,"
UFAE and IAE Working Papers, Unitat de Fonaments de l'AnÃ lisi EconÃ²mica (UAB) and Institut d'AnÃ lisi EconÃ²mica (CSIC)
311.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Baye, M. & Kovenock, D. & Vries, C. de, 1990. "The All-Pay Auction with Complete Information," Discussion Paper, Tilburg University, Center for Economic Research 1990-51, Tilburg University, Center for Economic Research.
- Baye, M.R. & Kovenock, D. & De Varies, C.G., 1990. "The All-Pay Auction With Complete Information," Papers, Tilburg - Center for Economic Research 9051, Tilburg - Center for Economic Research.
- Baye, M.R. & Kovenock, D. & De Vries, C., 1992. "The All-Pay Auction with Complete Information," Papers, Pennsylvania State - Department of Economics 8-92-1, Pennsylvania State - Department of Economics.
- 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.
- Arye L. Hillman & John G. Riley, 1987.
"Politically Contestable Rents and Transfers,"
UCLA Economics Working Papers, UCLA Department of Economics
452, UCLA Department of Economics.
- Klaassen, Franc J. G. M. & Magnus, Jan R., 2003.
"Forecasting the winner of a tennis match,"
European Journal of Operational Research, Elsevier,
Elsevier, vol. 148(2), pages 257-267, July.
- Klaassen, F.J.G.M. & Magnus, J.R., 2001. "Forecasting the Winner of a Tennis Match," Discussion Paper, Tilburg University, Center for Economic Research 2001-38, Tilburg University, Center for Economic Research.
- Konrad, Kai A., 2004.
"Bidding in hierarchies,"
European Economic Review, Elsevier,
Elsevier, vol. 48(6), pages 1301-1308, December.
- Konrad, Kai A., 2003. "Bidding in hierarchies," Discussion Papers, Research Unit: Market Processes and Governance SP II 2003-27, Social Science Research Center Berlin (WZB).
- Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, Elsevier, vol. 90(6-7), pages 1073-1114, August.
- Wärneryd, Karl, 1997.
"Distributional Conflict and Jurisdictional Organization,"
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, Elsevier, vol. 69(3), pages 435-450, September.
- Rosen, Sherwin, 1986.
"Prizes and Incentives in Elimination Tournaments,"
American Economic Review, American Economic Association,
American Economic Association, vol. 76(4), pages 701-15, September.
- Gradstein, Mark & Konrad, Kai A, 1999. "Orchestrating Rent Seeking Contests," Economic Journal, Royal Economic Society, Royal Economic Society, vol. 109(458), pages 536-45, October.
- Amegashie, J Atsu, 1999. " The Design of Rent-Seeking Competitions: Committees, Preliminary and Final Contests," Public Choice, Springer, Springer, vol. 99(1-2), pages 63-76, April.
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