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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
Bibliographic InfoArticle provided by Springer in its journal Economic Theory.
Volume (Year): 49 (2012)
Issue (Month): 1 (January)
Contact details of provider:
Web page: http://link.springer.de/link/service/journals/00199/index.htm
Other versions of this item:
- Groh, Christian & Moldovanu, Benny & Sela, Aner & Sunde, Uwe, 2003. "Optimal Seedings in Elimination Tournaments," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 140, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- 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
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- 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.
- Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996.
"The all-pay auction with complete information (*),"
Economic Theory, Springer,
Springer, vol. 8(2), pages 291-305.
- 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.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.
- 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.
- 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).
- 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.
- 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.
- WÃ¤rneryd, 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, vol. 69(3), pages 435-450, September.
- 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.
- 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.
- 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.
- Arye L. Hillman & John G. Riley, 1987.
"Politically Contestable Rents and Transfers,"
UCLA Economics Working Papers
452, UCLA Department of Economics.
- Sherwin Rosen, 1985.
"Prizes and Incentives in Elimination Tournaments,"
NBER Working Papers
1668, National Bureau of Economic Research, Inc.
This item has more than 25 citations. To prevent cluttering this page, these citations are listed on a separate page. reading list or among the top items on IDEAS.Access and download statisticsgeneral information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Guenther Eichhorn) or (Christopher F Baum).
If references are entirely missing, you can add them using this form.