The Predictive Power of Noisy Round-Robin Tournaments
The round-robin tournament format for N players is a scheme that matches players with one another in all possible N(N - 1)/2 pairwise comparisons. A noisy round-robin tournament adds the possibility of upsets, or noise, and hence reduces the power of the tournament to reveal the true ranking of the players. In this article we study theoretically (analytically and by way of computational simulations) the predictive power of noisy round-robin tournaments for three prominent distributions of players’ abilities, as a function of the level of noise and the number of players. At first sight, some of our results (e.g., non-monotonicity as a function of the number of players N, which makes some ranges of N non-optimal) are quite counterintuitive but should be of help to a tournament designer who tries to maximize, or maybe minimize, the probability of the best player winning.
|Date of creation:||Sep 2004|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: (+420) 224 005 123
Fax: (+420) 224 005 333
Web page: http://www.cerge-ei.cz
More information through EDIRC
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.:
- Alvin E. Roth, 2002. "The Economist as Engineer: Game Theory, Experimentation, and Computation as Tools for Design Economics," Econometrica, Econometric Society, vol. 70(4), pages 1341-1378, July.
- Green, Jerry R & Stokey, Nancy L, 1983.
"A Comparison of Tournaments and Contracts,"
Journal of Political Economy,
University of Chicago Press, vol. 91(3), pages 349-64, June.
- Jerry R. Green & Nancy L. Stokey, 1982. "A Comparison of Tournaments and Contracts," NBER Working Papers 0840, National Bureau of Economic Research, Inc.
- Green, Jerry & Stokey, Nancy, 1983. "A Comparison of Tournaments and Contracts," Scholarly Articles 3203644, Harvard University Department of Economics.
- Hvide, H.K., 1999.
"Tournament Rewards and Risk Taking,"
32-99, Tel Aviv.
- Hans K. Hvide, 2000. "Tournament Rewards and Risk Taking," Econometric Society World Congress 2000 Contributed Papers 0163, Econometric Society.
- 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.
- Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-90, September.
- Reed, William J., 2001. "The Pareto, Zipf and other power laws," Economics Letters, Elsevier, vol. 74(1), pages 15-19, December.
- Jonathan Levin & Barry Nalebuff, 1995. "An Introduction to Vote-Counting Schemes," Journal of Economic Perspectives, American Economic Association, vol. 9(1), pages 3-26, Winter.
- Dmitry Ryvkin, 2005. "The Predictive Power of Noisy Elimination Tournaments," CERGE-EI Working Papers wp252, The Center for Economic Research and Graduate Education - Economics Institute, Prague.
When requesting a correction, please mention this item's handle: RePEc:cer:papers:wp236. See general 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: (Jana Koudelkova)
If references are entirely missing, you can add them using this form.