Ranking participants in tournaments by means of rating functions
AbstractIn this paper we bring a novel approach to the theory of tournament rankings. We combine two different theories that are widely used to establish rankings of populations after a given tournament. First, we use the statistical approach of paired comparison analysis to define the performance of a player in a natural way. Then, we determine a ranking (and rating) of the players in the given tournament. Finally, we show, among other properties, that the new ranking method is the unique one satisfying a natural consistency requirement.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Mathematical Economics.
Volume (Year): 44 (2008)
Issue (Month): 11 (December)
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Web page: http://www.elsevier.com/locate/jmateco
Tournament rankings Decision making Scoring methods;
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- Ignacio Palacios-Huerta & Oscar Volij, 2002.
"The Measurement of Intellectual Influence,"
Economic theory and game theory, Oscar Volij
015, Oscar Volij.
- AMIR, Rabah, 2002. "Impact-adjusted citations as a measure of journal quality," CORE Discussion Papers, UniversitÃ© catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2002074, UniversitÃ© catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Michael Stob, 1985. "Note---Rankings from Round-Robin Tournaments," Management Science, INFORMS, INFORMS, vol. 31(9), pages 1191-1195, September.
- Iqbal Ali & Wade D. Cook & Moshe Kress, 1986. "On the Minimum Violations Ranking of a Tournament," Management Science, INFORMS, INFORMS, vol. 32(6), pages 660-672, June.
- Stephen T. Goddard, 1983. "Ranking in Tournaments and Group Decisionmaking," Management Science, INFORMS, INFORMS, vol. 29(12), pages 1384-1392, December.
- Giora Slutzki & Oscar Volij, 2005. "Ranking participants in generalized tournaments," International Journal of Game Theory, Springer, Springer, vol. 33(2), pages 255-270, 06.
- Julio GonzÃ¡lez-DÃaz & Ruud Hendrickx & Edwin Lohmann, 2014. "Paired comparisons analysis: an axiomatic approach to ranking methods," Social Choice and Welfare, Springer, Springer, vol. 42(1), pages 139-169, January.
- Gonzalez-Diaz, J. & Hendrickx, R.L.P. & Lohmann, E.R.M.A., 2011. "Paired Comparisons Analysis: An Axiomatic Approach to Rankings in Tournaments," Discussion Paper, Tilburg University, Center for Economic Research 2011-116, Tilburg University, Center for Economic Research.
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