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Ranking participants in tournaments by means of rating functions


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  • Brozos-Vázquez, Miguel
  • Campo-Cabana, Marco Antonio
  • Díaz-Ramos, José Carlos
  • González-Díaz, Julio


In 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 Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 44 (2008)
Issue (Month): 11 (December)
Pages: 1246-1256

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Handle: RePEc:eee:mateco:v:44:y:2008:i:11:p:1246-1256

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Keywords: Tournament rankings Decision making Scoring methods;


References listed on IDEAS
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  1. Ignacio Palacios-Huerta & Oscar Volij, 2002. "The Measurement of Intellectual Influence," Economic theory and game theory, Oscar Volij 015, Oscar Volij.
  2. AMIR, Rabah, 2002. "Impact-adjusted citations as a measure of journal quality," CORE Discussion Papers, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE) 2002074, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  3. Michael Stob, 1985. "Note---Rankings from Round-Robin Tournaments," Management Science, INFORMS, INFORMS, vol. 31(9), pages 1191-1195, September.
  4. 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.
  5. Stephen T. Goddard, 1983. "Ranking in Tournaments and Group Decisionmaking," Management Science, INFORMS, INFORMS, vol. 29(12), pages 1384-1392, December.
  6. Giora Slutzki & Oscar Volij, 2005. "Ranking participants in generalized tournaments," International Journal of Game Theory, Springer, Springer, vol. 33(2), pages 255-270, 06.
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Cited by:
  1. Julio González-Díaz & 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.
  2. 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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