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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Economic theory and game theory
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- 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 2011-116, Tilburg University, Center for Economic Research.
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