Ranking Participants in Tournaments by means of Rating Functions

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dc.creatorBrozos-Vazquez, M.
dc.creatorCampo-Cabana, M. A.
dc.creatorDiaz-Ramos, J. C.
dc.creatorGonzalez-Diaz, J.
dc.date2006-01-03
dc.date2006-12-02
dc.date.accessioned2026-07-07T06:58:30Z
dc.date.available2026-07-07T06:58:30Z
dc.descriptionIn 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.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/math/0601053
dc.identifierhttp://arxiv.org/abs/math/0601053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/107381
dc.subjectGeneral Mathematics
dc.subjectCombinatorics
dc.subject00A69, 05C20, 90D06, 62J15
dc.titleRanking Participants in Tournaments by means of Rating Functions
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