Ranking Participants in Tournaments by means of Rating Functions

Details Ranking Participants in Tournaments by means of Rating Functions Ranking Participants in Tournaments by means of Rating Functions

2006-01-03

arxiv.org/abs/math/0601053v2

Mathematics

General Mathematics

12 pages

Scientific paper

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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