Ranking Participants in Tournaments by means of Rating Functions
General Mathematics
2007-05-23 v2 Combinatorics
Abstract
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.
Cite
@article{arxiv.math/0601053,
title = {Ranking Participants in Tournaments by means of Rating Functions},
author = {M. Brozos-Vazquez and M. A. Campo-Cabana and J. C. Diaz-Ramos and J. Gonzalez-Diaz},
journal= {arXiv preprint arXiv:math/0601053},
year = {2007}
}
Comments
12 pages