2006/01/03 by M. Brozos-Vazquez, Miguel Brozos‐Vázquez, Brozos-Vazquez, M. +9
Computer Science · Economics, Econometrics and Finance · Mathematics · #00A69 #05C20 #62J15 #90D06 #Combinatorics (math.CO) #Data Management and Algorithms #Data Mining Algorithms and Applications #FOS: Mathematics #Game Theory and Voting Systems #General Mathematics (math.GM) #math.CO #math.GM #msc:00A69 #msc:05C20 #msc:62J15 #msc:90D06
paper · pdf · doi:10.48550/arxiv.math/0601053
12 pages
openalex publication_date 2006/01/03 · arxiv created 2006/12/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.