2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/107381In 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.12 pagesGeneral MathematicsCombinatorics00A69, 05C20, 90D06, 62J15text