The probability of intransitivity of pairwise comparisons in individual preference

Abstract

This study considers a model for the method by which an individual determines preference in pairwise comparisons on the basis of multiple attributes of comparison. The model is based on earlier work, by Kenneth May, that attempted to explain empirical results on pairwise comparisons. May's model is used to obtain estimates of the probability that an individual's complete set of pairwise responses is transitive. Results indicate that, with this model of preference determination, intransitivity should be expected to occur regularly in an individual's pairwise comparisons. © 1989.