THE EXPECTED LIKELIHOOD OF TRANSITIVITY - A SURVEY

May developed an algebraic choice model to describe pairwise compariso ns from an empirical study. A probabilistic choice variation of May's model has also been developed. This study presents a survey of work th at considers the expected likelihood that a subject using the probabil istic model will have transitive responses for pairwise choices on a s et of three alternatives. Of particular interest is the impact that va rious factors that influence the probabilistic choice model have on th e expected likelihood of transitivity. These factors include the degre e of accuracy with which the subject perceives the attributes of the a lternatives, the number of attributes of comparison, and the consisten cy with which alternatives are ranked across attributes.