AI RESEARCH
Pairwise Comparisons without Stochastic Transitivity: Model, Theory and Applications
arXiv CS.LG
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ArXi:2501.07437v2 Announce Type: replace-cross Most statistical models for pairwise comparisons, including the Bradley-Terry (BT) and Thurstone models and many extensions, make a relatively strong assumption of stochastic transitivity. This assumption imposes the existence of an unobserved global ranking among all the players/teams/items and monotone constraints on the comparison probabilities implied by the global ranking.