Formally, the model considers the probability that a candidate is the antecedent as the probability that the candidate is preferred over all the other competing candidates.
that is: Assuming that the preference between C k and C i is independent of the preference between C k and the candidates other than C i , we have: : this suggests that the probability that a candidate C k is the antecedent can be estimated using the classification results on the set of instances describing C k and each of the other competing candidates.