The likelihood of a Condorcet winner in the logrolling setting

The purpose of this note is to compute the probability of logrolling for three different probabilistic cultures. The primary finding is that the restriction of preferences to be in accord with the condition of separable preferences creates enough additional structure among voters' preference rankings to create an increase in the likelihood that a Condorcet winner will exist with both IC and IAC-based scenarios. However this increase is limited and the probabilities remain close to the conventional probabilities of having a Condorcet winner when preferences are unrestricted.