The Condorcet winner in an election is a candidate that could defeat each other candidate in a series of pairwise majority rule elections. The Condorcet efficiency of a voting rule is the conditional probability that the voting rule will elect the Condorcet winner, given that such a winner...

This monograph studies voting procedures based on the probability that paradoxical outcomes like the famous Condorcet Paradox might exist. It is well known that hypothetical examples of many different paradoxical election outcomes can be developed, but this analysis examines factors that are...

Voting Paradoxes and Their Probabilities -- Condorcet's Paradox and Group Coherence -- Other Incompability Paradoxes -- Other Voting Paradoxes -- Condorcet Efficiency and Social Homogeneity -- Coherence and the Efficiency Hypothesis -- Other Characteristics of Voting Rules -- The Significance of...

We report in this note some results on the theoretical likelihood of Condorcet's Other Paradox in three alternative elections. This paradox occurs when we have a voting situation such that no Wheighted Scoring Rule (WSR) will select the Pairwise Majority Rule Winner as the WSR winner. We...