This book includes up-to-date contributions in the broadly defined area of probabilistic analysis of voting rules and decision mechanisms. Featuring papers from all fields of social choice and game theory, it presents probability arguments to allow readers to gain a better understanding of the...

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...

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...

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...