The Probability of Condorcet Cycles and Super-Majority Rules

H. CRES, Y. Balasko

Journal of Economic Theory

août 1997, vol. 75, n°2, pp.437-470

Départements : Finance

Majority voting aggregates individual preference profiles into a binary relation on the set of alternatives. Condorcet cycles are cycles of the aggregated binary relation. We show that the relative volume of the subset of the (n!-1)-simplex that represents profile distributions such that the aggregated preferences display Condorcet cycles is a decreasing Function of the super majority level tau bounded by the expression n!(1-tau/0.4714)(n!).This expression shows that Condorcet cycles become rare events for super majority rules larger than 53%.