We describe a Fourier-theoretic formula for the probability of rational outcomes for random profiles for a social choice function on three alternatives. Several applications are given.

The purpose of this paper is to examine the extent to which the concepts of individual and collective choice unsed in economic theory desribe "predictable" or "learnable" behavior. Given a set X of N alternatives, a choice function c is a mapping which assigns to nonempty subsets S of X an...