A Fourier-Theoretic Perspective for the Condorcet Paradox and Arrow's Theorem

Authors: 
Gil Kalai
Abstract: 

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.

Date: 
November, 2001
Published in: 
Advances in Applied Mathematics 29 (2002), 412-426
Number: 
280