The finer structure of resolute, neutral, and anonymous social choice correspondences

摘要

When the number of alternatives exceeds the smallest prime dividing the number of individuals, all social choice functions satisfying resoluteness, neutrality, and anonymity (RNA rules) sometimes choose alternatives that everyone ranks near the bottom. When the number of individuals is divisible by two or more distinct primes, RNA rules only exist for a small (finite) number of values of the number of alternatives. (C) 2015 Elsevier B.V. All rights reserved.