Donald Campbell () and
Jerry Kelly ()
Additional contact information Donald Campbell: Department of Economics, College of William and Mary
Jerry Kelly: Department of Economics, Syracuse University
Abstract:
The set of alternatives is infinite. If social welfare function f satisfies the Pareto criterion and there is a positive number β such that each pair of alternatives can be socially ordered without having to consult individual preference over a set with more than β alternatives then there are arbitrarily large finite subsets of X within which f is dictatorial when individual preferences are restricted to a rich subset of profiles.