Abstract

Assume a finite integer l≥2 and a social choice correspondence Φ mapping each (p, Z) into a nonempty subset Φ (p, Z) of Z, where p is a profile of individual preferences and Z is a set of outcomes of cardinality l or more. Suppose that Φ satisfies Arrow's choice axiom, independence of infeasible alternatives, and the Pareto criterion. If the preference domain is the family of profiles of classical economic preferences over the space of allocations of public goods, then Φ is dictatorial.

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