, Volume 11, Issue 2, pp 131-136

An alternative characterization of the uniform rule

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We consider the problem of allocating some amount of a commodity among a group of agents with single-peaked preferences. We show that the uniform rule is the only rule satisfying equal treatment of equals, Pareto efficiency, and strategy-proofness. This characterization strengthens two interesting results due to Sprumont (1991). Our method of proof involves only elementary arguments.

I wish to thank Professor William Thomson for his enormous efforts in supervision. I am grateful to Professor Marcus Berliant and Hideo Konishi for their useful remarks and especially to an anonymous referee for insightful comments. All remaining errors are my own responsibility.