A characterization of the uniform rule with several commodities and agents |
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Authors: | Shuhei Morimoto Shigehiro Serizawa Stephen Ching |
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Affiliation: | 1. Institute of Social and Economic Research, Osaka University, 6-1, Mihogaoka, Ibaraki, 567-0047, Japan 2. School of Economics and Finance, The University of Hong Kong, Pokfulam Road, Pokfulam, Hong Kong
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Abstract: | We consider a problem of allocating infinitely divisible commodities among a group of agents. More specifically, there are several commodities to be allocated and agents have continuous, strictly convex, and separable preferences. We establish that a rule satisfies strategy-proofness, unanimity, weak symmetry, and nonbossiness if and only if it is the uniform rule. This result extends to the class of continuous, strictly convex, and multidimensional single-peaked preferences. |
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