TY - JOUR
T1 - The uniform rule with several commodities
T2 - A generalization of Sprumont's characterization
AU - Adachi, Tsuyoshi
PY - 2010/11/20
Y1 - 2010/11/20
N2 - This paper considers the problem of allocating multiple divisible commodities among a group of agents with single-peaked preferences. We show that the uniform rule is the only allocation rule that satisfies strategy-proofness, envy-freeness, and same-sidedness: the third axiom is a weak efficiency condition that is equivalent to Pareto efficiency in the single-commodity case. Therefore, this result generalizes the characterization of the uniform rule by Sprumont (1991. Econometrica 59 (2), 509-519) in the single-commodity case: it is the only rule satisfying strategy-proofness, envy-freeness, and Pareto efficiency.
AB - This paper considers the problem of allocating multiple divisible commodities among a group of agents with single-peaked preferences. We show that the uniform rule is the only allocation rule that satisfies strategy-proofness, envy-freeness, and same-sidedness: the third axiom is a weak efficiency condition that is equivalent to Pareto efficiency in the single-commodity case. Therefore, this result generalizes the characterization of the uniform rule by Sprumont (1991. Econometrica 59 (2), 509-519) in the single-commodity case: it is the only rule satisfying strategy-proofness, envy-freeness, and Pareto efficiency.
KW - Multiple divisible commodities
KW - Single-peaked preferences
KW - Strategy-proofness
KW - Uniform rule
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U2 - 10.1016/j.jmateco.2010.08.019
DO - 10.1016/j.jmateco.2010.08.019
M3 - Article
AN - SCOPUS:78649766482
SN - 0304-4068
VL - 46
SP - 952
EP - 964
JO - Journal of Mathematical Economics
JF - Journal of Mathematical Economics
IS - 6
ER -