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Título

A Note on the Separability Principle in Economies with Single-Peaked Preferences

AutorKlaus, Bettina
Palabras claveFair division with single-peaked preferences
Separability
Duplication-invariance
Uniform rule
Fecha de publicación14-nov-2005
SerieUFAE and IAE Working Papers
601.04
ResumenWe consider the problem of allocating an infinitely divisible commodity among a group of agents with single-peaked preferences. A rule that has played a central role in the analysis of the problem is the so-called uniform rule. Chun (2001) proves that the uniform rule is the only rule satisfying Pareto optimality, no-envy, separability, and continuity (with respect to the social endowment). We obtain an alternative characterization by using a weak replication-invariance condition, called duplication-invariance, instead of continuity. Furthermore, we prove that Pareto optimality, equal division lower bound, and separability imply no-envy. Using this result, we strengthen one of Chun's (2001) characterizations of the uniform rule by showing that the uniform rule is the only rule satisfying Pareto optimality, equal division lower bound, separability, and either continuity or duplication-invariance.
URIhttp://hdl.handle.net/10261/1805
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