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

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dc.creator Klaus, Bettina
dc.date 2007-11-05T11:29:50Z
dc.date 2007-11-05T11:29:50Z
dc.date 2005-11-14
dc.date.accessioned 2017-01-31T00:57:56Z
dc.date.available 2017-01-31T00:57:56Z
dc.identifier http://hdl.handle.net/10261/1805
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/1805
dc.description We 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.
dc.description B. Klaus’s research is supported by a Ramón y Cajal contract of the Spanish Ministerio de Ciencia y Tecnología. Furthermore, her work is partially supported by Research Grant BEC2002-02130 from the Spanish Ministerio de Ciencia y Tecnología and by the Barcelona Economics Program of CREA.
dc.language eng
dc.relation UFAE and IAE Working Papers
dc.relation 601.04
dc.rights openAccess
dc.subject Fair division with single-peaked preferences
dc.subject Separability
dc.subject Duplication-invariance
dc.subject Uniform rule
dc.title A Note on the Separability Principle in Economies with Single-Peaked Preferences
dc.type Documento de trabajo


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