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A Maximal Domain of Preferences for Tops-only Rules in the Division Problem

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dc.creator Massó, Jordi
dc.creator Neme, Alejandro
dc.date 2007-11-06T08:50:10Z
dc.date 2007-11-06T08:50:10Z
dc.date 2002-09-13
dc.date.accessioned 2017-01-31T00:58:04Z
dc.date.available 2017-01-31T00:58:04Z
dc.identifier http://hdl.handle.net/10261/1884
dc.identifier.uri http://dspace.mediu.edu.my:8181/xmlui/handle/10261/1884
dc.description The division problem consists of allocating an amount M of a perfectly divisible good among a group of n agents. Sprumont (1991) showed that if agents have single-peaked preferences over their shares, the uniform rule is the unique strategy-proof, efficient, and anonymous rule. Ching and Serizawa (1998) extended this result by showing that the set of single-plateaued preferences is the largest domain, for all possible values of M, admitting a rule (the extended uniform rule) satisfying strategy-proofness, efficiency and symmetry. We identify, for each M and n, a maximal domain of preferences under which the extended uniform rule also satisfies the properties of strategy-proofness, efficiency, continuity, and "tops-onlyness". These domains (called weakly single-plateaued) are strictly larger than the set of single-plateaued preferences. However, their intersection, when M varies from zero to infinity, coincides with the set of single-plateaued preferences.
dc.description The work of Alejandro Neme is partially supported by Research Grant 319502 from the Universidad Nacional de San Luis. The work of Jordi Massó is partially supported by Research Grants PB98-0870 from the Spanish Ministerio de Educación y Cultura, and 2001SGR-00162 from the Generalitat de Catalunya.
dc.language eng
dc.relation UFAE and IAE Working Papers
dc.relation 535.02
dc.rights openAccess
dc.subject Strategy-proofness
dc.subject Single-plateaued preferences
dc.title A Maximal Domain of Preferences for Tops-only Rules in the Division Problem
dc.type Documento de trabajo


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