Utilizad este identificador para citar o enlazar este documento: http://hdl.handle.net/2072/1914

A maximal domain of preferences for tops-only rules in the division problem
Massó, Jordi; Neme, Alejandro
Universitat Autònoma de Barcelona. Unitat de Fonaments de l'Anàlisi Econòmica; Institut d'Anàlisi Econòmica
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.
09-05-2006
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Working papers; 535.02
         

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