The Division Problem under Constraints

Gustavo Bergantiños, Jordi Masso and Alejandro Neme ()

UFAE and IAE Working Papers from Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC)

Abstract: The division problem under constraints consists of allocating a given amount of an homogeneous and perfectly divisible good among a subset of agents with single- peaked preferences on an exogenously given interval of feasible allotments. We char- acterize axiomatically the family of extended uniform rules proposed to solve the division problem under constraints. Rules in this family extend the uniform rule used to solve the classical division problem without constraints. We show that the fam- ily of all extended uniform rules coincides with the set of rules satisfying efficiency, strategy-proofness, equal treatment of equals, bound monotonicity, consistency, and independence of irrelevant coalitions.

Keywords: Division Problem; Single-peaked Preferences. (search for similar items in EconPapers)
JEL-codes: D71 (search for similar items in EconPapers)
Pages: 39
Date: 2013-12-16
New Economics Papers: this item is included in nep-gth and nep-mic
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Related works:
Journal Article: The division problem under constraints (2015)
Working Paper: The Division Problem under Constraints (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:aub:autbar:942.13

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