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Artículo

Stable partitions in many division problems: the proportional and the sequential dictator solutions

Bergantiños, Gustavo; Jordi, Massó Carreras; Moreno de Barreda, Inés; Neme, Alejandro JoséIcon
Fecha de publicación: 09/2015
Editorial: Springer
Revista: Theory And Decision
ISSN: 0040-5833
e-ISSN: 1573-7187
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:
Matemática Pura

Resumen

We study how to partition a set of agents in a stable way when each coalition in the partition has to share a unit of a perfectly divisible good, and each agent has symmetric single-peaked preferences on the unit interval of his potential shares. A rule on the set of preference profiles consists of a partition function and a solution. Given a preference profile, a partition is selected and as many units of the good as the number of coalitions in the partition are allocated, where each unit is shared among all agents belonging to the same coalition according to the solution. A rule is stable at a preference profile if no agent strictly prefers to leave his coalition to join another coalition and all members of the receiving coalition want to admit him. We show that the proportional solution and all sequential dictator solutions admit stable partition functions. We also show that stability is a strong requirement that becomes easily incompatible with other desirable properties like efficiency, strategy-proofness, anonymity, and non-envyness.
Palabras clave: Division Problem , Stable Partition , Symmetric Single-Peaked Preferences
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/60780
DOI: http://dx.doi.org/10.1007/s11238-014-9467-7
URL: https://link.springer.com/article/10.1007/s11238-014-9467-7
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Articulos(IMASL)
Articulos de INST. DE MATEMATICA APLICADA DE SAN LUIS
Citación
Bergantiños, Gustavo; Jordi, Massó Carreras; Moreno de Barreda, Inés; Neme, Alejandro José; Stable partitions in many division problems: the proportional and the sequential dictator solutions; Springer; Theory And Decision; 79; 2; 9-2015; 227-250
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