Stable Partitions in Many Division Problems : The Proportional and the Sequential Dictator Solutions
Bergantiños, Gustavo (Universidade de Vigo)
Massó, Jordi (Universitat Autònoma de Barcelona. Departament d'Economia i d'Història Econòmica)
Moreno de Barreda, Inés (University of Oxford)
Neme, Alejandro (Universidad Nacional de San Luis)

Data:	2015
Resum:	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.
Ajuts:	Ministerio de Ciencia e Innovación ECO2011-23460 Ministerio de Economía y Competitividad SEV-2011-0075 Ministerio de Economía y Competitividad ECO2008-0475-FEDER Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-419 Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-515
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió sotmesa a revisió
Matèria:	Division problem ; Symmetric single-peaked preferences ; Stable partition
Publicat a:	Theory and decision, Vol. 79, Núm. 2 (2015) , p. 227-250, ISSN 0040-5833

DOI: 10.1007/s11238-014-9467-7

Preprint 23 p, 427.0 KB

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