On strategy-proofness and semilattice single-peakedness

We study social choice rules defined on the domain of semilattice single-peaked preferences. Semilattice single-peakedness has been identified as the condition that a set of preferences must satisfy so that the set can be the domain of a strategy-proof, tops-only, anonymous and unanimous rule. We ch...

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Detalles Bibliográficos
Autores: Bonifacio, Agustín G., Massó, Jordi|||0000-0003-3712-0041
Tipo de recurso: artículo
Fecha de publicación:2020
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:288667
Acceso en línea:https://ddd.uab.cat/record/288667
https://dx.doi.org/urn:doi:10.1016/j.geb.2020.08.005
Access Level:acceso abierto
Palabra clave:Strategy-proofness
Unanimity
Anonymity
Tops-onlyness
Single-peakedness
Descripción
Sumario:We study social choice rules defined on the domain of semilattice single-peaked preferences. Semilattice single-peakedness has been identified as the condition that a set of preferences must satisfy so that the set can be the domain of a strategy-proof, tops-only, anonymous and unanimous rule. We characterize the class of all such rules on that domain and show that they are deeply related to the supremum of the underlying semilattice structure.