False-name-proof and strategy-proof voting rules under separable preferences

We consider the problem of a society that uses a voting rule to choose a subset from a given set of objects (candidates, binary issues, or alike). We assume that voters' preferences over subsets of objects are separable: adding an object to a set leads to a better set if and only if the object...

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Detalles Bibliográficos
Autores: Fioravanti, Federico, Massó, Jordi|||0000-0003-3712-0041
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:296472
Acceso en línea:https://ddd.uab.cat/record/296472
https://dx.doi.org/urn:doi:10.1007/s11238-023-09973-5
Access Level:acceso abierto
Palabra clave:False-name-proofness
Anonymity
Strategy-proofness
Separable Preferences
Descripción
Sumario:We consider the problem of a society that uses a voting rule to choose a subset from a given set of objects (candidates, binary issues, or alike). We assume that voters' preferences over subsets of objects are separable: adding an object to a set leads to a better set if and only if the object is good (as a singleton set, the object is better than the empty set). A voting rule is strategy-proof if no voter benefits by not revealing its preferences truthfully and it is false-name-proof if no voter benefits by submitting several votes under other identities. We characterize all voting rules that satisfy false-name-proofness, strategy-proofness, and ontoness as the class of voting rules in which an object is chosen if it has either at least one vote in every society or a unanimous vote in every society. To do this, we first prove that if a voting rule is false-name-proof, strategy-proof, and onto, then the identities of the voters are not important.