A characterization of pairwise dictatorial approbatory social welfare functions

[EN] This paper defines approbatory social welfare functions. They are the natural counterpart of Arrovian social welfare functions when the expression of preferences is accompanied by a common choice of “approved” alternatives in a consistent manner. First, we count the number of consistent prefere...

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Detalles Bibliográficos
Autores: Santos-García, Gustavo, Alcantud, José Carlos R.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2025
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/163896
Acceso en línea:http://hdl.handle.net/10366/163896
Access Level:acceso abierto
Palabra clave:Ranking
Approval
Social welfare function
Voting
Dictatorship
6310.11 Bienestar Social
Descripción
Sumario:[EN] This paper defines approbatory social welfare functions. They are the natural counterpart of Arrovian social welfare functions when the expression of preferences is accompanied by a common choice of “approved” alternatives in a consistent manner. First, we count the number of consistent preference-approval profiles (the domain of approbatory social welfare functions). Then we show that pairwise dictatorial behaviors are characterized by unanimity and independence of irrelevant alternatives, a replication of Arrow’s characterization of dictatorships for this restricted version of the preference-approval model defined by Brams and Sanver in 2009.