A characterization of acyclic preferences on countable sets

  1. Carmen Herrero Blanco
  2. Begoña Subiza Martínez
Revista:
Working papers = Documentos de trabajo: Serie AD

Año de publicación: 1991

Número: 1

Páginas: 1-21

Tipo: Documento de Trabajo

Resumen

In this paper a new numerical representation of preferences (by means of set-valued real functions) is proposed. Our representation extends the usual utility function (in case preferences are preorder-type) as well as the pairwise representation (in case preferences are interval-order type). Then, we provide a characterization of acyclic preference relations on countable sets as those admitting a set-valued numerical representation.