Numerical representation of acyclic preferences

  1. Begoña Subiza Martínez
Zeitschrift:
Working papers = Documentos de trabajo: Serie AD

Datum der Publikation: 1993

Nummer: 9

Seiten: 1-30

Art: Arbeitsdokument

Zusammenfassung

In this paper, it is shown that, under certain conditions on a preference relation defined on a set X, there exists a numerical representation by means of set-valued real functions. This kind of representation extends the usual utility function as well as the representation by means of two real functions. The continuity of this representation is also discussed.