Numerical representation for lower quasi-continuous preferences

  1. Josep Enric Peris Ferrando 1
  2. Begoña Subiza Martínez 1
  1. 1 Universitat d'Alacant
    info

    Universitat d'Alacant

    Alicante, España

    ROR https://ror.org/05t8bcz72

Revista:
Working papers = Documentos de trabajo: Serie AD

Año de publicación: 1996

Número: 8

Páginas: 1-9

Tipo: Documento de Trabajo

Resumen

A weaker than usual continuity condition for acyclic preferences is introduced. For preorders this condition turns out to be equivalent to lower continuity, but in general this is not true. By using this condition, a numerical representation which is upper semicontinuous is obtained. This fact guarantees the existence of maxima of such a function, and therefore the existence of maximal elements of the binary relation.