A KKM-result and an application for binary and non-binary choice functions

  1. Llinares, Juan V.
  2. Sánchez, Mª Carmen
  3. Subiza Martínez, Begoña
Revista:
Working papers = Documentos de trabajo: Serie AD

Año de publicación: 2000

Número: 4

Tipo: Documento de Trabajo

Resumen

By generalizing the classical Knaster-Kuratowski-Mazurkiewicz Theorem, we obtain a result that provides sufficient conditions to ensure the non-emptiness of several kinds of choice functions. This result generalizes well-known results on the existence of maximal elements for binary relations (Bergstrom, 1975; Walker, 1977; Tian, 1993), on the non-emptiness of non-binary choice functions (Nehring, 1996; Llinares and Sánchez, 1999) and on the non-emptiness of some classical solutions for tournaments (top cycle and uncovered set) on non-finite sets.