A KKM-result and an application for binary and non-binary choice functions
- Llinares, Juan V.
- Sánchez, Mª Carmen
- Subiza Martínez, Begoña
Any de publicació: 2000
Número: 4
Tipus: Document de treball
Resum
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.