Una Aplicación del Análisis no Diferenciable a la Economía Matemática: Caracterización de la Hipótesis de Libre Eliminación por medio del Cono Normal a la Frontera del Conjunto

Abstract

This paper is devoted to study some analytical properties of sets that satisfy the free disposal hypothesis. This hypothesis plays a relevant role in general equilibrium theory, because it is widely used to ensure both the positiveness of equilibrium prices and the efficiency of equilibrium allocation. The main result of this paper is a characterization of this hypothesis in terms of the normal cone to the set at its boundary points.