Vector mappings with diagonal images

• Autores: Carmen Herrero Blanco, Antonio Villar
• Localización: Working papers = Documentos de trabajo: Serie AD, Nº. 1, 1990, págs. 1-22
• Idioma: inglés
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• Resumen

  • A diagonal image may be defined as a point in the image of agiven mapping, whose components are all equal. This paper investigates sufficient conditions for a set-valued mapping to have quasi-diagonal images(in an extended sense). More specifically, we shall show that anupper-hemicontinuous correspondence, with nonempty, compact andconvex values, applying the cartesian product of an arbitrarynumber of simplexes on the corresponding space, has aquasi-diagonal image. Two applications are provided in order to illustrate the usefulness of these points in econornic modelling.