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Vector mappings with diagonal images

  • Antonio Villar Notario

    (Instituto Valenciano de Investigaciones Económicas)

  • Carmen Herrero Blanco

    (Instituto Valenciano de Investigaciones Económicas)

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.

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File URL: http://www.ivie.es/downloads/docs/wpasad/wpasad-1990-01.pdf
File Function: Fisrt version / Primera version, 1990
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Paper provided by Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie) in its series Working Papers. Serie AD with number 1990-01.

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Length: 28 pages
Date of creation: Dec 1990
Date of revision:
Publication status: Published by Ivie
Handle: RePEc:ivi:wpasad:1990-01
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