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On the continuous representation of quasi-concave mappings by their upper level sets

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  • Philippe Bich

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    (CES - Centre d'économie de la Sorbonne - CNRS : UMR8174 - Université Paris 1 - Panthéon-Sorbonne, EEP-PSE - Ecole d'Économie de Paris - Paris School of Economics - Ecole d'Économie de Paris)

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    Abstract

    We provide a continuous representation of quasi-concave mappings by their upper level sets. A possible motivation is the extension to quasi-concave mappings of a result by Ulam and Hyers, which states that every approximately convex mapping can be approximated by a convex mapping.

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    Bibliographic Info

    Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00426403.

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    Date of creation: Oct 2009
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    Handle: RePEc:hal:cesptp:halshs-00426403

    Note: View the original document on HAL open archive server: http://halshs.archives-ouvertes.fr/halshs-00426403
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    Keywords: Quasi-concave; upper level set.;

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