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

Philippe Bich ()
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Philippe Bich: Centre d'Economie de la Sorbonne, https://centredeconomiesorbonne.cnrs.fr

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

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

Keywords: Quasi-concave; upper level set (search for similar items in EconPapers)
Pages: 14 pages
Date: 2009-10
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Persistent link: https://EconPapers.repec.org/RePEc:mse:cesdoc:09062

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