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Some remarks on lower hemicontinuity of convex multivalued mappings

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  • Piotr Maćkowiak

Abstract

For a multifunction a condition sufficient for lower hemicontinuity is presented. It is shown that under convexity of graph it is possible for a multifunction to be not continuous only when a special representation of points of its domain is not feasible. Copyright Springer-Verlag Berlin/Heidelberg 2006

Suggested Citation

  • Piotr Maćkowiak, 2006. "Some remarks on lower hemicontinuity of convex multivalued mappings," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 28(1), pages 227-233, May.
    • Handle: RePEc:spr:joecth:v:28:y:2006:i:1:p:227-233
    DOI: 10.1007/s00199-005-0600-2
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    References listed on IDEAS

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    1. Dutta, Prajit K & Mitra, Tapan, 1989. "On Continuity of the Utility Function in Intertemporal Allocation Models: An Example," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(3), pages 527-536, August.
    2. McKenzie, Lionel W., 2005. "Optimal economic growth, turnpike theorems and comparative dynamics," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 2, volume 3, chapter 26, pages 1281-1355, Elsevier.
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    More about this item

    Keywords

    Convexity; Polytope; Lower hemicontinuity.;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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