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Well-posedness and convexity in vector optimization

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  • Miglierina Enrico

    ()
    (Department of Economics, University of Insubria, Italy)

  • Molho Elena

    ()
    (University of Pavia, Italy)

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    Abstract

    We study a notion of well-posedness in vector optimization through the behaviour fo minimizing sequences of sets, defined in terms of Hausdorff set-convergence. We prove the involvement of strict efficiency, a refinement of the notion of efficiency, in the definition of well-posedness. Using the previous results we identify a class of well-posed vector optimization problems: the convex problems with compact efficient frontiers.

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    File URL: http://eco.uninsubria.it/dipeco/Quaderni/files/QF2002_38.pdf
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    Bibliographic Info

    Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf0221.

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    Length: 16 pages
    Date of creation: Nov 2002
    Date of revision:
    Handle: RePEc:ins:quaeco:qf0221

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    Related research

    Keywords: vector-optimization; well-posedness; stability; Hausdorff set-convergence;

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    Cited by:
    1. Giancarlo Bertocco, 2007. "The characteristics of a monetary economy: a Keynes--Schumpeter approach," Cambridge Journal of Economics, Oxford University Press, vol. 31(1), pages 101-122, January.
    2. Bertocco Giancarlo, 2003. "The economics of financing firms: the role of banks," Economics and Quantitative Methods qf0312, Department of Economics, University of Insubria.

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