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Characterizing the efficient points without closedness or free-disposability

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  • Fabián Flores-Bazán
  • Sigifredo Laengle
  • Gino Loyola

Abstract

Many multicriteria problems in economics and finance require that efficient solutions be found. A recent contribution to production theory established a characterization of efficient points under closedness and free-disposability (Bonnisseau and Crettez in Econ Theory 31(2):213–223, 2007 , Theorem 1). However, as will be shown using a number of examples, these results cannot be applied to simple and plausible production sets, nor can they be extended to other classic multicriteria problems such as those arising in optimal portfolio theory and bargaining theory. To address these limitations, a reformulation of the above theorem without closedness or free-disposability is proposed. This enables efficient solutions for a wider range of multicriteria problems to be identified. Copyright Springer-Verlag 2013

Suggested Citation

  • Fabián Flores-Bazán & Sigifredo Laengle & Gino Loyola, 2013. "Characterizing the efficient points without closedness or free-disposability," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 21(2), pages 401-410, March.
    • Handle: RePEc:spr:cejnor:v:21:y:2013:i:2:p:401-410
    DOI: 10.1007/s10100-011-0233-4
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    References listed on IDEAS

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    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. Jean-Marc Bonnisseau & Bertrand Crettez, 2007. "On the Characterization of Efficient Production Vectors," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(2), pages 213-223, May.
    3. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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    Cited by:

    1. Fabián Flores-Bazán & Fernando Flores-Bazán & Sigifredo Laengle, 2015. "Characterizing Efficiency on Infinite-dimensional Commodity Spaces with Ordering Cones Having Possibly Empty Interior," Journal of Optimization Theory and Applications, Springer, vol. 164(2), pages 455-478, February.

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