Proper efficiency with respect to cones

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1982 English Publisher:Springer Science and Business Media LLCJournal:Journal of Optimization Theory and Applications, volume 36, pages 387-407 (issn: 0022-3239, eissn: 1573-2878,

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Authors: Henig, M. I.;

doi: 10.1007/bf00934353

Proper efficiency with respect to cones

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Abstract

Strict separation by a cone is used here to redefine proper efficiency. Two versions of the properness, which unify and generalize known definitions, are presented. Necessary and sufficient conditions for the existence of the set of properly efficient decisions and characterization of this set in terms of the supports of the decision set are given.

Related Organizations

Tel Aviv University
Israel

Keywords

strict separation, convex analysis, set of properly efficient decisions, necessary and sufficient existence conditions, cone, supports of the decision set, Sensitivity, stability, parametric optimization, multicriteria optimization, decision set characterization, cone separation, existence of properly efficient decisions, proper efficiency

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