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Proper efficiency and the theory of vector maximization. (English) Zbl 0181.22806

A new refinement of the familiar concept of efficiency (vector maximality, Pareto optimality) is proposed, called “proper efficiency”, and its implications are explored. It is shown that the new definition is more plausible than either the usual definition or the concept of proper efficiency introduced by Kuhn and Tucker, in that it more successfully excludes decisions of a certain anomalous type. It is also shown to lend itself to more satisfactory mathematical characterization. A characterization is worked out in detail that constitutes a natural generalization of the Kuhn-Tucker theory for nonlinear programming (with but a single objective function).

MSC:

90C30 Nonlinear programming
Full Text: DOI

References:

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