Existence and characterization of efficient decisions with respect to cones

Mordechai I. Henig

doi:10.1007/BF01583782

Existence and characterization of efficient decisions with respect to cones

Mordechai I. Henig^*

^*Corresponding author for this work

Coller School of Management

Research output: Contribution to journal › Article › peer-review

Abstract

Existence and characterization theorems for the efficient (nondominated) set of decisions in Rⁿ are presented. The existence is proved when the set of decisions satisfies some compactness conditions. The efficient set is characterized in terms of the exposed efficient decisions when certain convexity and compactness conditions are satisfied.

Original language	English
Pages (from-to)	111-116
Number of pages	6
Journal	Mathematical Programming
Volume	23
Issue number	1
DOIs	https://doi.org/10.1007/BF01583782
State	Published - Dec 1982

Keywords

Convex Analysis
Multicriteria Optimization

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KW - Multicriteria Optimization

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Existence and characterization of efficient decisions with respect to cones

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Keywords

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