PROPER EFFICIENCY AND THE THEORY OF VECTOR MAXIMIZATION

Abstract

The report discusses a redefinition of the fundamental concept of efficiency to eliminate certain anomalous situations. The resulting new definition, called 'proper' efficiency, is related to the notion of proper efficiency introduced by Kuhn and Tucker in 1950. However, the present definition avoids some of the drawbacks inherent in the earlier one. A comprehensive theory of vector maximization is constructed using the new definition, with and without various constraint qualification, convexity, and differentiability assumptions. The theory includes as a special case the standard theory of nonlinear programming.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0661543

Entities

People

  • Arthur M. Geoffrion

Organizations

  • RAND Corporation

Tags

Communities of Interest

  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Computer Programming
  • Convex Sets
  • Cost Benefit Analysis
  • Decision Theory
  • Efficiency
  • Game Theory
  • Interdisciplinary Science
  • Mathematical Analysis
  • Mathematical Programming
  • Mathematics
  • Nonlinear Programming
  • Qualifications
  • Statistical Decision Theory
  • Theorems
  • United States

Readers

  • Mathematical Modeling and Probability Theory.
  • Systems Analysis and Design