Accession Number:

AD0626728

Title:

A GEOMETRIC DUALITY THEOREM WITH ECONOMIC APPLICATION.

Descriptive Note:

Research rept.,

Corporate Author:

OPERATIONS RESEARCH CENTER UNIV OF CALIF BERKELEY

Personal Author(s):

• Gale,David

Report Date:

1965-12-01

Pagination or Media Count:

18.0

Abstract:

Let S be a surface in a normed linear space which is the graph of a concave function. At each point x of S there is a supporting linear function and the Duality Theorem states that there is one such function of smallest norm and this norm is equal to the steepness of the surface at x. The result is used to give economically meaningful, necessary and sufficient conditions for the validity of the Kuhn-Tucker Theorem and also to provide an estimate of the Kuhn-Tucker prices relating them to the marginal productivity of capital. Author

Descriptors:

• (*LINEAR PROGRAMMING
• ECONOMICS)
• (*ECONOMICS
• LINEAR PROGRAMMING)
• GEOMETRY
• PRODUCTION
• THEOREMS
• OPERATIONS RESEARCH

Subject Categories:

• Economics and Cost Analysis
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE