
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 : DEC 1965
Pagination or Media Count : 18
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 KuhnTucker Theorem and also to provide an estimate of the KuhnTucker 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