A GEOMETRIC DUALITY THEOREM WITH ECONOMIC APPLICATION.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 01, 1965
- Accession Number
- AD0626728
Entities
People
- David Gale