A dual problem and duality theorems for average shadow prices in mathematical programming

A dual problem and duality theorems for average shadow prices in mathematical programming

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Article ID: iaor19941147
Country: South Korea
Volume: 18
Issue: 2
Start Page Number: 147
End Page Number: 156
Publication Date: Aug 1993
Journal: Journal of the Korean ORMS Society
Authors:
Abstract:

Recently a new concept of shadow prices, called average shadow price, has been developed. This paper provides a dual problem and the corresponding duality theorems justifying this new shadow price. The general duality framework is used. As an important secondary result, a new reduced class of price function, the p.h.-class, has been developed for the general duality theory. This should be distinguished from other known reductions achieved in some specific areas of mathematical programming, in that it sustains the strong duality property in all the mathematical programs. The new general dual problem suggested with this p.h.-class proves, as an optimal solution, the average shadow prices.

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