Duality for quasi‐concave programs with application to economics

T. R. Jefferson, G. M. Folie and C. H. Scott

Naval Research Logistics Quarterly, 1979, vol. 26, issue 4, 611-625

Abstract: A duality theory is developed for mathematical programs with strictly quasi‐concave objective functions to be maximized over a convex set. This work broadens the duality theory of Rockafellar and Peterson from concave (convex) functions to quasi‐concave (quasi‐convex) functions. The theory is closely related to the utility theory in economics. An example from economic planning is examined and the solution to the dual program is shown to have the properties normally associated with market prices.

Date: 1979
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https://doi.org/10.1002/nav.3800260406

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Persistent link: https://EconPapers.repec.org/RePEc:wly:navlog:v:26:y:1979:i:4:p:611-625

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