
doi: 10.1007/bf01581650
In this paper a definition is proposed for the concept of shadow prices in nonconvex programming. For a nonlinear program with equality and inequality constraints, existence of these prices and bounds for their possible values are obtained under the Mangasarian—Fromowitz regularity condition. Their exact values and some continuity properties are obtained under the more restrictive linear independence regularity condition. A definition of equilibrium prices is also proposed. Under convexity assumptions, all definitions and results coincide with those already known on this subject in convex programming.
continuity properties, Mathematical economics, equality constraints, linear independence regularity condition, equilibrium prices, economic interpretation, nonconvex programming, exact values, Applications of mathematical programming, shadow prices, Nonlinear programming, existence proof, existence conditions, inequality constraints, Mangasarian-Fromowitz regularity condition
continuity properties, Mathematical economics, equality constraints, linear independence regularity condition, equilibrium prices, economic interpretation, nonconvex programming, exact values, Applications of mathematical programming, shadow prices, Nonlinear programming, existence proof, existence conditions, inequality constraints, Mangasarian-Fromowitz regularity condition
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