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On dual vector optimization and shadow prices

Published online by Cambridge University Press:  15 December 2004

Letizia Pellegrini
Letizia Pellegrini*
Affiliation:
Associate Professor, Department of Economics, University of Verona, Via Giardino Giusti 2, 37129 Verona, Italy; letizia.pellegrini@univr.it.
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Abstract

In this paper we present the image space analysis, based on a general separation scheme, with the aim of studying Lagrangian duality and shadow prices in Vector Optimization. Two particular kinds of separation are considered; in the linear case, each of them is applied to the study of sensitivity analysis, and it is proved that the derivatives of the perturbation function can be expressed in terms of vector Lagrange multipliers or shadow prices.

Keywords

Vector Optimizationimage spaceLagrangian dualityshadow prices.
Type
Research Article
Information
RAIRO - Operations Research , Volume 38 , Issue 4 , October 2004 , pp. 305 - 317
Copyright
© EDP Sciences, 2004

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