Two Linear Decentralized Procedures

We start with a study of the piece-wise linear function determining how the maximum of the objective varies with the right-hand members of the constraints. Generation of this function needs dual prices. The latter being used only in their validity sets, the two proposed procedures avoid the main dif...

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Bibliographic Details
Published inEconometrica Vol. 46; no. 6; pp. 1389 - 1409
Main Author Lacaze, Dominique
Format Journal Article
LanguageEnglish
Published Menasha, Wis The Econometric Society 01.11.1978
George Banta Pub. Co. for the Econometric Society
Blackwell Publishing Ltd
Subjects
Algorithms
Linear programming
Linear transformations
Mathematical functions
Mathematical vectors
Matrices
Objective functions
Optimal solutions
Price vector
Prices
Production engineering
Validity
Vertices
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Summary:We start with a study of the piece-wise linear function determining how the maximum of the objective varies with the right-hand members of the constraints. Generation of this function needs dual prices. The latter being used only in their validity sets, the two proposed procedures avoid the main difficulty to which the Kornai-Liptak procedure is subject. Basically, the subsystems propose at each step new production processes out of various projects which are often not well specified. The central agency sends prices or resource allocations.
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ISSN:0012-9682
1468-0262
DOI:10.2307/1913835