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A Price Schedules Decomposition Algorithm for Linear Programming Problems

Peter Jennergren
Econometrica
Vol. 41, No. 5 (Sep., 1973), pp. 965-980
Published by: The Econometric Society
DOI: 10.2307/1913817
Stable URL: http://www.jstor.org/stable/1913817
Page Count: 16
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A Price Schedules Decomposition Algorithm for Linear Programming Problems
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Abstract

It is known that prices only cannot usually be utilized to coordinate a linear economic system. This paper considers a linear economic system, formally represented as a linear programming model which is interpreted as a resource-allocation problem. An algorithm founded on the idea of associating with each resource a linearly increasing price schedule rather than a constant price is developed. The paper hence demonstrates that a mechanism rather similar to a pure price mechanism can be used both to find and sustain an optimal allocation of resources in a linear economic system.

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