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Mathematical Programming and Economic Theory

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Author Info
Herbert E. Scarf () (Cowles Foundation, Yale University)

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Abstract

The paper discusses the analogy between economic institutions and algorithms for the solution of mathematical programming problems. The simplex method for solving linear programs can be interpreted as a search for market prices that equilibrate the demand for factors of production with their supply. An interpretation in terms of the internal organization of the large firm is offered for Lenstra's integer programming algorithm.

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File URL: http://cowles.econ.yale.edu/P/cp/p07b/p0763.pdf
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File URL: http://cowles.econ.yale.edu/P/cd/d09a/d0930.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 930.

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Length: 26 pages
Date of creation: Nov 1989
Date of revision:
Publication status: Published in Operations Research (May-June 1990), 38(3): 377-385
Handle: RePEc:cwl:cwldpp:930

Note: CFP 763.
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Postal: Yale University, Box 208281, New Haven, CT 06520-8281 USA
Phone: (203) 432-3702
Fax: (203) 432-6167
Web page: http://cowles.econ.yale.edu/
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Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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Related research
Keywords: Integer programming; prices; factors of production; algorithms;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation, Yale University. [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. James R. Markusen & Thomas F. Rutherford, 1993. "Discrete Plant-Location Decisions in an Applied General-Equilibrium Model of Trade Liberalization," NBER Working Papers 4513, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
    Other versions:
  2. Drexl, Andreas & Jörnsten, Kurt & Knof, Diether, 2005. "Non-linear anonymous pricing in combinatorial auctions," Discussion Papers 2005/6, Department of Finance and Management Science, Norwegian School of Economics and Business Administration. [Downloadable!]
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