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The Allocation of Resources in the Presence of Indivisibilities

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

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Abstract

The pricing tests for optimality in a convex programming problem are not available when the production possibility set displays economies of scale. The paper argues that indivisibilities in production are one of the major causes of such economies. The constrained optimization problems arising in the presence of indivisibilities are integer programs, and it is proposed that the unique, minimal quantity tests for such problems may shed some light on the internal organization of a large firm.

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File URL: http://cowles.econ.yale.edu/P/cd/d10b/d1068.pdf
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Publisher Info
Paper provided by Cowles Foundation, Yale University in its series Cowles Foundation Discussion Papers with number 1068.

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Length: 22 pages
Date of creation: Jan 1994
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Publication status: Published in Journal of Economic Perspectives, 8(4), 1994
Handle: RePEc:cwl:cwldpp:1068

Note: CFP 880.
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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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  1. Bennett Levitan & Jose Lobo & Stuart Kauffman & Richard Schuler, 1999. "Optimal Organization Size in a Stochastic Environment with Externalities," Working Papers 99-04-024, Santa Fe Institute.
  2. Walter Briec & Kristiaan Kerstens, 2006. "Input, output and graph technical efficiency measures on non-convex FDH models with various scaling laws: An integrated approach based upon implicit enumeration algorithms," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 14(1), pages 135-166, June. [Downloadable!] (restricted)
  3. Laan, G. van der & Talman, D. & Yang, Z., 1999. "Existence and welfare properties of equilibrium in an exchange economy with multiple divisible, indivisible commodities and linear production technologies," Discussion Paper 76, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  4. Laan, G. van der & Talman, D. & Yang, Z., 1996. "Existence of an equilibrium in a competitive economy with indivisibilities and money," Discussion Paper 35, Tilburg University, Center for Economic Research. [Downloadable!]
    Other versions:
  5. Koshevoy, G.A. & Talman, D., 2002. "Competitive equilibria in economies with multiple divisible and multiple indivisible commodities," Discussion Paper 71, Tilburg University, Center for Economic Research. [Downloadable!]
  6. Gerard van der Laan & Dolf Talman & Zaifu Yang, 2007. "Combinatorial Integer Labeling Theorems on Finite Sets with an Application to Discrete Systems of Nonlinear Equations," Tinbergen Institute Discussion Papers 07-084/1, Tinbergen Institute. [Downloadable!]
    Other versions:
  7. Koshevoy, Gleb A. & Talman, Dolf, 2006. "Competitive equilibria in economies with multiple divisible and indivisible commodities and no money," Discussion Paper 51, Tilburg University, Center for Economic Research. [Downloadable!]
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