The Allocation of Resources in the Presence of Indivisibilities
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.
|Date of creation:||Jan 1994|
|Publication status:||Published in Journal of Economic Perspectives (Fall 1994), 8(4): 111-128|
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- Herbert E. Scarf, 1990.
"Mathematical Programming and Economic Theory,"
INFORMS, vol. 38(3), pages 377-385, June.
- Herbert E. Scarf, 1989. "Mathematical Programming and Economic Theory," Cowles Foundation Discussion Papers 930, Cowles Foundation for Research in Economics, Yale University.
- László Lovász & Herbert E. Scarf, 1992. "The Generalized Basis Reduction Algorithm," Mathematics of Operations Research, INFORMS, vol. 17(3), pages 751-764, August.
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