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The firm and the plant in general equilibrium theory

  • Andreas Hornstein
  • Edward C. Prescott

The general equilibrium formulations are developed for two important economic environments. The first environment is the Lucas managerial span-of-control theory of the firm. It is shown that, in the spirit of McKenzie, the aggregate production set can be characterized by a convex cone. The second environment permits both the number of hours plants are operated and the number of workers operating them to be varied. For empirically reasonable elasticities of substitution, equilibrium is characterized by employment-consumption lotteries.

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Paper provided by Federal Reserve Bank of Minneapolis in its series Staff Report with number 126.

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Date of creation: 1989
Date of revision:
Publication status: Published in General Equilibrium, Growth and Trade (Vol. 2, 1993, pp. 393-410)
Handle: RePEc:fip:fedmsr:126
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  1. Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
  2. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer, vol. 8(1), pages 41-50.
  3. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  4. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
  5. Robert E. Lucas Jr., 1978. "On the Size Distribution of Business Firms," Bell Journal of Economics, The RAND Corporation, vol. 9(2), pages 508-523, Autumn.
  6. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-41, June.
  7. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
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