IDEAS home Printed from https://ideas.repec.org/p/fip/fedmsr/126.html
   My bibliography  Save this paper

The firm and the plant in general equilibrium theory

Author

Listed:
  • Andreas Hornstein
  • Edward C. Prescott

Abstract

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.

Suggested Citation

  • Andreas Hornstein & Edward C. Prescott, 1989. "The firm and the plant in general equilibrium theory," Staff Report 126, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmsr:126
    as

    Download full text from publisher

    File URL: http://minneapolisfed.org/research/sr/sr126.pdf
    Download Restriction: no
    File URL: http://minneapolisfed.org/research/common/pub_detail.cfm?pb_autonum_id=407
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    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. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    3. Harald Uhlig, 1996. "A law of large numbers for large economies (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 41-50.
    4. 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.
    5. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    6. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
    7. McKenzie, Lionel W, 1981. "The Classical Theorem on Existence of Competitive Equilibrium," Econometrica, Econometric Society, vol. 49(4), pages 819-841, June.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Terry J. Fitzgerald, 1998. "Reducing working hours: a general equilibrium analysis," Working Papers (Old Series) 9801, Federal Reserve Bank of Cleveland.
    2. Finn E. Kydland, 1993. "Business cycles and aggregate labor-market fluctuations," Working Papers (Old Series) 9312, Federal Reserve Bank of Cleveland.
    3. Chari, V V & Christiano, Lawrence J & Eichenbaum, Martin, 1995. "Inside Money, Outside Money, and Short-Term Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1354-1386, November.
    4. Parente, Stephen L. & Prescott, Edward C., 2005. "A Unified Theory of the Evolution of International Income Levels," Handbook of Economic Growth, in: Philippe Aghion & Steven Durlauf (ed.), Handbook of Economic Growth, edition 1, volume 1, chapter 21, pages 1371-1416, Elsevier.
    5. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2007. "Business Cycle Accounting," Econometrica, Econometric Society, vol. 75(3), pages 781-836, May.
    6. Ayse Imrohoroglu & Edward C. Prescott, 1991. "Seigniorage as a tax: a quantitative evaluation," Proceedings, Federal Reserve Bank of Cleveland, pages 462-482.
    7. Antonio García Sánchez & María del Mar Vázquez Méndez, 2005. "The timing of work in a general equilibrium model with shiftwork," Investigaciones Economicas, Fundación SEPI, vol. 29(1), pages 149-179, January.
    8. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    9. Edward C. Prescott, 2002. "Prosperity and Depression: 2002 Richard T. Ely Lecture," Working Papers 618, Federal Reserve Bank of Minneapolis.
    10. Andrés Erosa & Luisa Fuster & Gueorgui Kambourov, 2016. "Towards a Micro-Founded Theory of Aggregate Labour Supply," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 83(3), pages 1001-1039.
    11. Terry J. Fitzgerald, 1998. "Work Schedules, Wages and Employment in a General Equilibrium Model with Team Production," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(4), pages 809-834, October.
    12. Ayse Imrohoroglu & Edward C. Prescott, 1991. "Evaluating the welfare effects of alternative monetary arrangements," Quarterly Review, Federal Reserve Bank of Minneapolis, vol. 15(Sum), pages 3-10.
    13. Bianconi, Marcelo, 2008. "Heterogeneity, adverse selection and valuation with endogenous labor supply," International Review of Economics & Finance, Elsevier, vol. 17(1), pages 113-126.
    14. Gary D. Hansen & Edward C. Prescott, 2005. "Capacity constraints, asymmetries, and the business cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 850-865, October.
    15. Edward C. Prescott & Richard Rogerson & Johanna Wallenius, 2009. "Lifetime Aggregate Labor Supply with Endogenous Workweek Length," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 12(1), pages 23-36, January.
    16. Victoria Osuna & Jose-Victor Rios-Rull, 2003. "Implementing the 35 Hour Workweek by Means of Overtime Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 179-206, January.
    17. Edward Simpson Prescott & Robert M. Townsend, 2006. "Firms as Clubs in Walrasian Markets with Private Information," Journal of Political Economy, University of Chicago Press, vol. 114(4), pages 644-671, August.
    18. Stephen L. Parente & Edward C. Prescott, 1991. "Technology Adoption and Growth," NBER Working Papers 3733, National Bureau of Economic Research, Inc.
    19. Alexander Ueberfeldt, 2006. "Working Time over the 20th Century," Staff Working Papers 06-18, Bank of Canada.
    20. Edward C. Prescott, 2002. "Prosperity and Depression," American Economic Review, American Economic Association, vol. 92(2), pages 1-15, May.
    21. Jean-François Fagnart & Omar Licandro & Franck Portier, 1999. "Firm Heterogeneity, Capacity Utilization and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 2(2), pages 433-455, April.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
    2. Kehoe, Timothy J. & Levine, David K. & Prescott, Edward C., 2002. "Lotteries, Sunspots, and Incentive Constraints," Journal of Economic Theory, Elsevier, vol. 107(1), pages 39-69, November.
    3. Cole, Harold L. & Prescott, Edward C., 1997. "Valuation Equilibrium with Clubs," Journal of Economic Theory, Elsevier, vol. 74(1), pages 19-39, May.
    4. Prescott, Edward C. & Rios-Rull, Jose-Victor, 1992. "Classical competitive analysis of economies with Islands," Journal of Economic Theory, Elsevier, vol. 57(1), pages 73-98.
    5. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
    6. Charalambos Aliprantis & Kim Border & Owen Burkinshaw, 1996. "Market economies with many commodities," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 19(1), pages 113-185, March.
    7. Galina Vereshchagina & Hugo A. Hopenhayn, 2009. "Risk Taking by Entrepreneurs," American Economic Review, American Economic Association, vol. 99(5), pages 1808-1830, December.
    8. Terry J. Fitzgerald, 1998. "Work Schedules, Wages and Employment in a General Equilibrium Model with Team Production," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(4), pages 809-834, October.
    9. Edward C. Prescott, 2003. "Non-convexities in quantitative general equilibrium studies of business cycles," Staff Report 312, Federal Reserve Bank of Minneapolis.
    10. Michael A. Sadler, 2000. "Escaping Poverty: Risk-Taking and Endogenous Inequality in a Model of Equilibrium Growth," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 704-725, October.
    11. Terry J. Fitzgerald, 1998. "Reducing working hours: a general equilibrium analysis," Working Papers (Old Series) 9801, Federal Reserve Bank of Cleveland.
    12. Kokonas, Nikolaos & Monteiro, Paulo Santos, 2021. "Aggregation in economies with search frictions," Journal of Mathematical Economics, Elsevier, vol. 96(C).
    13. Victoria Osuna & Jose-Victor Rios-Rull, 2003. "Implementing the 35 Hour Workweek by Means of Overtime Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 6(1), pages 179-206, January.
    14. Nikolaos Kokonas & Paulo Santos Monteiro, 2023. "Self-fulfilling labor wedge fluctuations and unemployment insurance," Discussion Papers 2313, Centre for Macroeconomics (CFM).
    15. Chang, Yongsung, 2000. "Wages, business cycles, and comparative advantage," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 143-171, August.
    16. Anil K. Jain & Robert M. Townsend, 2021. "The economics of platforms in a Walrasian framework," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(3), pages 877-924, April.
    17. Edward C. Prescott, 2002. "Prosperity and Depression: 2002 Richard T. Ely Lecture," Working Papers 618, Federal Reserve Bank of Minneapolis.
    18. Kilenthong, Weerachart & Townsend, Robert, 2007. "Market Based, Segregated Exchanges with Default Risk," MPRA Paper 20724, University Library of Munich, Germany, revised 12 Nov 2009.
    19. Anil K. Jain & Robert M. Townsend, 2020. "The Economics of Platforms in a Walrasian Framework," International Finance Discussion Papers 1280, Board of Governors of the Federal Reserve System (U.S.).
    20. Edward C. Prescott, 2006. "Nobel Lecture: The Transformation of Macroeconomic Policy and Research," Journal of Political Economy, University of Chicago Press, vol. 114(2), pages 203-235, April.

    More about this item

    Keywords

    Labor productivity; Business enterprises;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:fip:fedmsr:126. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Kate Hansel (email available below). General contact details of provider: https://edirc.repec.org/data/cfrbmus.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.