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Cost and Production Duality with Time Utilization of Capital

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  • Christopher C. Klein

Abstract

This article fills in some notable gaps in the literature on the existence and empirical implementation of dual cost and production models embodying the time utilization of capital. A proof of the existence of such dual cost and production functions is provided; previous results of Betancourt (1986) and Klein (1984) are extended to the general N-input-factor, continuously variable time-utilization case; and the restrictive conditions under which a conventional neoclassical empirical cost model captures the characteristics of a capital-utilization technology are derived. The general specification of cost functions that capture utilization effects is indicated.

Suggested Citation

  • Christopher C. Klein, 2007. "Cost and Production Duality with Time Utilization of Capital," Working Papers 200704, Middle Tennessee State University, Department of Economics and Finance.
  • Handle: RePEc:mts:wpaper:200704
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    File URL: http://capone.mtsu.edu/berc/working/Klein2007a.pdf
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    References listed on IDEAS

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    1. Marcelo L. Veracierto, 2002. "Plant-Level Irreversible Investment and Equilibrium Business Cycles," American Economic Review, American Economic Association, vol. 92(1), pages 181-197, March.
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    3. Segerson, Kathleen & Squires, Dale, 1995. "Measurement of Capacity Utilization for Revenue-Maximizing Firms," Bulletin of Economic Research, Wiley Blackwell, vol. 47(1), pages 77-84, January.
    4. Donald S. Siegel & Catherine J. Morrison Paul, 1999. "Scale Economies and Industry Agglomeration Externalities: A Dynamic Cost Function Approach," American Economic Review, American Economic Association, vol. 89(1), pages 272-290, March.
    5. Blackorby, Charles & Russell, R Robert, 1989. "Will the Real Elasticity of Substitution Please Stand Up? (A Comparison of the Allen/Uzawa and Morishima Elasticities)," American Economic Review, American Economic Association, vol. 79(4), pages 882-888, September.
    6. Diewert, W.E., 1993. "Duality approaches to microeconomic theory," Handbook of Mathematical Economics,in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 12, pages 535-599 Elsevier.
    7. Catherine J. Morrison Paul, 2003. "Cost Economies: A Driving Force for Consolidation and Concentration?," Southern Economic Journal, Southern Economic Association, vol. 70(1), pages 110-127, July.
    8. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275.
    9. H. Kim, 1999. "Economic Capacity Utilization and its Determinants: Theory and Evidence," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 15(4), pages 321-339, December.
    10. Michael Maloney, 2001. "Economies and Diseconomies: Estimating Electricity Cost Functions," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 19(2), pages 165-180, September.
    11. Nicholas Georgescu-Roegen, 1972. "Process Analysis and the Neoclassical Theory of Production," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 54(2), pages 279-294.
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    13. repec:mes:challe:v:31:y:1988:i:4:p:56-58 is not listed on IDEAS
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    More about this item

    Keywords

    duality; capital utilization; time in production.;

    JEL classification:

    • C81 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs - - - Methodology for Collecting, Estimating, and Organizing Microeconomic Data; Data Access
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • L23 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Organization of Production

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