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Aggregation Over Firms and Flexible Functional Forms

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  • H. YOUN KIM

Abstract

The present paper presents a generalised class of cost functions suitable for aggregation of firms and considers various flexible functional forms to assess whether they possess desirable aggregation properties. This set of cost functions includes two output functions and subsumes linear and non‐linear cost functions employed in existing analyses. While the quadratic and the generalised Leontief and McFadden cost functions satisfy the generalised aggregation condition, the translog cost function and its variants are less capable of possessing desirable aggregation properties. A modified quasi‐homothetic translog form is presented that is useful for aggregate analysis. Possible extensions of the generalised aggregation rule are discussed.

Suggested Citation

  • H. Youn Kim, 2005. "Aggregation Over Firms and Flexible Functional Forms," The Economic Record, The Economic Society of Australia, vol. 81(252), pages 19-29, March.
  • Handle: RePEc:bla:ecorec:v:81:y:2005:i:252:p:19-29
    DOI: 10.1111/j.1475-4932.2005.00213.x
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    1. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    2. Satya Paul, 2003. "Effects of Public Infrastructure on Cost Structure and Productivity in the Private Sector," The Economic Record, The Economic Society of Australia, vol. 79(247), pages 446-461, December.
    3. Blackorby, Charles & Schworm, William, 1988. "The Existence of Input and Output Aggregates in Aggregate Production Functions," Econometrica, Econometric Society, vol. 56(3), pages 613-643, May.
    4. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
    5. Diewert, Walter E & Wales, Terence J, 1987. "Flexible Functional Forms and Global Curvature Conditions," Econometrica, Econometric Society, vol. 55(1), pages 43-68, January.
    6. Bertrand Koebel, 1998. "Tests of Representative Firm Models: Results for German Manufacturing Industries," Journal of Productivity Analysis, Springer, vol. 10(3), pages 251-270, November.
    7. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, November.
    8. Ramey, Valerie A, 1989. "Inventories as Factors of Production and Economic Fluctuations," American Economic Review, American Economic Association, vol. 79(3), pages 338-354, June.
    9. Lau, Lawrence J., 1982. "A note on the fundamental theorem of exact aggregation," Economics Letters, Elsevier, vol. 9(2), pages 119-126.
    10. Berndt, Ernst R & Wood, David O, 1975. "Technology, Prices, and the Derived Demand for Energy," The Review of Economics and Statistics, MIT Press, vol. 57(3), pages 259-268, August.
    11. Lopez, Ramon E, 1985. "Structural Implications of a Class of Flexible Functional Forms for Profit Functions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 26(3), pages 593-601, October.
    12. Richmond, J, 1976. "Aggregation and Identification," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(1), pages 47-56, February.
    13. Russell, Thomas, 1982. "Exact aggregation as a corollary of Richmond's theorem," Economics Letters, Elsevier, vol. 9(4), pages 311-314.
    14. Berndt, Ernst R & Khaled, Mohammed S, 1979. "Parametric Productivity Measurement and Choice among Flexible Functional Forms," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1220-1245, December.
    15. Epstein, Larry G & Denny, Michael G S, 1983. "The Multivariate Flexible Accelerator Model: Its Empirical Restrictions and an Application to U.S. Manufacturing," Econometrica, Econometric Society, vol. 51(3), pages 647-674, May.
    16. Denny, Michael & Fuss, Melvyn A, 1977. "The Use of Approximation Analysis to Test for Separability and the Existence of Consistent Aggregates," American Economic Review, American Economic Association, vol. 67(3), pages 404-418, June.
    17. Kim, H. Youn, 1988. "The econometric modelling of aggregate consumer behaviour : A comment," European Economic Review, Elsevier, vol. 32(4), pages 1013-1017, April.
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    2. Harry Bloch, 2010. "Technological Change in Australian Manufacturing," Australian Economic Review, The University of Melbourne, Melbourne Institute of Applied Economic and Social Research, vol. 43(1), pages 28-38, March.

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