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Debreu?s Coefficient of Resource Utilization, the Solow Residual, and TFP: The Connection by Leontief Preferences

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  • Thijs ten Raa

Abstract

Debreu?s coefficient of resource allocation is freed from individual data requirements. The procedure is shown to be equivalent to the imposition of Leontief preferences. The rate of growth of the modified Debreu coefficient and the Solow residual are shown to add up to TFP growth. This decomposition is the neoclassical counterpart to the frontier analytic decomposition of productivity growth into technical change and efficiency change. The terms can now be broken down by sector as well as by factor input.

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  • Thijs ten Raa, 2003. "Debreu?s Coefficient of Resource Utilization, the Solow Residual, and TFP: The Connection by Leontief Preferences," ERSA conference papers ersa03p9, European Regional Science Association.
    • Handle: RePEc:wiw:wiwrsa:ersa03p9
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    1. Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity and intermediate products: A frontier approach," Economics Letters, Elsevier, vol. 50(1), pages 65-70, January.
    2. repec:bla:scandj:v:85:y:1983:i:2:p:159-79 is not listed on IDEAS
    3. D. W. Jorgenson & Z. Griliches, 1967. "The Explanation of Productivity Change," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 34(3), pages 249-283.
    4. Thijs ten Raa & Pierre Mohnen, 2009. "Neoclassical Growth Accounting and Frontier Analysis: A Synthesis," World Scientific Book Chapters, in: Input–Output Economics: Theory And Applications Featuring Asian Economies, chapter 19, pages 347-370, World Scientific Publishing Co. Pte. Ltd..
    5. Fare, Rolf & Grosskopf, Shawna & Zelenyuk, Valentin, 2002. "Finding Common Ground: Efficiency Indices," MPRA Paper 28004, University Library of Munich, Germany, revised Jan 2005.
    6. Finn Førsund & Nikias Sarafoglou, 2002. "On the Origins of Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 17(1), pages 23-40, January.
    7. W. Erwin Diewert, 2001. "Which (Old) Ideas on Productivity Measurement Are Ready to Use?," NBER Chapters, in: New Developments in Productivity Analysis, pages 85-102, National Bureau of Economic Research, Inc.
    8. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    9. Fare, Rolf & Knox Lovell, C. A., 1978. "Measuring the technical efficiency of production," Journal of Economic Theory, Elsevier, vol. 19(1), pages 150-162, October.
    10. Charles R. Hulten & Edwin R. Dean & Michael J. Harper, 2001. "New Developments in Productivity Analysis," NBER Books, National Bureau of Economic Research, Inc, number hult01-1.
    11. Charles R. Hulten, 1978. "Growth Accounting with Intermediate Inputs," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 511-518.
    12. Caves, Douglas W & Christensen, Laurits R & Diewert, W Erwin, 1982. "The Economic Theory of Index Numbers and the Measurement of Input, Output, and Productivity," Econometrica, Econometric Society, vol. 50(6), pages 1393-1414, November.
    13. Zieschang, Kimberly D., 1984. "An extended farrell technical efficiency measure," Journal of Economic Theory, Elsevier, vol. 33(2), pages 387-396, August.
    14. Oulton,Nicholas & O'Mahony,Mary, 1994. "Productivity and Growth," Cambridge Books, Cambridge University Press, number 9780521453455, September.
    15. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
    16. Nishimizu, Mieko & Page, John M, Jr, 1982. "Total Factor Productivity Growth, Technological Progress and Technical Efficiency Change: Dimensions of Productivity Change in Yugoslavia, 1965-78," Economic Journal, Royal Economic Society, vol. 92(368), pages 920-936, December.
    17. Wolff, Edward N., 1994. "Productivity measurement within an input-output framework," Regional Science and Urban Economics, Elsevier, vol. 24(1), pages 75-92, February.
    18. E. Grifell-Tatjé & C. Lovell & J. Pastor, 1998. "A Quasi-Malmquist Productivity Index," Journal of Productivity Analysis, Springer, vol. 10(1), pages 7-20, July.
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    Cited by:

    1. Thijs ten Raa & Pierre Mohnen, 2009. "Competition and Performance: The Different Roles of Capital and Labor," World Scientific Book Chapters, in: Input–Output Economics: Theory And Applications Featuring Asian Economies, chapter 20, pages 371-388, World Scientific Publishing Co. Pte. Ltd..
    2. Thijs Raa, 2011. "Benchmarking and industry performance," Journal of Productivity Analysis, Springer, vol. 36(3), pages 285-292, December.
    3. Thijs ten Raa, 2012. "Performance measurement in an input-output framework," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 1(1), pages 1-5, December.
    4. Chunding Li & John Whalley, 2014. "How Close is Asia to Already Being A Trade Bloc?," NBER Working Papers 20424, National Bureau of Economic Research, Inc.
    5. Mark Voorneveld, 2014. "From preferences to Leontief utility," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(2), pages 197-204, October.
    6. Thijs ten Raa & Victoria Shestalova, 2021. "The Solow Residual, Domar Aggregation, and Inefficiency: A Synthesis of TFP Measures," World Scientific Book Chapters, in: Efficiency and Input-Output Analyses Theory and Applications, chapter 2, pages 23-38, World Scientific Publishing Co. Pte. Ltd..
    7. Jesus Pastor & C. Lovell & Juan Aparicio, 2012. "Families of linear efficiency programs based on Debreu’s loss function," Journal of Productivity Analysis, Springer, vol. 38(2), pages 109-120, October.
    8. Li, Chunding & Whalley, John, 2017. "How close is Asia already to being a trade bloc?," Journal of Comparative Economics, Elsevier, vol. 45(4), pages 847-864.

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    More about this item

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity
    • O47 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - Empirical Studies of Economic Growth; Aggregate Productivity; Cross-Country Output Convergence

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