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Measuring the shift in the short-run production frontier

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  • Hideyuki Mizobuchi

    (Ryukoku University)

Abstract

We introduce two labour productivity indexes. Both indexes are intended to capture the shift in the short-run production frontier, which can be attributed to technological progress or growth in capital inputs. The two indexes adopt distinct approaches to measuring the distance between the production frontiers. One is based on the distance function and the other is based on the profit function. In the end, we show that these two theoretical measures coincide with the index number formulae that are computable from the observable prices and quantities of output and input. By applying these formulae to the U.S. industry data of the years 1970–2005, we compare newly proposed labour productivity indexes with the average labour productivity growth over periods and across industries. We revisit the hypothesis of Baumol’s disease throughout our observations on the trend of industry labour productivities in the service sector.

Suggested Citation

  • Hideyuki Mizobuchi, 2022. "Measuring the shift in the short-run production frontier," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 271-300, April.
    • Handle: RePEc:spr:eaiere:v:19:y:2022:i:1:d:10.1007_s40844-021-00212-6
    DOI: 10.1007/s40844-021-00212-6
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    1. Dale W. Jorgenson & Mun S. Ho & Kevin J. Stiroh, 2008. "A Retrospective Look at the U.S. Productivity Growth Resurgence," Journal of Economic Perspectives, American Economic Association, vol. 22(1), pages 3-24, Winter.
    2. Paul A. Samuelson, 1953. "Prices of Factors and Goods in General Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 21(1), pages 1-20.
    3. Kohli, Ulrich, 2004. "Real GDP, real domestic income, and terms-of-trade changes," Journal of International Economics, Elsevier, vol. 62(1), pages 83-106, January.
    4. Jack E. Triplett & Barry P. Bosworth, 2008. "The State of Data for Services Productivity Measurement in the United States," International Productivity Monitor, Centre for the Study of Living Standards, vol. 16, pages 53-71, Spring.
    5. Dale W. Jorgenson, 2001. "Information Technology and the U.S. Economy," Higher School of Economics Economic Journal Экономический журнал Высшей школы экономики, CyberLeninka;Федеральное государственное автономное образовательное учреждение высшего образования «Национальный исследовательский университет «Высшая школа экономики», vol. 5(1), pages 3-34.
    6. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    7. Mary O'Mahony & Marcel P. Timmer, 2009. "Output, Input and Productivity Measures at the Industry Level: The EU KLEMS Database," Economic Journal, Royal Economic Society, vol. 119(538), pages 374-403, June.
    8. Fare, Rolf & Shawna Grosskopf & Mary Norris & Zhongyang Zhang, 1994. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries," American Economic Review, American Economic Association, vol. 84(1), pages 66-83, March.
    9. Diewart, W Erwin & Morrison, Catherine J, 1986. "Adjusting Output and Productivity Indexes for Changes in the Terms of Trade," Economic Journal, Royal Economic Society, vol. 96(383), pages 659-679, September.
    10. Hideyuki Mizobuchi & Valentin Zelenyuk, 2021. "Quadratic-mean-of-order-r indexes of output, input and productivity," Journal of Productivity Analysis, Springer, vol. 56(2), pages 133-138, December.
    11. 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.
    12. Diewert, Erwin & Mizobuchi, Hideyuki, 2009. "An Economic Approach to the Measurement of Productivity Growth Using Differences Instead of Ratios," Economics working papers erwin_diewert-2009-2, Vancouver School of Economics, revised 09 Jan 2009.
    13. Channing Arndt & Thomas W. Hertel & Paul V. Preckel, 2003. "Bridging the Gap between Partial and Total Factor Productivity Measures Using Directional Distance Functions," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 928-942.
    14. Hideyuki Mizobuchi, 2014. "Returns to scale effect in labour productivity growth," Journal of Productivity Analysis, Springer, vol. 42(3), pages 293-304, December.
    15. Diewert, W Erwin, 1978. "Superlative Index Numbers and Consistency in Aggregation," Econometrica, Econometric Society, vol. 46(4), pages 883-900, July.
    16. 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.
    17. Hulten, Charles R, 1973. "Divisia Index Numbers," Econometrica, Econometric Society, vol. 41(6), pages 1017-1025, November.
    18. Bert M. Balk, 2005. "Divisia price and quantity indices: 80 years after," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 119-158, May.
    19. Mizobuchi, Hideyuki, 2010. "New indices of labour productivity growth: Baumol’s disease revisited," MPRA Paper 31151, University Library of Munich, Germany.
    20. Diewert, W. E., 1976. "Exact and superlative index numbers," Journal of Econometrics, Elsevier, vol. 4(2), pages 115-145, May.
    21. Harold Hotelling, 1932. "Edgeworth's Taxation Paradox and the Nature of Demand and Supply Functions," Journal of Political Economy, University of Chicago Press, vol. 40(5), pages 577-577.
    22. Diewert, W. Erwin & Nakamura, Alice O., 2007. "The Measurement of Productivity for Nations," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 6, chapter 66, Elsevier.
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    Cited by:

    1. Hiroaki Sasaki, 2022. "Special feature: economic dynamics—growth, capital, labor, technology, and money," Evolutionary and Institutional Economics Review, Springer, vol. 19(1), pages 159-167, April.

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    More about this item

    Keywords

    Labour productivity; Index numbers; Malmquist index; Törnqvist index; Output distance function; Input distance function; Baumol’s disease; Service sector;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • 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
    • O51 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - U.S.; Canada

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