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Global and local technical changes: A new decomposition of the Malmquist productivity index using virtual units

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  • Aparicio, Juan
  • Santín, Daniel

Abstract

In estimating productivity change over time, technical change is frequently miscalculated as the geometric average of technological changes between two periods based on firm-specific information in the dataset. However, the frontier shift over time is a global phenomenon linked to relative technological progress or regress across the entire frontiers. In this paper, we fill this gap by determining the technical change using synthetic observations generated at random within a unit hypercube and calculating the distances between them and the two frontiers being evaluated. Accordingly, we propose a decomposition of the Malmquist index's traditional technical change into two components: average global technical change, which is shared by all production units, and local technical change, which captures how each firm experiences global technical change. In this way, our approach establishes a new research avenue in production economics based on using randomly generated virtual points to assess overall phenomena.

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  • Aparicio, Juan & Santín, Daniel, 2024. "Global and local technical changes: A new decomposition of the Malmquist productivity index using virtual units," Economic Modelling, Elsevier, vol. 134(C).
    • Handle: RePEc:eee:ecmode:v:134:y:2024:i:c:s0264999324000300
    DOI: 10.1016/j.econmod.2024.106674
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    1. Simar, L. & Wilson, P.W., 1998. "Productivity Growth in Industrialized Countries," Papers 9810, Catholique de Louvain - Institut de statistique.
    2. Ray, Subhash C & Desli, Evangelia, 1997. "Productivity Growth, Technical Progress, and Efficiency Change in Industrialized Countries: Comment," American Economic Review, American Economic Association, vol. 87(5), pages 1033-1039, December.
    3. Kristof De Witte & Laura López-Torres, 2017. "Efficiency in education: a review of literature and a way forward," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 68(4), pages 339-363, April.
    4. Bruce Hollingsworth, 2008. "The measurement of efficiency and productivity of health care delivery," Health Economics, John Wiley & Sons, Ltd., vol. 17(10), pages 1107-1128, October.
    5. Aparicio, Juan & López-Torres, Laura & Santín, Daniel, 2018. "Economic crisis and public education. A productivity analysis using a Hicks-Moorsteen index," Economic Modelling, Elsevier, vol. 71(C), pages 34-44.
    6. C. Lovell, 2003. "The Decomposition of Malmquist Productivity Indexes," Journal of Productivity Analysis, Springer, vol. 20(3), pages 437-458, November.
    7. Pourmahmoud, Jafar & Bagheri, Narges, 2023. "Uncertain Malmquist productivity index: An application to evaluate healthcare systems during COVID-19 pandemic," Socio-Economic Planning Sciences, Elsevier, vol. 87(PA).
    8. Robert G. Chambers & Rulon D. Pope, 1996. "Aggregate Productivity Measures," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 78(5), pages 1360-1365.
    9. Henry Tulkens & Philippe Eeckaut, 2006. "Nonparametric Efficiency, Progress and Regress Measures For Panel Data: Methodological Aspects," Springer Books, in: Parkash Chander & Jacques Drèze & C. Knox Lovell & Jack Mintz (ed.), Public goods, environmental externalities and fiscal competition, chapter 0, pages 395-429, Springer.
    10. Giacalone, Massimiliano & Nissi, Eugenia & Cusatelli, Carlo, 2020. "Dynamic efficiency evaluation of Italian judicial system using DEA based Malmquist productivity indexes," Socio-Economic Planning Sciences, Elsevier, vol. 72(C).
    11. Menggen Chen & Songyangyang Zhao & Jiawen Wang, 2023. "The Impact of the Digital Economy on Regional Carbon Emissions: Evidence from China," Sustainability, MDPI, vol. 15(20), pages 1-34, October.
    12. Alexakis, Christos & Izzeldin, Marwan & Johnes, Jill & Pappas, Vasileios, 2019. "Performance and productivity in Islamic and conventional banks: Evidence from the global financial crisis," Economic Modelling, Elsevier, vol. 79(C), pages 1-14.
    13. 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.
    14. Wheelock, David C & Wilson, Paul W, 1999. "Technical Progress, Inefficiency, and Productivity Change in U.S. Banking, 1984-1993," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 31(2), pages 212-234, May.
    15. A. Camanho & R. Dyson, 2006. "Data envelopment analysis and Malmquist indices for measuring group performance," Journal of Productivity Analysis, Springer, vol. 26(1), pages 35-49, August.
    16. Ozbugday, Fatih Cemil & Tirgil, Abdullah & Kose, Elif Gul, 2020. "Efficiency changes in long-term care in OECD countries: A non-parametric Malmquist Index approach," Socio-Economic Planning Sciences, Elsevier, vol. 70(C).
    17. Wei, Wei & Zhang, Wan-Li & Wen, Jun & Wang, Jun-Sheng, 2020. "TFP growth in Chinese cities: The role of factor-intensity and industrial agglomeration," Economic Modelling, Elsevier, vol. 91(C), pages 534-549.
    18. Aparicio, Juan & Pastor, Jesus T. & Vidal, Fernando, 2016. "The directional distance function and the translation invariance property," Omega, Elsevier, vol. 58(C), pages 1-3.
    19. Pontus Mattsson & Jonas Månsson & Christian Andersson & Fredrik Bonander, 2018. "A bootstrapped Malmquist index applied to Swedish district courts," European Journal of Law and Economics, Springer, vol. 46(1), pages 109-139, August.
    20. 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.
    21. Bjurek, Hans & Hjalmarsson, Lennart, 1995. "Productivity in multiple output public service: A quadratic frontier function and Malmquist index approach," Journal of Public Economics, Elsevier, vol. 56(3), pages 447-460, March.
    22. Jimenez, Javier Salinas & Chaparro, Francisco Pedraja & Smith, Peter C., 2003. "Evaluating the introduction of a quasi-market in community care," Socio-Economic Planning Sciences, Elsevier, vol. 37(1), pages 1-13, March.
    23. Chambers, Robert G. & Fare, Rolf & Grosskopf, Shawna, 1996. "Productivity Growth in APEC Countries," Working Papers 197843, University of Maryland, Department of Agricultural and Resource Economics.
    24. Zhou, Di & Yin, Xiaoshuo & Xie, Dongchun, 2023. "Local governments’ environmental targets and green total factor productivity in Chinese cities," Economic Modelling, Elsevier, vol. 120(C).
    25. Gilbert, R. Alton & Wilson, Paul W., 1998. "Effects of Deregulation on the Productivity of Korean Banks," Journal of Economics and Business, Elsevier, vol. 50(2), pages 133-155, March.
    26. Aparicio, Juan & Santin, Daniel, 2018. "A note on measuring group performance over time with pseudo-panels," European Journal of Operational Research, Elsevier, vol. 267(1), pages 227-235.
    27. Soltane Bassem, Ben, 2014. "Total factor productivity change of MENA microfinance institutions: A Malmquist productivity index approach," Economic Modelling, Elsevier, vol. 39(C), pages 182-189.
    28. 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.
    29. Ben Lahouel, Béchir & Taleb, Lotfi & Ben Zaied, Younes & Managi, Shunsuke, 2022. "Does primary stakeholder management improve competitiveness? A dynamic network non-parametric frontier approach," Economic Modelling, Elsevier, vol. 116(C).
    30. Pontus Mattsson & Jonas Månsson & Christian Andersson & Fredrik Bonander, 2018. "Correction to: A bootstrapped Malmquist index applied to Swedish district courts," European Journal of Law and Economics, Springer, vol. 46(1), pages 141-142, August.
    31. Huang, Junbing & Du, Dan & Hao, Yu, 2017. "The driving forces of the change in China's energy intensity: An empirical research using DEA-Malmquist and spatial panel estimations," Economic Modelling, Elsevier, vol. 65(C), pages 41-50.
    32. Guo, Bingnan & Wang, Yu & Zhang, Hao & Liang, Chunyan & Feng, Yu & Hu, Feng, 2023. "Impact of the digital economy on high-quality urban economic development: Evidence from Chinese cities," Economic Modelling, Elsevier, vol. 120(C).
    33. Tsunehiro Otsuki, 2013. "Nonparametric measurement of the overall shift in the technology frontier: an application to multiple-output agricultural production data in the Brazilian Amazon," Empirical Economics, Springer, vol. 44(3), pages 1455-1475, June.
    34. Falavigna, Greta & Ippoliti, Roberto & Ramello, Giovanni B., 2018. "DEA-based Malmquist productivity indexes for understanding courts reform," Socio-Economic Planning Sciences, Elsevier, vol. 62(C), pages 31-43.
    35. Mette Asmild & Fai Tam, 2007. "Estimating global frontier shifts and global Malmquist indices," Journal of Productivity Analysis, Springer, vol. 27(2), pages 137-148, April.
    36. Arbona, Alexei & Giménez, Víctor & López-Estrada, Sebastián & Prior, Diego, 2022. "Efficiency and quality in Colombian education: An application of the metafrontier Malmquist-Luenberger productivity index," Socio-Economic Planning Sciences, Elsevier, vol. 79(C).
    37. Rikard Althin, 2001. "Measurement of Productivity Changes: Two Malmquist Index Approaches," Journal of Productivity Analysis, Springer, vol. 16(2), pages 107-128, September.
    38. Ge, Tao & Li, Chunying & Li, Jinye & Hao, Xionglei, 2023. "Does neighboring green development benefit or suffer from local economic growth targets? Evidence from China," Economic Modelling, Elsevier, vol. 120(C).
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    More about this item

    Keywords

    Productivity change; Malmquist index; Global technical change; Local technical change; Unit hypercube; Virtual units;
    All these keywords.

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • 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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