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The Luenberger Productivity Indicator: An Economic Specifcation Leading to Infeasibilities

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Listed:
  • Walter Briec

    (University of Perpignan)

  • Kristiaan Kerstens

    (CNRS-LEM (UMR 8179), IESEG School of Management)

Abstract

This contribution points out a minor problem in the specifcation of technology when computing the Luenberger productivity indicator that has been hitherto ignored in the literature. The solution of this problem increases the likelihood that the directional distance functions underlying this productivity indicator are ill-defined.

Suggested Citation

  • Walter Briec & Kristiaan Kerstens, 2008. "The Luenberger Productivity Indicator: An Economic Specifcation Leading to Infeasibilities," Working Papers 2008-ECO-09, IESEG School of Management.
    • Handle: RePEc:ies:wpaper:e200809
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    2. Vouldis, Angelos T. & Michaelides, Panayotis G. & Tsionas, Efthymios G., 2010. "Estimating semi-parametric output distance functions with neural-based reduced form equations using LIML," Economic Modelling, Elsevier, vol. 27(3), pages 697-704, May.
    3. Färe, Rolf & Grosskopf, Shawna & Lundgren, Tommy & Marklund, Per-Olov & Zhou, Wenchao, 2012. "Productivity: Should We Include Bads?," CERE Working Papers 2012:13, CERE - the Center for Environmental and Resource Economics.
    4. Xiang Chen, 2018. "An allocation productivity indicator: Application in Taiwanese banks," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 8(5), pages 1-2.
    5. Aparicio, Juan & Garcia-Nove, Eva M. & Kapelko, Magdalena & Pastor, Jesus T., 2017. "Graph productivity change measure using the least distance to the pareto-efficient frontier in data envelopment analysis," Omega, Elsevier, vol. 72(C), pages 1-14.
    6. Epure, Mircea & Kerstens, Kristiaan & Prior, Diego, 2011. "Bank productivity and performance groups: A decomposition approach based upon the Luenberger productivity indicator," European Journal of Operational Research, Elsevier, vol. 211(3), pages 630-641, June.
    7. Kapelko, M. & Horta, I.M. & Camanho, A.S. & Oude Lansink, A., 2015. "Measurement of input-specific productivity growth with an application to the construction industry in Spain and Portugal," International Journal of Production Economics, Elsevier, vol. 166(C), pages 64-71.
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    9. Balk, Bert M., 2018. "Profit-oriented productivity change: A comment," Omega, Elsevier, vol. 78(C), pages 176-178.
    10. Kapelko, Magdalena & Oude Lansink, Alfons & Stefanou, Spiro E., 2015. "Analyzing the impact of investment spikes on dynamic productivity growth," Omega, Elsevier, vol. 54(C), pages 116-124.
    11. Aparicio, Juan & Ortiz, Lidia & Santín, Daniel, 2021. "Comparing group performance over time through the Luenberger productivity indicator: An application to school ownership in European countries," European Journal of Operational Research, Elsevier, vol. 294(2), pages 651-672.
    12. Barros, Carlos P. & Guironnet, Jean-Pascal & Peypoch, Nicolas, 2011. "Productivity growth and biased technical change in French higher education," Economic Modelling, Elsevier, vol. 28(1), pages 641-646.
    13. Briec, Walter & Dumas, Audrey & Kerstens, Kristiaan & Stenger, Agathe, 2022. "Generalised commensurability properties of efficiency measures: Implications for productivity indicators," European Journal of Operational Research, Elsevier, vol. 303(3), pages 1481-1492.
    14. Juan Aparicio & Fernando Borras & Lidia Ortiz & Jesus T. Pastor & Fernando Vidal, 2019. "Luenberger-type indicators based on the weighted additive distance function," Annals of Operations Research, Springer, vol. 278(1), pages 195-213, July.
    15. Magdalena Kapelko, 2019. "Measuring productivity change accounting for adjustment costs: evidence from the food industry in the European Union," Annals of Operations Research, Springer, vol. 278(1), pages 215-234, July.
    16. Wang, Ke & Wei, Yi-Ming, 2016. "Sources of energy productivity change in China during 1997–2012: A decomposition analysis based on the Luenberger productivity indicator," Energy Economics, Elsevier, vol. 54(C), pages 50-59.
    17. Theodoros Skevas & Jasper Grashuis, 2023. "Evaluating dynamic productivity change of US farm supply cooperatives," Agribusiness, John Wiley & Sons, Ltd., vol. 39(4), pages 1238-1253, October.
    18. Fukuyama, Hirofumi & Matousek, Roman & Tzeremes, Nickolaos G., 2022. "Bank production with nonperforming loans: A minimum distance directional slack inefficiency approach," Omega, Elsevier, vol. 113(C).
    19. Radek Doskocil, 2022. "The Multicriteria Assessment of the Green Growth in the Context of the European Union’s Green Deal," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 24(61), pages 739-739, August.
    20. Juo, Jia-Ching & Fu, Tsu-Tan & Yu, Ming-Miin & Lin, Yu-Hui, 2016. "Non-radial profit performance: An application to Taiwanese banks," Omega, Elsevier, vol. 65(C), pages 111-121.
    21. Juan Aparicio & José L. Zofío & Jesús T. Pastor, 2023. "Decomposing Economic Efficiency into Technical and Allocative Components: An Essential Property," Journal of Optimization Theory and Applications, Springer, vol. 197(1), pages 98-129, April.
    22. Briec, Walter & Dumas, Audrey & Stenger, Agathe, 2013. "On the standard achievement and well-being indexes and their relation to the Hicks–Moorsteen productivity index," Economic Modelling, Elsevier, vol. 35(C), pages 900-909.

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    More about this item

    Keywords

    Luenberger productivity indicator; infeasibility;

    JEL classification:

    • C43 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Index Numbers and Aggregation
    • D21 - Microeconomics - - Production and Organizations - - - Firm Behavior: Theory
    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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