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Technical Efficiency Evaluation: Naturally Dual!

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  • Laurens Cherchye
  • Tom Van Puyenbroeck

Abstract

We provide a dual perspective on technical efficiency evaluation, in two respects. First, we build on the price assumptions implicitly associated with the notion of technical efficiency in a general equilibrium framework to characterize a set of appropriate references to be used in the technical efficiency evaluation of an input-output vector. Some existing evaluation methods always select an element of this set, but other methods fail to do so. Second, the above framework leads us to assert that a well-grounded measure of technical efficiency is naturally decomposable. One part refers to technical efficiency as captured by the classical Debreu-Farrell measure. The other part refers to technical efficiency resulting from the “implicit allocative efficiency” or “mix efficiency” of the evaluated vector. We present both a quantity-based distance measure and its price-based equivalent to evaluate this complementary dimension of technical efficiency. This generalized perspective encompasses the standard Debreu-Farrell framework for technical efficiency evaluation, and makes it fully consistent with the well-established Koopmans efficiency notion.

Suggested Citation

  • Laurens Cherchye & Tom Van Puyenbroeck, 2001. "Technical Efficiency Evaluation: Naturally Dual!," Public Economics Working Paper Series wptchff, Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics.
  • Handle: RePEc:wpe:papers:wptchff
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    References listed on IDEAS

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    1. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1, McMaster University Archive for the History of Economic Thought.
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    3. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    4. Cherchye, Laurens & Van Puyenbroeck, Tom, 2001. "Product mixes as objects of choice in non-parametric efficiency measurement," European Journal of Operational Research, Elsevier, vol. 132(2), pages 287-295, July.
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    11. J. v. Neumann, 1945. "A Model of General Economic Equilibrium," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 13(1), pages 1-9.
    12. Laurens Cherchye & Timo Kuosmanen & Thierry Post, 2001. "FDH Directional Distance Functions with an Application to European Commercial Banks," Journal of Productivity Analysis, Springer, vol. 15(3), pages 201-215, January.
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    Cited by:

    1. Cherchye, Laurens & Van Puyenbroeck, Tom, 2007. "Profit efficiency analysis under limited information with an application to German farm types," Omega, Elsevier, vol. 35(3), pages 335-349, June.

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