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Technical Efficiency Evaluation: Naturally Dual!

  • Laurens Cherchye

    ()

  • Tom Van Puyenbroeck

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.

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File URL: http://www.econ.kuleuven.ac.be/ew/academic/econover/Papers/wptchff.pdf
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Paper provided by Katholieke Universiteit Leuven, Centrum voor Economische Studiën, Working Group Public Economics in its series Public Economics Working Paper Series with number wptchff.

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Length: 23 pp.
Date of creation: 2001
Date of revision:
Handle: RePEc:wpe:papers:wptchff
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  1. 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 568-98, October.
  2. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
  3. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-75, March-Apr.
  4. 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.
  5. Laurens CHERCHYE & Tom VAN PUYENBROECK, 1999. "Product Mixes as Objects of Choice in Nonparametric Efficiency Measurement," Center for Economic Studies - Discussion papers ces9901, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
  6. 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.
  7. Charnes, A. & Cooper, W. W. & Golany, B. & Seiford, L. & Stutz, J., 1985. "Foundations of data envelopment analysis for Pareto-Koopmans efficient empirical production functions," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 91-107.
  8. 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.
  9. Fare, Rolf & Grosskopf, Shawna & Lovell, C A Knox, 1983. " The Structure of Technical Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 181-90.
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