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Axiomatic foundations of efficiency measurement on data-generated technologies

  • R. Russell

    ()

  • William Schworm

    ()

Dmitruk and Koshevoy [1991 JET] provided a complete characterization of the class of technologies for which there exists an efficiency index satisfying the Fare-Lovell [1978 JET] axioms. The technologies implicit in the standard mathematical-programming methods of measuring efficiency, data envelopment analysis (DEA) and free-disposal-hull (FDH) analysis, belong to this class. We assess the ability of three well-known indexes, the Debreu-Farrell index, the Fare-Lovell index, and the Zieschang index, to satisfy not only the Fare-Lovell axioms but also continuity axioms (for technologies as well as input quantities), on this restricted class of technologies. Our principal conclusions are that (a) restriction to these data-based technologies adds continuity in input quantities to the properties satisfied by the Fare-Lovell and the Zieschang indexes (thus eliminating a salient advantage of the Debreu-Farrell index), but (b) none of the indexes satisfies all Fare-Lovell axioms (nor all continuity axioms) on either DEA or FDH technologies, and hence (c) trade-offs among the indexes remain. These findings provide motivation for the search for an index that does satisfy these axioms on DEA and FDH technologies.

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File URL: http://hdl.handle.net/10.1007/s11123-008-0119-1
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Article provided by Springer in its journal Journal of Productivity Analysis.

Volume (Year): 31 (2009)
Issue (Month): 2 (April)
Pages: 77-86

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Handle: RePEc:kap:jproda:v:31:y:2009:i:2:p:77-86
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  1. Allen N. Berger & David B. Humphrey, 1997. "Efficiency of Financial Institutions: International Survey and Directions for Future Research," Center for Financial Institutions Working Papers 97-05, Wharton School Center for Financial Institutions, University of Pennsylvania.
  2. 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.
  3. Dmitruk, Andrei V. & Koshevoy, Gleb A., 1991. "On the existence of a technical efficiency criterion," Journal of Economic Theory, Elsevier, vol. 55(1), pages 121-144, October.
  4. Pollitt, Michael G, 1996. "Ownership and Efficiency in Nuclear Power Production," Oxford Economic Papers, Oxford University Press, vol. 48(2), pages 342-60, April.
  5. R. Robert Russell & William Schworm, 2009. "Axiomatic Foundations of Inefficiency Measurement on ," Discussion Papers 2009-07, School of Economics, The University of New South Wales.
  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. DEPRINS, Dominique & SIMAR, Léopold & TULKENS, Henry, . "Measuring labor-efficiency in post offices," CORE Discussion Papers RP -571, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Robert Russell, R., 1990. "Continuity of measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 51(2), pages 255-267, August.
  9. Fare, Rolf & Grosskopf, Shawna & Noh, Dong-Woon & Weber, William, 2005. "Characteristics of a polluting technology: theory and practice," Journal of Econometrics, Elsevier, vol. 126(2), pages 469-492, June.
  10. Daniel J. Henderson & R. Robert Russell, 2005. "Human Capital And Convergence: A Production-Frontier Approach ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(4), pages 1167-1205, November.
  11. Zieschang, Kimberly D., 1984. "An extended farrell technical efficiency measure," Journal of Economic Theory, Elsevier, vol. 33(2), pages 387-396, August.
  12. Luenberger, David G., 1992. "Benefit functions and duality," Journal of Mathematical Economics, Elsevier, vol. 21(5), pages 461-481.
  13. Subodh Kumar & R. Robert Russell, 2002. "Technological Change, Technological Catch-up, and Capital Deepening: Relative Contributions to Growth and Convergence," American Economic Review, American Economic Association, vol. 92(3), pages 527-548, June.
  14. Robert Russell, R., 1985. "Measures of technical efficiency," Journal of Economic Theory, Elsevier, vol. 35(1), pages 109-126, February.
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