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Nonparametric cost and revenue functions under constant economies of scale: A simplification for the single output or input case


  • Briec, Walter

    () (UniversitĀ“e de Perpignan, Perpignan, France)

  • Kerstens, Kristiaan

    () (IESEG School of Management, Lille, France)

  • Van de Woestyne, Ignace

    () (Hogeschool-Universiteit Brussel (HUB), Belgium)


This note shows how the linear programs needed to compute cost and revenue functions under constant returns to scale and a single output or input, respectively, can be replaced with a more efficient enumeration algorithm. An empirical illustration shows the gain in computer time one can obtain.

Suggested Citation

  • Briec, Walter & Kerstens, Kristiaan & Van de Woestyne, Ignace, 2011. "Nonparametric cost and revenue functions under constant economies of scale: A simplification for the single output or input case," Working Papers 2011/12, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  • Handle: RePEc:hub:wpecon:201112

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    References listed on IDEAS

    1. Fare, Rolf & Grosskopf, Shawna & Lovell, C A Knox, 1983. " The Structure of Technical Efficiency," Scandinavian Journal of Economics, Wiley Blackwell, vol. 85(2), pages 181-190.
    2. Scott E. Atkinson & Jeffrey H. Dorfman, 2009. "Feasible estimation of firm-specific allocative inefficiency through Bayesian numerical methods," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(4), pages 675-697.
    3. 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.
    4. de Borger, Bruno & Kerstens, Kristiaan & Staat, Matthias, 2008. "Transit costs and cost efficiency: Bootstrapping non-parametric frontiers," Research in Transportation Economics, Elsevier, vol. 23(1), pages 53-64, January.
    5. S. Illeris & G. Akehurst, 2001. "Introduction," The Service Industries Journal, Taylor & Francis Journals, vol. 21(1), pages 1-4, January.
    6. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
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    More about this item


    nonparametric cost and revenue functions;

    JEL classification:

    • D24 - Microeconomics - - Production and Organizations - - - Production; Cost; Capital; Capital, Total Factor, and Multifactor Productivity; Capacity

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