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Measuring returns to scale in DEA models when the firm is regulated

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  • Ouellette, Pierre
  • Quesnel, Jean-Patrice
  • Vigeant, Stéphane

Abstract

In the standard framework of data envelopment analysis (DEA) models, the returns to scale are fully characterized using the multiplier on the convexity constraint of inefficient decision making units (DMU) using the projection of the input–output vector on the frontier. In this note, we investigate how the returns to scale measurements in DEA models are affected by the presence of regulatory constraints. These additional constraints change the role played by the convexity constraint. In order to avoid biased estimation of the returns to scale, we show that the interaction between the regulatory and the convexity constraints has to be taken into account.

Suggested Citation

  • Ouellette, Pierre & Quesnel, Jean-Patrice & Vigeant, Stéphane, 2012. "Measuring returns to scale in DEA models when the firm is regulated," European Journal of Operational Research, Elsevier, vol. 220(2), pages 571-576.
    • Handle: RePEc:eee:ejores:v:220:y:2012:i:2:p:571-576
    DOI: 10.1016/j.ejor.2012.01.048
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    References listed on IDEAS

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    1. Banker, Rajiv D. & Thrall, R. M., 1992. "Estimation of returns to scale using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 62(1), pages 74-84, October.
    2. Baumol, William J, 1982. "Contestable Markets: An Uprising in the Theory of Industry Structure," American Economic Review, American Economic Association, vol. 72(1), pages 1-15, March.
    3. F R Førsund & L Hjalmarsson, 2004. "Calculating scale elasticity in DEA models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(10), pages 1023-1038, October.
    4. Ouellette, Pierre & Vierstraete, Valerie, 2004. "Technological change and efficiency in the presence of quasi-fixed inputs: A DEA application to the hospital sector," European Journal of Operational Research, Elsevier, vol. 154(3), pages 755-763, May.
    5. Pierre Lasserre & Pierre Ouellette, 1994. "Factor Demands, Cost Functions, and Technology Measurements for Regulated Firms," Canadian Journal of Economics, Canadian Economics Association, vol. 27(1), pages 218-242, February.
    6. Pierre Ouellette & Stéphane Vigeant, 2001. "On the existence of a regulated production function," Journal of Economics, Springer, vol. 73(2), pages 193-200, June.
    7. Rajiv D. Banker & Ram Natarajan, 2008. "Evaluating Contextual Variables Affecting Productivity Using Data Envelopment Analysis," Operations Research, INFORMS, vol. 56(1), pages 48-58, February.
    8. 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.
    9. Rajiv D. Banker & Richard C. Morey, 1986. "The Use of Categorical Variables in Data Envelopment Analysis," Management Science, INFORMS, vol. 32(12), pages 1613-1627, December.
    10. Nadiri, M. Ishaq, 1993. "Producers theory," Handbook of Mathematical Economics, in: K. J. Arrow & M.D. Intriligator (ed.), Handbook of Mathematical Economics, edition 4, volume 2, chapter 10, pages 431-490, Elsevier.
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    Cited by:

    1. Vigeant, Stéphane, 2016. "From partial derivatives of DEA frontiers to marginal products, marginal rates of substitution, and returns to scaleAuthor-Name: Ouellette, Pierre," European Journal of Operational Research, Elsevier, vol. 253(3), pages 880-887.
    2. Hajar Haghighatpisheh & Sohrab Kordrostami & Alireza Amirteimoori & Farhad Hosseinzadeh Lotfi, 2022. "Optimal scale sizes in input–output allocative data envelopment analysis models," Annals of Operations Research, Springer, vol. 315(2), pages 1455-1476, August.
    3. Venkatesh, Anand & Kushwaha, Shivam, 2018. "Short and long-run cost efficiency in Indian public bus companies using Data Envelopment Analysis," Socio-Economic Planning Sciences, Elsevier, vol. 61(C), pages 29-36.

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