IDEAS home Printed from https://ideas.repec.org/p/icr/wpicer/14-2002.html
   My bibliography  Save this paper

Are all scales optimal in Dea? Theory and empirical evidence

Author

Listed:
  • Lennart Hjalmarsson

    ()

  • Finn R. FF8rsund

    ()

Abstract

Policy recommendations concerning optimal scale of production units often have serious implications for the restructuring of a sector, while tests of natural monopoly have important implications for regulatory structure. The piecewise linear frontier production function framework is becoming the most popular one for assessing not only technical efficiency of operations, but also for scale efficiency and calculation of optimal scale sizes. The main purpose of the present study is to check if neoclassical production theory gives any guidance as to the nature of scale properties in the DEA model, and to empirically investigate such properties. The empirical results indicate that optimal scale may be found over almost the entire size variations in outputs and inputs, thus making policy recommendations about scale efficiency dubious. It is necessary to establish the nature of optimal scale before any practical use can be made. Proposals for such indexes that should be calculated are provided.

Suggested Citation

  • Lennart Hjalmarsson & Finn R. FF8rsund, 2002. "Are all scales optimal in Dea? Theory and empirical evidence," ICER Working Papers 14-2002, ICER - International Centre for Economic Research.
  • Handle: RePEc:icr:wpicer:14-2002
    as

    Download full text from publisher

    File URL: http://www.biblioecon.unito.it/biblioservizi/RePEc/icr/wp2002/forsund14-02.pdf
    Download Restriction: no

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    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. Banker, R. D. & Bardhan, I. & Cooper, W. W., 1996. "A note on returns to scale in DEA," European Journal of Operational Research, Elsevier, vol. 88(3), pages 583-585, February.
    4. Banker, Rajiv D., 1984. "Estimating most productive scale size using data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 17(1), pages 35-44, July.
    5. Hjalmarsson, Lennart & Veiderpass, Ann, 1992. " Productivity in Swedish Electricity Retail Distribution," Scandinavian Journal of Economics, Wiley Blackwell, vol. 94(0), pages 193-205, Supplemen.
    6. Hanoch, Giora, 1970. "Homotheticity in joint production," Journal of Economic Theory, Elsevier, vol. 2(4), pages 423-426, December.
    7. John C. Panzar & Robert D. Willig, 1977. "Economies of Scale in Multi-Output Production," The Quarterly Journal of Economics, Oxford University Press, vol. 91(3), pages 481-493.
    8. Starrett, David A, 1977. "Measuring Returns to Scale in the Aggregate, and the Scale Effect of Public Goods," Econometrica, Econometric Society, vol. 45(6), pages 1439-1455, September.
    9. Simar, Leopold & Wilson, Paul W., 2002. "Non-parametric tests of returns to scale," European Journal of Operational Research, Elsevier, vol. 139(1), pages 115-132, May.
    10. N/A, 1996. "Note:," Foreign Trade Review, , vol. 31(1-2), pages 1-1, January.
    11. Jamasb, T. & Pollitt, M., 2000. "Benchmarking and regulation: international electricity experience," Utilities Policy, Elsevier, vol. 9(3), pages 107-130, September.
    12. Kim, H Youn, 1987. "Economies of Scale in Multi-product Firms: An Empirical Analysis," Economica, London School of Economics and Political Science, vol. 54(214), pages 185-206, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. repec:pal:jorsoc:v:55:y:2004:i:10:d:10.1057_palgrave.jors.2601741 is not listed on IDEAS
    2. Førsund, Finn R. & Kittelsen, Sverre A. & Krivonozhko, Vladimir E., 2007. "Farrell Revisited: Visualising the DEA Production Frontier," Memorandum 15/2007, Oslo University, Department of Economics.
    3. Olesen, Ole Bent & Petersen, Niels Christian, 2013. "Imposing the Regular Ultra Passum law in DEA models," Omega, Elsevier, vol. 41(1), pages 16-27.
    4. repec:eee:soceps:v:61:y:2018:i:c:p:37-43 is not listed on IDEAS
    5. Forsund, Finn R. & Sarafoglou, Nikias, 2005. "The tale of two research communities: The diffusion of research on productive efficiency," International Journal of Production Economics, Elsevier, vol. 98(1), pages 17-40, October.
    6. Olesen, Ole B. & Ruggiero, John, 2014. "Maintaining the Regular Ultra Passum Law in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 235(3), pages 798-809.
    7. Tone, Kaoru & Sahoo, Biresh K., 2004. "Degree of scale economies and congestion: A unified DEA approach," European Journal of Operational Research, Elsevier, vol. 158(3), pages 755-772, November.
    8. Kaoru Tone & Miki Tsutsui, 2013. "How to deal with S-shaped curve in DEA," GRIPS Discussion Papers 13-10, National Graduate Institute for Policy Studies.
    9. Erbetta, Fabrizio & Rappuoli, Luca, 2008. "Optimal scale in the Italian gas distribution industry using data envelopment analysis," Omega, Elsevier, vol. 36(2), pages 325-336, April.
    10. Førsund, Finn R. & Kittelsen, Sverre A.C & Lindseth, Frode, 2005. "Efficiency And Productivity Of Norwegian Tax Offices," Memorandum 29/2005, Oslo University, Department of Economics.
    11. repec:pal:jorsoc:v:60:y:2009:i:11:d:10.1057_jors.2008.185 is not listed on IDEAS
    12. Asmild, Mette & Paradi, Joseph C. & Reese, David N., 2006. "Theoretical perspectives of trade-off analysis using DEA," Omega, Elsevier, vol. 34(4), pages 337-343, August.
    13. Cesaroni, Giovanni & Giovannola, Daniele, 2015. "Average-cost efficiency and optimal scale sizes in non-parametric analysis," European Journal of Operational Research, Elsevier, vol. 242(1), pages 121-133.
    14. Rodrigo Gómez Monge, 2012. "El sector bancario en México, los depósitos a plazo y las cuentas de ahorro: un análisis de eficiencia durante el periodo de internacionalización a través de la envolvente de datos (dea)," REVISTA CIENCIAS ESTRATÉGICAS, UNIVERSIDAD PONTIFICIA BOLIVARIANA, June.
    15. Stefan Seifert, 2016. "Semi-Parametric Measures of Scale Characteristics of German Natural Gas-Fired Electricity Generation," Discussion Papers of DIW Berlin 1571, DIW Berlin, German Institute for Economic Research.
    16. Subal Kumbhakar & Roar Amundsveen & Hilde Kvile & Gudbrand Lien, 2015. "Scale economies, technical change and efficiency in Norwegian electricity distribution, 1998–2010," Journal of Productivity Analysis, Springer, vol. 43(3), pages 295-305, June.

    More about this item

    Keywords

    Optimal scale; scale elasticity; data envelopment analysis (DEA); frontier production functions; duals;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D20 - Microeconomics - - Production and Organizations - - - General
    • L11 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Production, Pricing, and Market Structure; Size Distribution of Firms
    • L52 - Industrial Organization - - Regulation and Industrial Policy - - - Industrial Policy; Sectoral Planning Methods

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:icr:wpicer:14-2002. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Simone Pellegrino). General contact details of provider: http://edirc.repec.org/data/icerrit.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.