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Estimating Economies of Scale and Scope with Flexible Technology

  • Thomas Triebs


  • David S. Saal
  • Pablo Arocena
  • Subal C. Kumbhakar

Economies of scale and scope are typically modelled and estimated using cost functions that are common to all firms in an industry irrespective of whether they specialize in a single output or produce multiple outputs. We suggest an alternative flexible technology model that does not make this assumption and show how it can be estimated using standard parametric functions including the translog. The assumption of common technology is a special case of our model and is testable econometrically. Our application is for publicly owned US electric utilities. In our sample, we find evidence of economies of scale and vertical economies of scope. But the results do not support a common technology for integrated and specialized firms. In particular, our empirical results suggest that restricting the technology might result in biased estimates of economies ofscale and scope.

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Paper provided by Ifo Institute for Economic Research at the University of Munich in its series Ifo Working Paper Series with number Ifo Working Paper No. 142.

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Date of creation: 2012
Date of revision:
Handle: RePEc:ces:ifowps:_142
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  1. Kaserman, David L & Mayo, John W, 1991. "The Measurement of Vertical Economies and the Efficient Structure of the Electric Utility Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 39(5), pages 483-502, September.
  2. Anna Bottasso & Maurizio Conti & Massimiliano Piacenza & Davide Vannoni, 2010. "The Appropriateness of the Poolability Assumption for Multiproduct Technologies: Evidence from the English Water and Sewerage Utilities," Carlo Alberto Notebooks 183, Collegio Carlo Alberto.
  3. Weninger, Quinn, 2003. "Estimating Multiproduct Costs when Some Outputs Are Not Produced," Staff General Research Papers 10830, Iowa State University, Department of Economics.
  4. Greer, Monica L., 2008. "A test of vertical economies for non-vertically integrated firms: The case of rural electric cooperatives," Energy Economics, Elsevier, vol. 30(3), pages 679-687, May.
  5. Kwoka, John E., 2002. "Vertical economies in electric power: evidence on integration and its alternatives," International Journal of Industrial Organization, Elsevier, vol. 20(5), pages 653-671, May.
  6. Kuosmanen, Timo, 2012. "Stochastic semi-nonparametric frontier estimation of electricity distribution networks: Application of the StoNED method in the Finnish regulatory model," Energy Economics, Elsevier, vol. 34(6), pages 2189-2199.
  7. George E. Battese, 1997. "A Note On The Estimation Of Cobb-Douglas Production Functions When Some Explanatory Variables Have Zero Values," Journal of Agricultural Economics, Wiley Blackwell, vol. 48(1-3), pages 250-252.
  8. Garcia, Serge & Moreaux, Michel & Reynaud, Arnaud, 2004. "Measuring Economies of Vertical Integration in Network Industries: an Application to the Water Sector," IDEI Working Papers 255, Institut d'Économie Industrielle (IDEI), Toulouse.
  9. Jara-Diaz, Sergio & Ramos-Real, Francisco Javier & Martinez-Budria, Eduardo, 2004. "Economies of integration in the Spanish electricity industry using a multistage cost function," Energy Economics, Elsevier, vol. 26(6), pages 995-1013, November.
  10. Gianandrea Goisis & Maria Giorgetti & Paola Parravicini & Francesco Salsano & Giovanna Tagliabue, 2009. "Economies of scale and scope in the European banking sector," International Review of Economics, Springer, vol. 56(3), pages 227-242, September.
  11. George E. Battese & Sohail J. Malik & Manzoor A. Gill, 1996. "An Investigation Of Technical Inefficiencies Of Production Of Wheat Farmers In Four Districts Of Pakistan," Journal of Agricultural Economics, Wiley Blackwell, vol. 47(1-4), pages 37-49.
  12. Pablo Arocena & David S. Saal & Tim Coelli, 2012. "Vertical and Horizontal Scope Economies in the Regulated U .S . Electric Power Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 60(3), pages 434-467, 09.
  13. E. Martínez-Budría & S. Jara-Díaz & F. Ramos-Real, 2003. "Adapting Productivity Theory to the Quadratic Cost Function. An Application to the Spanish Electric Sector," Journal of Productivity Analysis, Springer, vol. 20(2), pages 213-229, September.
  14. Rezvanian, Rasoul & Mehdian, Seyed, 2002. "An examination of cost structure and production performance of commercial banks in Singapore," Journal of Banking & Finance, Elsevier, vol. 26(1), pages 79-98, January.
  15. Pulley, Lawrence B & Braunstein, Yale M, 1992. "A Composite Cost Function for Multiproduct Firms with an Application to Economies of Scope in Banking," The Review of Economics and Statistics, MIT Press, vol. 74(2), pages 221-30, May.
  16. Christensen, Laurits R & Jorgenson, Dale W & Lau, Lawrence J, 1973. "Transcendental Logarithmic Production Frontiers," The Review of Economics and Statistics, MIT Press, vol. 55(1), pages 28-45, February.
  17. Caves, Douglas W & Christensen, Laurits R & Tretheway, Michael W, 1980. "Flexible Cost Functions for Multiproduct Firms," The Review of Economics and Statistics, MIT Press, vol. 62(3), pages 477-81, August.
  18. 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.
  19. Giovanni Fraquelli & Massimiliano Piacenza & Davide Vannoni, 2005. "Cost Savings From Generation and Distribution with an Application to Italian Electric Utilities," Journal of Regulatory Economics, Springer, vol. 28(3), pages 289-308, November.
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