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A Dual Measure of Economies of Scope

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Author Info
Gholamreza Hajargasht
Tim Coelli
D. S. Prasada Rao (CEPA - School of Economics, The University of Queensland)

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Abstract

Information on the economies of scope (or cost complementarities) between two or more output variables is traditionally obtained from the second derivative properties of an econometrically estimated multi-output cost function. However, in some instances the econometric estimation of a cost function may not be viable, because cost or input price data are not readily available or because the assumption of cost minimising behaviour is not appropriate in the industry at hand, perhaps due to government ownership or regulatory controls. In this paper we address this issue by utilising the duality between the cost and input distance functions in deriving an expression for a measure of economies of scope in terms of the derivatives of an input distance function. We derive expressions for the special cases of the CES and translog functional forms, and then provide an empirical illustration using sample data on Australian aged care facilities, an industry which is currently undergoing a major pricing and regulatory review. Our empirical results indicate that there is some evidence for existence of economies of scope between high care and low care patients, a result which is of particular interest to policy makers in this industry.

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Paper provided by School of Economics, University of Queensland, Australia in its series CEPA Working Papers Series with number WP032006.

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Date of creation: 2006
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Handle: RePEc:qld:uqcepa:22

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  1. Harry Bloch & Gary Madden & Scott Savage, 2001. "Economies of Scale and Scope in Australian Telecommunications," Review of Industrial Organization, Springer, vol. 18(2), pages 219-227, March. [Downloadable!] (restricted)
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  2. Coelli, Tim & Fleming, Euan, 2004. "Diversification economies and specialisation efficiencies in a mixed food and coffee smallholder farming system in Papua New Guinea," Agricultural Economics, Blackwell, vol. 31(2-3), pages 229-239, December. [Downloadable!] (restricted)
  3. 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. [Downloadable!] (restricted)
  4. Songqing Jin & Scott Rozelle & Julian Alston & Jikun Huang, 2005. "Economies Of Scale And Scope And The Economic Efficiency Of China'S Agricultural Research System," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(3), pages 1033-1057, 08. [Downloadable!] (restricted)
  5. O'Donnell, Christopher J. & Coelli, Timothy J., 2005. "A Bayesian approach to imposing curvature on distance functions," Journal of Econometrics, Elsevier, vol. 126(2), pages 493-523, June. [Downloadable!] (restricted)
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  6. David N. Laband & Bernard F. Lentz, 2003. "New Estimates of Economies of Scale and Scope in Higher Education," Southern Economic Journal, Southern Economic Association, vol. 70(1), pages 172–183, July.
  7. Catherine J. Morrison Paul & Warren E. Johnston & Gerald A. G. Frengley, 2000. "Efficiency in New Zealand Sheep and Beef Farming: The Impacts of Regulatory Reform," The Review of Economics and Statistics, MIT Press, vol. 82(2), pages 325-337, May. [Downloadable!] (restricted)
  8. Panzar, John C & Willig, Robert D, 1981. "Economies of Scope," American Economic Review, American Economic Association, vol. 71(2), pages 268-72, May. [Downloadable!] (restricted)
  9. Atkinson, Scott E. & Primont, Daniel, 2002. "Stochastic estimation of firm technology, inefficiency, and productivity growth using shadow cost and distance functions," Journal of Econometrics, Elsevier, vol. 108(2), pages 203-225, June. [Downloadable!] (restricted)
  10. Takanori Ida & Tetsuya Kuwahara, 2004. "Yardstick Cost Comparison and Economies of Scale and Scope in Japan's Electric Power Industry," Asian Economic Journal, East Asian Economic Association, vol. 18(4), pages 423-438, December. [Downloadable!] (restricted)
  11. Ivaldi, M & McCullough, G J, 2001. "Density and Integration Effects on Class I U.S. Freight Railroads," Journal of Regulatory Economics, Springer, vol. 19(2), pages 161-82, March. [Downloadable!] (restricted)
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  12. Blackorby, Charles & Russell, R Robert, 1981. "The Morishima Elasticity of Substitution; Symmetry, Constancy, Separability, and Its Relationship to the Hicks and Allen Elasticities," Review of Economic Studies, Blackwell Publishing, vol. 48(1), pages 147-58, January. [Downloadable!] (restricted)
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