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Aggregation of Scale Elasticities Across Firms

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  • Fare, Rolf
  • Zelenyuk, Valentin

Abstract

In this paper we propose new aggregate or ‘group’ primal and dual scale elasticity measures of an economic system (e.g., industry consisting of several firms, etc.). The main contribution of the paper is that we show under what assumptions a formal relationship between these new aggregate scale elasticity measures and the individual scale elasticities can be established. The derivations are based on the principles of economic optimization, and in particular on the duality theory of Shephard (1953) and the aggregation theory of Koopmans (1957).

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File URL: http://mpra.ub.uni-muenchen.de/28055/
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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 28055.

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Date of creation: 15 Apr 2004
Date of revision: 11 Jan 2010
Handle: RePEc:pra:mprapa:28055

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Related research

Keywords: Scale Elasticity; Aggregation; Duality;

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References

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  1. Timo Kuosmanen & Laurens Cherchye & Timo Sipiläinen, 2003. "The Law of One Price in Data Envelopment Analysis: Restricting Weight Flexibility Across Firms," Microeconomics, EconWPA 0312006, EconWPA, revised 18 Dec 2003.
  2. Zelenyuk, Valentin, 2005. "Aggregation of Malmquist Productivity Indexes," MPRA Paper 34689, University Library of Munich, Germany.
  3. Valentin Zelenyuk, 2010. "Aggregation of Economic Growth Rates and of its Sources," CEPA Working Papers Series, School of Economics, University of Queensland, Australia WP032010, School of Economics, University of Queensland, Australia.
  4. Fare, Rolf & Zelenyuk, Valentin, 2003. "On aggregate Farrell efficiencies," European Journal of Operational Research, Elsevier, Elsevier, vol. 146(3), pages 615-620, May.
  5. Valentin Zelenyuk, 2012. "Aggregation of Scale Efficiency," CEPA Working Papers Series, School of Economics, University of Queensland, Australia WP042012, School of Economics, University of Queensland, Australia.
  6. Fare, Rolf & Zelenyuk, Valentin, 2007. "Extending Fare and Zelenyuk (2003)," European Journal of Operational Research, Elsevier, Elsevier, vol. 179(2), pages 594-595, June.
  7. Léopold Simar & Valentin Zelenyuk, 2007. "Statistical inference for aggregates of Farrell-type efficiencies," Journal of Applied Econometrics, John Wiley & Sons, Ltd., John Wiley & Sons, Ltd., vol. 22(7), pages 1367-1394.
  8. Vladimir Nesterenko & Valentin Zelenyuk, 2007. "Measuring potential gains from reallocation of resources," Journal of Productivity Analysis, Springer, Springer, vol. 28(1), pages 107-116, October.
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