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A Note on Equivalences in Measuring Returns to Scale in Multi-output-multi-input Technologies

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In this article we show equivalence between the input oriented and output oriented scale elasticity measures for multi-output, multi-input technologies. We show the necessary and sufficient condition for this equivalence. We also provide a Lagrange multiplier (or shadow price) interpretation of the scale elasticity measure.

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File URL: http://www.uq.edu.au/economics/cepa/docs/WP/WP052011.pdf
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Paper provided by School of Economics, University of Queensland, Australia in its series CEPA Working Papers Series with number WP052011.

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Date of creation: 2011
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Handle: RePEc:qld:uqcepa:65

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  1. 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.
  2. Atkinson, Scott E & Cornwell, Christopher & Honerkamp, Olaf, 2003. "Measuring and Decomposing Productivity Change: Stochastic Distance Function Estimation versus Data Envelopment Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 284-94, April.
  3. 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.
  4. Färe, Rolf & Grosskopf, Shawna & Hayes, Kathy J. & Margaritis, Dimitris, 2008. "Estimating demand with distance functions: Parameterization in the primal and dual," Journal of Econometrics, Elsevier, vol. 147(2), pages 266-274, December.
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Cited by:
  1. Zelenyuk, Valentin, 2013. "A scale elasticity measure for directional distance function and its dual: Theory and DEA estimation," European Journal of Operational Research, Elsevier, vol. 228(3), pages 592-600.
  2. Valentin Zelenyuk, 2011. "A Scale Elasticity Measure for Directional Distance Function and its Dual," CEPA Working Papers Series WP062011, School of Economics, University of Queensland, Australia.
  3. Valentin Zelenyuk, 2013. "Scale Efficiency and Homotheticity: Equivalence of Primal and Dual Measures," CEPA Working Papers Series WP022013, School of Economics, University of Queensland, Australia.
  4. Valentin Zelenyuk, 2012. "Aggregation of Scale Efficiency," CEPA Working Papers Series WP042012, School of Economics, University of Queensland, Australia.
  5. Valentin Zelenyuk, 2011. "Scale Efficiency: Equivalence of Primal and Dual Measures," CEPA Working Papers Series WP092011, School of Economics, University of Queensland, Australia.

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