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Duality of weakly disposable technology

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  • Kuosmanen, Timo
  • Kazemi Matin, Reza

Abstract

The axiom of weak disposability is frequently imposed in data envelopment analysis (DEA) models involving undesirable outputs such as pollution. This paper sheds new light on the economic interpretation of weak disposability by developing dual formulations of the weakly disposable DEA technology. We find that the economic implications of weak disposability on the multiplier DEA problem are two-fold: (1) the shadow prices of the undesirable outputs can be positive or negative, and (2) the economic loss of the benchmark cannot exceed the suck cost of the inputs. We interpret the second implications as a limited liability condition. The dual formulations developed in this paper enable one to estimate shadow prices of the undesirable outputs using the weakly disposable technology. The insights gained are illustrated by a numerical example and an empirical application to the US power plants.

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Bibliographic Info

Article provided by Elsevier in its journal Omega.

Volume (Year): 39 (2011)
Issue (Month): 5 (October)
Pages: 504-512

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Handle: RePEc:eee:jomega:v:39:y:2011:i:5:p:504-512

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Keywords: DEA Efficiency Environmental studies Resource management;

References

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Citations

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Cited by:
  1. Andrés J. Picazo-Tadeo & Mercedes Beltrán-Esteve & José A. Gómez-Limón, 2011. "Assessing eco-efficiency with directional distance functions," Working Papers 1110, Department of Applied Economics II, Universidad de Valencia.
  2. David Berre & Jean-Philippe Boussemart & Emmanuel Tillard, 2012. "Economic Value of Greenhouse Gases and Nitrogen Surpluses: Society vs Farmers’ Valuation," Working Papers 2012-ECO-02, IESEG School of Management.
  3. Zhou, P. & Ang, B.W. & Wang, H., 2012. "Energy and CO2 emission performance in electricity generation: A non-radial directional distance function approach," European Journal of Operational Research, Elsevier, vol. 221(3), pages 625-635.
  4. George Halkos & George Papageorgiou, 2014. "Spatial environmental efficiency indicators in regional waste generation: A nonparametric approach," DEOS Working Papers 1401, Athens University of Economics and Business.
  5. Rødseth, Kenneth Løvold, 2013. "Capturing the least costly way of reducing pollution: A shadow price approach," Ecological Economics, Elsevier, vol. 92(C), pages 16-24.
  6. Leleu, Hervé, 2013. "Shadow pricing of undesirable outputs in nonparametric analysis," European Journal of Operational Research, Elsevier, vol. 231(2), pages 474-480.
  7. George Halkos & Nickolaos Tzeremes, 2012. "Measuring German regions’ environmental efficiency: a directional distance function approach," Letters in Spatial and Resource Sciences, Springer, vol. 5(1), pages 7-16, March.
  8. Halkos, George & Tzeremes, Nickolaos, 2013. "An additive two-stage DEA approach creating sustainability efficiency indexes," MPRA Paper 44231, University Library of Munich, Germany.
  9. Halkos, George E. & Tzeremes, Nickolaos G., 2013. "Economic growth and environmental efficiency: Evidence from US regions," Economics Letters, Elsevier, vol. 120(1), pages 48-52.
  10. Bretholt, Abraham & Pan, Jeh-Nan, 2013. "Evolving the latent variable model as an environmental DEA technology," Omega, Elsevier, vol. 41(2), pages 315-325.

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