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Allocative Efficiency of Technically Inefficient Production Units

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  • Bogetoft, Peter
  • Fare, Rolf

Abstract

We discuss how to measure allocative efficiency without presuming technical efficiency. This is relevant when it is easier to introduce reallocations than improvements of technical efficiency. We compare the approach to the traditional one of assuming technical efficiency before measuring allocative efficiency. In particular, we develop necessary and sufficient conditions on the technology to ensure consistent measures and we give dual organizational interpretations of the approaches.

Suggested Citation

  • Bogetoft, Peter & Fare, Rolf, 1999. "Allocative Efficiency of Technically Inefficient Production Units," Unit of Economics Working Papers 24217, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
    • Handle: RePEc:ags:rvaewp:24217
    DOI: 10.22004/ag.econ.24217
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    References listed on IDEAS

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    1. John McDonald, 1996. "Note: A Problem with the Decomposition of Technical Inefficiency into Scale and Congestion Components," Management Science, INFORMS, vol. 42(3), pages 473-474, March.
    2. Peter Bogetoft, 1997. "DEA-based yardstick competition: The optimality of best practice regulation," Annals of Operations Research, Springer, vol. 73(0), pages 277-298, October.
    3. Rolf Färe & Shawna Grosskopf, 2000. "Research Note. Decomposing Technical Efficiency with Care," Management Science, INFORMS, vol. 46(1), pages 167-168, January.
    4. Niels Christian Petersen, 1990. "Data Envelopment Analysis on a Relaxed Set of Assumptions," Management Science, INFORMS, vol. 36(3), pages 305-314, March.
    5. Peter Bogetoft & Joseph M. Tama & Jørgen Tind, 2000. "Convex Input and Output Projections of Nonconvex Production Possibility Sets," Management Science, INFORMS, vol. 46(6), pages 858-869, June.
    6. Bogetoft, Peter, 1995. "Incentives and productivity measurements," International Journal of Production Economics, Elsevier, vol. 39(1-2), pages 67-77, April.
    7. Peter Bogetoft, 1994. "Incentive Efficient Production Frontiers: An Agency Perspective on DEA," Management Science, INFORMS, vol. 40(8), pages 959-968, August.
    8. Peter Bogetoft, 1996. "DEA on Relaxed Convexity Assumptions," Management Science, INFORMS, vol. 42(3), pages 457-465, March.
    9. Peter Bogetoft, 2000. "DEA and Activity Planning under Asymmetric Information," Journal of Productivity Analysis, Springer, vol. 13(1), pages 7-48, January.
    10. Agrell, Per J. & Bogetoft, Peter & Tind, Jorgen, 2002. "Incentive plans for productive efficiency, innovation and learning," International Journal of Production Economics, Elsevier, vol. 78(1), pages 1-11, July.
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    Cited by:

    1. Pierre Pestieau, 2009. "Assessing The Performance Of The Public Sector," Annals of Public and Cooperative Economics, Wiley Blackwell, vol. 80(1), pages 133-161, March.
    2. Juan Aparicio & José L. Zofío, 2017. "Revisiting the decomposition of cost efficiency for non-homothetic technologies: a directional distance function approach," Journal of Productivity Analysis, Springer, vol. 48(2), pages 133-146, December.
    3. Andrea Mantovi, 2013. "On the commutativity of expansion and substitution effects," Journal of Economics, Springer, vol. 110(1), pages 83-105, September.
    4. Ayouba, Kassoum & Boussemart, Jean-Philippe & Lefer, Henri-Bertrand & Leleu, Hervé & Parvulescu, Raluca, 2019. "A measure of price advantage and its decomposition into output- and input-specific effects," European Journal of Operational Research, Elsevier, vol. 276(2), pages 688-698.
    5. Tsionas, Mike G., 2016. "Parameters measuring bank risk and their estimation," European Journal of Operational Research, Elsevier, vol. 250(1), pages 291-304.
    6. Bruno De Borger & Kristiaan Kerstens & Diego Prior & Ignace Van de Woestyne, 2013. "Static efficiency decompositions and capacity utilization: integrating economic and technical capacity notions," Applied Economics, Taylor & Francis Journals, vol. 45(24), pages 3529-3529, August.
    7. Spiro, Stefanou & Choi, Onelack & Stokes, Jeffrey, 2002. "The Dynamics of Efficiency Improving Input Allocation and Reorganization Costs," Efficiency Series Papers 2002/07, University of Oviedo, Department of Economics, Oviedo Efficiency Group (OEG).
    8. A. Mantovi, 2013. "On the geometry of luxury," Economics Department Working Papers 2013-EP02, Department of Economics, Parma University (Italy).
    9. Aparicio, Juan & Pastor, Jesus T. & Zofio, Jose L., 2015. "How to properly decompose economic efficiency using technical and allocative criteria with non-homothetic DEA technologies," European Journal of Operational Research, Elsevier, vol. 240(3), pages 882-891.
    10. Piran, Fabio Sartori & Lacerda, Daniel Pacheco & Camanho, Ana S. & Silva, Maria C.A., 2021. "Internal benchmarking to assess the cost efficiency of a broiler production system combining data envelopment analysis and throughput accounting," International Journal of Production Economics, Elsevier, vol. 238(C).
    11. Andrea Mantovi, 2016. "Smooth preferences, symmetries and expansion vector fields," Journal of Economics, Springer, vol. 119(2), pages 147-169, October.
    12. Peter Bogetoft & Dexiang Wang, 2005. "Estimating the Potential Gains from Mergers," Journal of Productivity Analysis, Springer, vol. 23(2), pages 145-171, May.
    13. Jose Zofio & Jesus Pastor & Juan Aparicio, 2013. "The directional profit efficiency measure: on why profit inefficiency is either technical or allocative," Journal of Productivity Analysis, Springer, vol. 40(3), pages 257-266, December.
    14. Rolf Färe & Giannis Karagiannis, 2022. "Aggregation and decomposition of Farrell efficiencies," Operational Research, Springer, vol. 22(5), pages 5675-5683, November.
    15. Aparicio, Juan & Borras, Fernando & Pastor, Jesus T. & Vidal, Fernando, 2013. "Accounting for slacks to measure and decompose revenue efficiency in the Spanish Designation of Origin wines with DEA," European Journal of Operational Research, Elsevier, vol. 231(2), pages 443-451.
    16. Bogetoft, Peter & Wang, Dexiang, 1999. "Estimating the Potential Gains from Mergers: The Danish Agricultural Extension Services," Unit of Economics Working Papers 24207, Royal Veterinary and Agricultural University, Food and Resource Economic Institute.
    17. Aparicio, Juan & Mahlberg, Bernhard & Pastor, Jesus T. & Sahoo, Biresh K., 2014. "Decomposing technical inefficiency using the principle of least action," European Journal of Operational Research, Elsevier, vol. 239(3), pages 776-785.
    18. J L Ruiz & I Sirvent, 2011. "A DEA approach to derive individual lower and upper bounds for the technical and allocative components of the overall profit efficiency," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(11), pages 1907-1916, November.
    19. Fandel, Günter & Lorth, Michael, 2009. "On the technical (in)efficiency of a profit maximum," International Journal of Production Economics, Elsevier, vol. 121(2), pages 409-426, October.
    20. Fangqing Wei & Yanan Fu & Feng Yang & Chun Sun & Sheng Ang, 2023. "Closest target setting with minimum improvement costs considering demand and resource mismatches," Operational Research, Springer, vol. 23(3), pages 1-29, September.
    21. A. Mantovi, 2013. "Differential duality," Economics Department Working Papers 2013-EP05, Department of Economics, Parma University (Italy).

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