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Inner and outer approximations of technology: a shadow profit approach

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  • H. Leleu

    (LEM - Lille - Economie et Management - Université de Lille, Sciences et Technologies - CNRS - Centre National de la Recherche Scientifique)

Abstract

In this paper we extend the taxonomy on inner and outer approximations to a technology by assuming that price data are not available. Mimicking Varian [Varian H., Econometrica 1984;52(3):579], we introduce a Weak Axiom of Shadow Profit Maximization (WASPM) to test if observed production plans are compatible with technically efficient behavior. If the test fails for an observed sample, we then characterize the maximal subset of observed production plans that meets WASPM and we derive lower and upper bounds on technical efficiency for production plans that are observed but not in this subset. We also derive linear programs to implement these bounds

Suggested Citation

  • H. Leleu, 2013. "Inner and outer approximations of technology: a shadow profit approach," Post-Print hal-00798547, HAL.
    • Handle: RePEc:hal:journl:hal-00798547
    DOI: 10.1016/j.omega.2012.11.001
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    Cited by:

    1. Portela, Maria Conceição A. Silva & Thanassoulis, Emmanuel, 2014. "Economic efficiency when prices are not fixed: disentangling quantity and price efficiency," Omega, Elsevier, vol. 47(C), pages 36-44.
    2. Briec, Walter & Fukuyama, Hirofumi & Ravelojaona, Paola, 2021. "Exponential distance function and duality theory," European Journal of Operational Research, Elsevier, vol. 293(3), pages 1002-1014.
    3. Walheer, Barnabé & Zhang, Linjia, 2018. "Profit Luenberger and Malmquist-Luenberger indexes for multi-activity decision making units: the case of the star-rated hotel industry in China," RIEI Working Papers 2018-06, Xi'an Jiaotong-Liverpool University, Research Institute for Economic Integration.
    4. Ray, Subhash C, 2019. "The transformation function, technical efficiency, and the CCR ratio," European Journal of Operational Research, Elsevier, vol. 278(2), pages 422-429.
    5. Fu, Tsu-Tan & Juo, Jia-Ching & Chiang, Han-Chin & Yu, Ming-Miin & Huang, Mei-ying, 2016. "Risk-based decompositions of the meta profit efficiency of Taiwanese and Chinese banks," Omega, Elsevier, vol. 62(C), pages 34-46.
    6. Cherchye, Laurens & De Rock, Bram & Walheer, Barnabé, 2016. "Multi-output profit efficiency and directional distance functions," Omega, Elsevier, vol. 61(C), pages 100-109.

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