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A note on the zero-sum gains data envelopment analysis model

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  • Thanasis Bouzidis

    (University of Macedonia)

  • Giannis Karagiannis

    (University of Macedonia)

Abstract

In the case of the proportional output reduction strategy with a single output, the Variable-Returns-to-Scale (VRS) Zero-Sum Gains Data Envelopment Analysis (ZSG-DEA) efficiency scores can be obtained from the VRS conventional DEA efficiency scores by means of the Target’s Assessment Theorem (TAT). Using TAT as a departure point, two relations for computing the ZSG-DEA efficiency scores appear in the literature. Our objective in this note is to compare, contrast and challenge them on both theoretical and empirical grounds. For the latter, three different data sets are used.

Suggested Citation

  • Thanasis Bouzidis & Giannis Karagiannis, 2022. "A note on the zero-sum gains data envelopment analysis model," Operational Research, Springer, vol. 22(3), pages 1737-1758, July.
    • Handle: RePEc:spr:operea:v:22:y:2022:i:3:d:10.1007_s12351-021-00631-8
    DOI: 10.1007/s12351-021-00631-8
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    1. Per Andersen & Niels Christian Petersen, 1993. "A Procedure for Ranking Efficient Units in Data Envelopment Analysis," Management Science, INFORMS, vol. 39(10), pages 1261-1264, October.
    2. E G Gomes & M P E Lins, 2008. "Modelling undesirable outputs with zero sum gains data envelopment analysis models," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 616-623, May.
    3. Gongbing Bi & Chenpeng Feng & Jingjing Ding & Liang Liang & Feng Chu, 2014. "The linear formulation of the ZSG-DEA models with different production technologies," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 65(8), pages 1202-1211, August.
    4. Lins, Marcos P. Estellita & Gomes, Eliane G. & Soares de Mello, Joao Carlos C. B. & Soares de Mello, Adelino Jose R., 2003. "Olympic ranking based on a zero sum gains DEA model," European Journal of Operational Research, Elsevier, vol. 148(2), pages 312-322, July.
    5. Yang, Feng & Wu, Desheng Dash & Liang, Liang & O'Neill, Liam, 2011. "Competition strategy and efficiency evaluation for decision making units with fixed-sum outputs," European Journal of Operational Research, Elsevier, vol. 212(3), pages 560-569, August.
    6. Trevor Collier & Andrew L. Johnson & John Ruggiero, 2011. "Measuring Technical Efficiency in Sports," Journal of Sports Economics, , vol. 12(6), pages 579-598, December.
    7. J-L Hu & C-Y Fang, 2010. "Do market share and efficiency matter for each other? An application of the zero-sum gains data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(4), pages 647-657, April.
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    Cited by:

    1. Thanasis Bouzidis & Giannis Karagiannis, 2022. "Extending the zero-sum gains data envelopment analysis model," Journal of Productivity Analysis, Springer, vol. 58(2), pages 171-184, December.
    2. Bai, Muren & Li, Cunbin, 2024. "Research on the allocation scheme of carbon emission allowances for China's provincial power grids," Energy, Elsevier, vol. 299(C).
    3. Bouzidis, Thanasis & Karagiannis, Giannis, 2022. "An alternative ranking of DMUs performance for the ZSG-DEA model," Socio-Economic Planning Sciences, Elsevier, vol. 81(C).
    4. Shangjia Wang & Wenhui Zhao & Shuwen Fan & Lei Xue & Zijuan Huang & Zhigang Liu, 2022. "Is the Renewable Portfolio Standard in China Effective? Research on RPS Allocation Efficiency in Chinese Provinces Based on the Zero-Sum DEA Model," Energies, MDPI, vol. 15(11), pages 1-18, May.

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    More about this item

    Keywords

    Output Interdependency; ZSG-DEA Efficiency; Conventional DEA Efficiency;
    All these keywords.

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights

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