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Egoist's dilemma: a DEA game

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  • Nakabayashi, Ken
  • Tone, Kaoru

Abstract

This paper deals with problems of consensus-making among individuals or organizations with multiple criteria for evaluating their performance when the players are supposed to be egoistic; in the sense that each player sticks to his superiority regarding the criteria. We analyze this situation within the framework or concept developed in data envelopment analysis (DEA). This leads to a dilemma called the `egoist's dilemma'. We examine this dilemma using cooperative game theory and propose a solution. The scheme developed in this paper can also be applied to attaining fair cost allocations as well as benefit-cost distributions.

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  • Nakabayashi, Ken & Tone, Kaoru, 2006. "Egoist's dilemma: a DEA game," Omega, Elsevier, vol. 34(2), pages 135-148, April.
    • Handle: RePEc:eee:jomega:v:34:y:2006:i:2:p:135-148
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    2. Hashem Omrani & Khatereh Shafaat & Arash Alizadeh, 2019. "Integrated data envelopment analysis and cooperative game for evaluating energy efficiency of transportation sector: a case of Iran," Annals of Operations Research, Springer, vol. 274(1), pages 471-499, March.
    3. Yongjun Li & Feng Li & Ali Emrouznejad & Liang Liang & Qiwei Xie, 2019. "Allocating the fixed cost: an approach based on data envelopment analysis and cooperative game," Annals of Operations Research, Springer, vol. 274(1), pages 373-394, March.
    4. Shanwei Li & Jingjie Li & Junli Ding & Mochen Sun & Chenying Cui, 2023. "A Game Strategy Study on Innovation Efficiency of China’s Listed Charging Pile Companies: Based on Generalized Fuzzy DEA Method," Sustainability, MDPI, vol. 15(3), pages 1-23, January.
    5. Xi Jin & Bin Zou & Chan Wang & Kaifeng Rao & Xiaowen Tang, 2019. "Carbon Emission Allocation in a Chinese Province-Level Region Based on Two-Stage Network Structures," Sustainability, MDPI, vol. 11(5), pages 1-24, March.
    6. Y-W Chen & M Larbani & Y-P Chang, 2009. "Multiobjective data envelopment analysis," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1556-1566, November.
    7. Sickles, Robin C. & Song, Wonho & Zelenyuk, Valentin, 2018. "Econometric Analysis of Productivity: Theory and Implementation in R," Working Papers 18-008, Rice University, Department of Economics.
    8. Lim, Dong-Joon & Anderson, Timothy R. & Shott, Tom, 2015. "Technological forecasting of supercomputer development: The March to Exascale computing," Omega, Elsevier, vol. 51(C), pages 128-135.
    9. I. Contreras & S. Lozano & M. A. Hinojosa, 2021. "A bargaining approach to determine common weights in DEA," Operational Research, Springer, vol. 21(3), pages 2181-2201, September.
    10. Pendharkar, Parag C., 2021. "Allocating fixed costs using multi-coalition epsilon equilibrium," International Journal of Production Economics, Elsevier, vol. 239(C).
    11. Hashem Omrani & Mohaddeseh Amini & Mahdieh Babaei & Khatereh Shafaat, 2020. "Use Shapley value for increasing power distinguish of data envelopment analysis model: An application for estimating environmental efficiency of industrial producers in Iran," Energy & Environment, , vol. 31(4), pages 656-675, June.
    12. Valentin Zelenyuk, 2018. "Some Mathematical and Historical Clarifications on Aggregation in Efficiency and Productivity Analysis and Connection to Economic Theory," CEPA Working Papers Series WP032018, School of Economics, University of Queensland, Australia.
    13. Natalya Zelenyuk & Valentin Zelenyuk, 2021. "Bank Performance Analysis," CEPA Working Papers Series WP022021, School of Economics, University of Queensland, Australia.
    14. Lozano, S., 2012. "Information sharing in DEA: A cooperative game theory approach," European Journal of Operational Research, Elsevier, vol. 222(3), pages 558-565.
    15. Li, Yongjun & Xie, Jianhui & Wang, Meiqiang & Liang, Liang, 2016. "Super efficiency evaluation using a common platform on a cooperative game," European Journal of Operational Research, Elsevier, vol. 255(3), pages 884-892.
    16. Jie Wu & Qingyuan Zhu & Wade D Cook & Joe Zhu, 2016. "Best cooperative partner selection and input resource reallocation using DEA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 67(9), pages 1221-1237, September.
    17. Omrani, Hashem & Fahimi, Pegah & Mahmoodi, Abdollah, 2020. "A data envelopment analysis game theory approach for constructing composite indicator: An application to find out development degree of cities in West Azarbaijan province of Iran," Socio-Economic Planning Sciences, Elsevier, vol. 69(C).

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