IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2013y2013i1n879325.html

Game Perspectives of DEA Models and Their Duals

Author

Listed:
  • Fang Xu
  • DaQun Zhang
  • GuoLiang Yang
  • WenBin Liu

Abstract

We present a series of two‐person games, which lead to various DEA models. The relationship between the DEA models and the games is explicit in our setting, although the Nash equilibrium solutions do not generally exist. Besides the classic DEA models, we also establish an explicit relationship between the games and some extended DEA models, such as free disposable hull DEA models and “negative” or “inverted” DEA models.

Suggested Citation

  • Fang Xu & DaQun Zhang & GuoLiang Yang & WenBin Liu, 2013. "Game Perspectives of DEA Models and Their Duals," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
  • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:879325
    DOI: 10.1155/2013/879325
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/879325
    Download Restriction: no

    File URL: https://libkey.io/10.1155/2013/879325?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Lovell, C. A. Knox & Pastor, Jesus T., 1999. "Radial DEA models without inputs or without outputs," European Journal of Operational Research, Elsevier, vol. 118(1), pages 46-51, October.
    2. Charnes, A. & Cooper, W. W. & Huang, Z. M. & Sun, D. B., 1990. "Polyhedral Cone-Ratio DEA Models with an illustrative application to large commercial banks," Journal of Econometrics, Elsevier, vol. 46(1-2), pages 73-91.
    3. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    4. Banker, Rajiv D., 1980. "A game theoretic approach to measuring efficiency," European Journal of Operational Research, Elsevier, vol. 5(4), pages 262-266, October.
    5. Semple, John, 1997. "Constrained games for evaluating organizational performance," European Journal of Operational Research, Elsevier, vol. 96(1), pages 103-112, January.
    6. Banker, R. D. & Charnes, A. & Cooper, W. W. & Clarke, R., 1989. "Constrained game formulations and interpretations for data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 40(3), pages 299-308, June.
    7. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    8. Takamura, Yoshiharu & Tone, Kaoru, 2003. "A comparative site evaluation study for relocating Japanese government agencies out of Tokyo," Socio-Economic Planning Sciences, Elsevier, vol. 37(2), pages 85-102, June.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hao, Gang & Wei, Quanling & Yan, Hong, 2000. "The generalized DEA model and the convex cone constrained game," European Journal of Operational Research, Elsevier, vol. 126(3), pages 515-525, November.
    2. Lívia Mariana Lopes de Souza Torres & Francisco de Sousa Ramos, 2026. "Data envelopment analysis and game theory: Where are we? Where are we going?," Annals of Operations Research, Springer, vol. 358(2), pages 929-983, March.
    3. Glover, Fred & Sueyoshi, Toshiyuki, 2009. "Contributions of Professor William W. Cooper in Operations Research and Management Science," European Journal of Operational Research, Elsevier, vol. 197(1), pages 1-16, August.
    4. Kairui Zuo & Jiancheng Guan, 2017. "Measuring the R&D efficiency of regions by a parallel DEA game model," Scientometrics, Springer;Akadémiai Kiadó, vol. 112(1), pages 175-194, July.
    5. Mergoni, Anna & Emrouznejad, Ali & De Witte, Kristof, 2025. "Fifty years of Data Envelopment Analysis," European Journal of Operational Research, Elsevier, vol. 326(3), pages 389-412.
    6. Peter Bogetoft & Kurt Nielsen, 2002. "DEA Based Yardstick Competition in Natural Resource Management," CIE Discussion Papers 2002-04, University of Copenhagen. Department of Economics. Centre for Industrial Economics.
    7. Semple, John, 1997. "Constrained games for evaluating organizational performance," European Journal of Operational Research, Elsevier, vol. 96(1), pages 103-112, January.
    8. Jamal Ouenniche & Skarleth Carrales, 2018. "Assessing efficiency profiles of UK commercial banks: a DEA analysis with regression-based feedback," Annals of Operations Research, Springer, vol. 266(1), pages 551-587, July.
    9. Ruiz, José L. & Segura, José V. & Sirvent, Inmaculada, 2015. "Benchmarking and target setting with expert preferences: An application to the evaluation of educational performance of Spanish universities," European Journal of Operational Research, Elsevier, vol. 242(2), pages 594-605.
    10. Panagiotis Ravanos & Giannis Karagiannis, 2025. "On value efficiency analysis and cone-ratio data envelopment analysis models," Journal of Productivity Analysis, Springer, vol. 63(1), pages 49-68, February.
    11. Peter Bogetoft, 2000. "DEA and Activity Planning under Asymmetric Information," Journal of Productivity Analysis, Springer, vol. 13(1), pages 7-48, January.
    12. Afsharian, Mohsen & Bogetoft, Peter, 2023. "Limiting flexibility in nonparametric efficiency evaluations: An ex post k-centroid clustering approach," European Journal of Operational Research, Elsevier, vol. 311(2), pages 633-647.
    13. Bogetoft, Peter & Nielsen, Kurt, 2008. "DEA based auctions," European Journal of Operational Research, Elsevier, vol. 184(2), pages 685-700, January.
    14. Bogetoft, Peter & Nielsen, Kurt, 2003. "Yardstick Based Procurement Design In Natural Resource Management," 2003 Annual Meeting, August 16-22, 2003, Durban, South Africa 25910, International Association of Agricultural Economists.
    15. Adler, Nicole & Friedman, Lea & Sinuany-Stern, Zilla, 2002. "Review of ranking methods in the data envelopment analysis context," European Journal of Operational Research, Elsevier, vol. 140(2), pages 249-265, July.
    16. Sufian, Fadzlan & Abdul Majid, Muhamed Zulkhibri, 2007. "Consolidation and efficiency: Evidence from non-bank financial institutions in Malaysia," MPRA Paper 12128, University Library of Munich, Germany, revised 01 May 2007.
    17. Kaoru Tone, 2001. "On Returns to Scale under Weight Restrictions in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 16(1), pages 31-47, July.
    18. Fakarudin Kamarudin & Bany Ariffin Amin Nordin & Junaina Muhammad & Mohamad Ali Abdul Hamid, 2014. "Cost, Revenue and Profit Efficiency of Islamic and Conventional Banking Sector: Empirical Evidence from Gulf Cooperative Council Countries," Global Business Review, International Management Institute, vol. 15(1), pages 1-24, March.
    19. 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.
    20. Ertürk, Mehmet & Türüt-AsIk, Serap, 2011. "Efficiency analysis of Turkish natural gas distribution companies by using data envelopment analysis method," Energy Policy, Elsevier, vol. 39(3), pages 1426-1438, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:879325. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4185 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.