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DEA production games and Owen allocations

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  • Borrero, D.V.
  • Hinojosa, M.A.
  • Mármol, A.M.

Abstract

DEA production games have recently been introduced in a paper by Lozano (2013). In the present paper we further investigate these cooperative games. We establish the links between the class of DEA production games and the classes of linear programming games and linear production games. We also analyse the Owen set of DEA production games and discuss the interpretation of these allocations for different levels of cooperation between agents.

Suggested Citation

  • Borrero, D.V. & Hinojosa, M.A. & Mármol, A.M., 2016. "DEA production games and Owen allocations," European Journal of Operational Research, Elsevier, vol. 252(3), pages 921-930.
    • Handle: RePEc:eee:ejores:v:252:y:2016:i:3:p:921-930
    DOI: 10.1016/j.ejor.2016.01.053
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    1. J. Timmer & P. Borm & J. Suijs, 2000. "Linear Transformation of Products: Games and Economies," Journal of Optimization Theory and Applications, Springer, vol. 105(3), pages 677-706, June.
    2. Ehud Kalai & Eitan Zemel, 1982. "Totally Balanced Games and Games of Flow," Mathematics of Operations Research, INFORMS, vol. 7(3), pages 476-478, August.
    3. Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á., 2009. "Stable allocations of risk," Games and Economic Behavior, Elsevier, vol. 67(1), pages 266-276, September.
    4. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    5. Feltkamp, V., 1993. "Linear Production with Transport of Products, Resources and Technology," Other publications TiSEM 1be68aec-c0ef-492b-a3f5-3, Tilburg University, School of Economics and Management.
    6. Lawrence Seiford & Joe Zhu, 1999. "Sensitivity and Stability of the Classifications of Returns to Scale in Data Envelopment Analysis," Journal of Productivity Analysis, Springer, vol. 12(1), pages 55-75, August.
    7. Feltkamp, V. & Koster, A. & Van Den Nouweland, A. & Borm, P. & Tijs, S., 1993. "Linear Production with Transport of Products, Resources and Technology," Papers 9332, Tilburg - Center for Economic Research.
    8. Francisco Fernández & MarÍa Fiestras-Janeiro & Ignacio GarcÍa-Jurado & Justo Puerto, 2005. "Competition and Cooperation in Non-Centralized Linear Production Games," Annals of Operations Research, Springer, vol. 137(1), pages 91-100, July.
    9. Lozano, S., 2013. "DEA production games," European Journal of Operational Research, Elsevier, vol. 231(2), pages 405-413.
    10. SCHMEIDLER, David, 1969. "The nucleolus of a characteristic function game," LIDAM Reprints CORE 44, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Ehud Kalai & Eitan Zemel, 1982. "Generalized Network Problems Yielding Totally Balanced Games," Operations Research, INFORMS, vol. 30(5), pages 998-1008, October.
    12. 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.
    13. van Gellekom, J. R. G. & Potters, J. A. M. & Reijnierse, J. H. & Engel, M. C. & Tijs, S. H., 2000. "Characterization of the Owen Set of Linear Production Processes," Games and Economic Behavior, Elsevier, vol. 32(1), pages 139-156, July.
    14. Seiford, Lawrence M. & Zhu, Joe, 1999. "An investigation of returns to scale in data envelopment analysis," Omega, Elsevier, vol. 27(1), pages 1-11, February.
    15. Tijs, S.H. & van Gellekom, J.R.G. & Potters, J.A.M. & Reijnierse, J.H. & Engel, M.C., 2000. "Characterization of the Owen set of linear production processes," Other publications TiSEM bdf0c618-e9f1-496a-b977-0, Tilburg University, School of Economics and Management.
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    2. 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.

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