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Cooperative game solution concepts to a cost allocation problem

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  • Krus, Lech
  • Bronisz, Piotr

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  • Krus, Lech & Bronisz, Piotr, 2000. "Cooperative game solution concepts to a cost allocation problem," European Journal of Operational Research, Elsevier, vol. 122(2), pages 258-271, April.
    • Handle: RePEc:eee:ejores:v:122:y:2000:i:2:p:258-271
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    References listed on IDEAS

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    1. Gately, Dermot, 1974. "Sharing the Gains from Regional Cooperation: A Game Theoretic Application to Planning Investment in Electric Power," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 15(1), pages 195-208, February.
    2. Louis J. Billera & David C. Heath, 1982. "Allocation of Shared Costs: A Set of Axioms Yielding A Unique Procedure," Mathematics of Operations Research, INFORMS, vol. 7(1), pages 32-39, February.
    3. 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).
    4. M. Maschler & B. Peleg & L. S. Shapley, 1979. "Geometric Properties of the Kernel, Nucleolus, and Related Solution Concepts," Mathematics of Operations Research, INFORMS, vol. 4(4), pages 303-338, November.
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    Cited by:

    1. Albizuri, M.J. & Díez, H. & Sarachu, A., 2014. "Monotonicity and the Aumann–Shapley cost-sharing method in the discrete case," European Journal of Operational Research, Elsevier, vol. 238(2), pages 560-565.
    2. 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.
    3. Guajardo, Mario & Jörnsten, Kurt, 2015. "Common mistakes in computing the nucleolus," European Journal of Operational Research, Elsevier, vol. 241(3), pages 931-935.
    4. Mariusz Kaleta & Eugeniusz Toczyłowski, 2009. "A cost allocation framework for LP and GLP games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(4), pages 27-46.
    5. bhakar, Rohit & sriram, V.s. & padhy, Narayana prasad & gupta, Hari om, 2010. "Probabilistic game approaches for network cost allocation," MPRA Paper 29003, University Library of Munich, Germany.
    6. Cano-Berlanga, Sebastián & Giménez-Gómez, José-Manuel & Vilella, Cori, 2017. "Enjoying cooperative games: The R package GameTheory," Applied Mathematics and Computation, Elsevier, vol. 305(C), pages 381-393.
    7. Li, Sutong & Kang, Leilei & Huang, Hao & Liu, Lan, 2023. "A perimeter control model of urban road network based on cooperative-noncooperative two-stage game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    8. Lech Kruś, 2009. "Cost allocation in partition function form games," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 19(2), pages 39-49.
    9. M A Krajewska & H Kopfer & G Laporte & S Ropke & G Zaccour, 2008. "Horizontal cooperation among freight carriers: request allocation and profit sharing," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(11), pages 1483-1491, November.
    10. Mariusz Kaleta & Eugeniusz Toczylowski, 2009. "A cost allocation framework for lp and glp games," Operations Research and Decisions, Wroclaw University of Technology, Institute of Organization and Management, vol. 4, pages 27-46.
    11. Jin, Xuefeng & Park, Kang Tae & Kim, Kap Hwan, 2019. "Storage space sharing among container handling companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 111-131.

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