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The nucleolus of balanced simple flow networks

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  • Potters, Jos
  • Reijnierse, Hans
  • Biswas, Amit

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  • Potters, Jos & Reijnierse, Hans & Biswas, Amit, 2006. "The nucleolus of balanced simple flow networks," Games and Economic Behavior, Elsevier, vol. 54(1), pages 205-225, January.
    • Handle: RePEc:eee:gamebe:v:54:y:2006:i:1:p:205-225
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    References listed on IDEAS

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    1. Curiel, I. & Derks, J. & Tijs, S.H., 1989. "On balanced games and games with committee control," Other publications TiSEM 43993ad7-6225-435d-bfa4-b, Tilburg University, School of Economics and Management.
    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. Daniel Granot & Frieda Granot, 1992. "On Some Network Flow Games," Mathematics of Operations Research, INFORMS, vol. 17(4), pages 792-841, November.
    4. Maschler, M. & Potters, J.A.M. & Tijs, S.H., 1992. "The general nucleolus and the reduced game property," Other publications TiSEM ab187dab-1b5b-40c3-a673-8, Tilburg University, School of Economics and Management.
    5. Maschler, M & Potters, J A M & Tijs, S H, 1992. "The General Nucleolus and the Reduced Game Property," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 85-106.
    6. Shanfeng Zhu & Xiaotie Deng & Maocheng Cai & Qizhi Fang, 2002. "On computational complexity of membership test in flow games and linear production games," International Journal of Game Theory, Springer;Game Theory Society, vol. 31(1), pages 39-45.
    7. Reijnierse, J.H. & Maschler, M.B. & Potters, J.A.M. & Tijs, S.H., 1996. "Simple flow games," Other publications TiSEM 1627a9be-de9d-4905-b68a-1, Tilburg University, School of Economics and Management.
    8. Reijnierse, Hans & Maschler, Michael & Potters, Jos & Tijs, Stef, 1996. "Simple Flow Games," Games and Economic Behavior, Elsevier, vol. 16(2), pages 238-260, October.
    9. Reijnierse, Hans & Potters, Jos, 1998. "The -Nucleolus of TU-Games," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 77-96, July.
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    Cited by:

    1. Xiaotie Deng & Qizhi Fang & Xiaoxun Sun, 2009. "Finding nucleolus of flow game," Journal of Combinatorial Optimization, Springer, vol. 18(1), pages 64-86, July.
    2. Qizhi Fang & Bo Li & Xiaohan Shan & Xiaoming Sun, 2018. "Path cooperative games," Journal of Combinatorial Optimization, Springer, vol. 36(1), pages 211-229, July.
    3. Rasulkhani, Saeid & Chow, Joseph Y.J., 2019. "Route-cost-assignment with joint user and operator behavior as a many-to-one stable matching assignment game," Transportation Research Part B: Methodological, Elsevier, vol. 124(C), pages 60-81.
    4. Nguyen, Tri-Dung & Thomas, Lyn, 2016. "Finding the nucleoli of large cooperative games," European Journal of Operational Research, Elsevier, vol. 248(3), pages 1078-1092.
    5. Kuipers, Jeroen & Mosquera, Manuel A. & Zarzuelo, José M., 2013. "Sharing costs in highways: A game theoretic approach," European Journal of Operational Research, Elsevier, vol. 228(1), pages 158-168.
    6. Sunghoon Hong & Myrna Wooders, 2010. "Strategic Network Interdiction," Vanderbilt University Department of Economics Working Papers 1010, Vanderbilt University Department of Economics.
    7. Walter Kern & Daniël Paulusma, 2009. "On the Core and f -Nucleolus of Flow Games," Mathematics of Operations Research, INFORMS, vol. 34(4), pages 981-991, November.
    8. Márton Benedek & Jörg Fliege & Tri-Dung Nguyen, 2020. "Finding and verifying the nucleolus of cooperative games," CERS-IE WORKING PAPERS 2021, Institute of Economics, Centre for Economic and Regional Studies.
    9. Vijay V. Vazirani, 2023. "LP-Duality Theory and the Cores of Games," Papers 2302.07627, arXiv.org, revised Mar 2023.
    10. Zhang Jiangao & Shitao Yang, 2016. "On the Lexicographic Centre of Multiple Objective Optimization," Journal of Optimization Theory and Applications, Springer, vol. 168(2), pages 600-614, February.

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