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Reducing the number of linear programs needed for solving the nucleolus problem of n-person game theory

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  • Fromen, Bastian

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  • Fromen, Bastian, 1997. "Reducing the number of linear programs needed for solving the nucleolus problem of n-person game theory," European Journal of Operational Research, Elsevier, vol. 98(3), pages 626-636, May.
  • Handle: RePEc:eee:ejores:v:98:y:1997:i:3:p:626-636
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    1. Jos A. M. Potters & Stef H. Tijs, 1992. "The Nucleolus of a Matrix Game and Other Nucleoli," Mathematics of Operations Research, INFORMS, vol. 17(1), pages 164-174, February.
    2. Sankaran, Jayaram K, 1991. "On Finding the Nucleolus of an N-Person Cooperative Game," International Journal of Game Theory, Springer;Game Theory Society, vol. 19(4), pages 329-338.
    3. Alois Behringer, Fred, 1981. "A simplex based algorithm for the lexicographically extended linear maxmin problem," European Journal of Operational Research, Elsevier, vol. 7(3), pages 274-283, July.
    4. Potters, J.A.M. & Tijs, S.H., 1992. "The nucleolus of a matrix game and other nucleoli," Other publications TiSEM ae3402e7-bd19-494b-b0a1-f, Tilburg University, School of Economics and Management.
    5. 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).
    6. 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:

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    3. 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.
    4. Benjamin R. Auer & Tobias Hiller, 2021. "Cost gap, Shapley, or nucleolus allocation: Which is the best game‐theoretic remedy for the low‐risk anomaly?," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(4), pages 876-884, June.
    5. Mingming Leng & Mahmut Parlar, 2010. "Analytic solution for the nucleolus of a three‐player cooperative game," Naval Research Logistics (NRL), John Wiley & Sons, vol. 57(7), pages 667-672, October.
    6. Karaca, Orcun & Delikaraoglou, Stefanos & Hug, Gabriela & Kamgarpour, Maryam, 2022. "Enabling inter-area reserve exchange through stable benefit allocation mechanisms," Omega, Elsevier, vol. 113(C).
    7. Tamas Solymosi & Balazs Sziklai, 2015. "Universal Characterization Sets for the Nucleolus in Balanced Games," CERS-IE WORKING PAPERS 1512, Institute of Economics, Centre for Economic and Regional Studies.
    8. Guajardo, Mario & Jörnsten, Kurt, 2015. "Common mistakes in computing the nucleolus," European Journal of Operational Research, Elsevier, vol. 241(3), pages 931-935.
    9. Meng, Fan-Yong & Gong, Zai-Wu & Pedrycz, Witold & Chu, Jun-Fei, 2023. "Selfish-dilemma consensus analysis for group decision making in the perspective of cooperative game theory," European Journal of Operational Research, Elsevier, vol. 308(1), pages 290-305.
    10. Flisberg, Patrik & Frisk, Mikael & Rönnqvist, Mikael & Guajardo, Mario, 2015. "Potential savings and cost allocations for forest fuel transportation in Sweden: A country-wide study," Energy, Elsevier, vol. 85(C), pages 353-365.
    11. Keyzer, Michiel & van Wesenbeeck, Cornelia, 2011. "Optimal coalition formation and surplus distribution: Two sides of one coin," European Journal of Operational Research, Elsevier, vol. 215(3), pages 604-615, December.
    12. Christoph Weissbart, 2018. "Decarbonization of Power Markets under Stability and Fairness: Do They Influence Efficiency?," ifo Working Paper Series 270, ifo Institute - Leibniz Institute for Economic Research at the University of Munich.

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