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The Shapley value in the non differentiable case

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  • MERTENS, Jean-François

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Suggested Citation

  • MERTENS, Jean-François, 1988. "The Shapley value in the non differentiable case," LIDAM Reprints CORE 781, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:781
    DOI: 10.1007/BF01240834
    Note: In : International Journal of Game Theory, 17(1), 1-65, 1988
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    Cited by:

    1. Boonen, Tim J. & De Waegenaere, Anja & Norde, Henk, 2020. "A generalization of the Aumann–Shapley value for risk capital allocation problems," European Journal of Operational Research, Elsevier, vol. 282(1), pages 277-287.
    2. Haimanko, Ori, 2002. "Payoffs in Nondifferentiable Perfectly Competitive TU Economies," Journal of Economic Theory, Elsevier, vol. 106(1), pages 17-39, September.
    3. André Casajus & Harald Wiese, 2017. "Scarcity, competition, and value," International Journal of Game Theory, Springer;Game Theory Society, vol. 46(2), pages 295-310, May.
    4. Omer Edhan, 2016. "Values of vector measure market games and their representations," International Journal of Game Theory, Springer;Game Theory Society, vol. 45(1), pages 411-433, March.
    5. Boonen, Tim J. & Tsanakas, Andreas & Wüthrich, Mario V., 2017. "Capital allocation for portfolios with non-linear risk aggregation," Insurance: Mathematics and Economics, Elsevier, vol. 72(C), pages 95-106.
    6. Boonen, Tim J., 2017. "Risk Redistribution Games With Dual Utilities," ASTIN Bulletin, Cambridge University Press, vol. 47(1), pages 303-329, January.
    7. Omer Edhan, 2013. "Values of nondifferentiable vector measure games," International Journal of Game Theory, Springer;Game Theory Society, vol. 42(4), pages 947-972, November.
    8. Edhan, Omer, 2015. "Payoffs in exact TU economies," Journal of Economic Theory, Elsevier, vol. 155(C), pages 152-184.
    9. Chen Chen & Garud Iyengar & Ciamac C. Moallemi, 2013. "An Axiomatic Approach to Systemic Risk," Management Science, INFORMS, vol. 59(6), pages 1373-1388, June.
    10. Haimanko, Ori, 2001. "Cost sharing: the nondifferentiable case," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 445-462, June.
    11. Ori Haimanko, 2019. "The Banzhaf Value and General Semivalues for Differentiable Mixed Games," Mathematics of Operations Research, INFORMS, vol. 44(3), pages 767-782, August.
    12. Boonen, T.J. & De Waegenaere, A.M.B. & Norde, H.W., 2012. "A Generalization of the Aumann-Shapley Value for Risk Capital Allocation Problems," Other publications TiSEM 2c502ef8-76f0-47f5-ab45-1, Tilburg University, School of Economics and Management.

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