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Sharing a collective probability of success

Author

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  • Dehez, Pierre

    (Université catholique de Louvain, LIDAM/CORE, Belgium)

Abstract

How to allocate the probability of reaching a target resulting from the joint action of a group of players? This question is framed within transferable utility games. We analyze the properties of games resulting from different scenarios, characterize their core and provide a proper axiomatic foundation to their Shapley value.

Suggested Citation

  • Dehez, Pierre, 2023. "Sharing a collective probability of success," LIDAM Reprints CORE 3226, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3226
    DOI: https://doi.org/10.1016/j.mathsocsci.2023.03.006
    Note: In: Mathematical Social Sciences, 2023, vol. 123, p. 122-127
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    References listed on IDEAS

    as
    1. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer;Game Theory Society, vol. 21(1), pages 27-39.
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    5. Samuel Ferey & Pierre Dehez, 2016. "Multiple Causation, Apportionment, and the Shapley Value," The Journal of Legal Studies, University of Chicago Press, vol. 45(1), pages 143-171.
    6. Fatma Aslan & Papatya Duman & Walter Trockel, 2019. "Duality for General TU-games Redefined," Working Papers CIE 121, Paderborn University, CIE Center for International Economics.
    7. Pierre Dehez, 2017. "On Harsanyi Dividends and Asymmetric Values," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 19(03), pages 1-36, September.
    8. Zhao, Jingang, 2018. "Three little-known and yet still significant contributions of Lloyd Shapley," Games and Economic Behavior, Elsevier, vol. 108(C), pages 592-599.
    9. Dehez, Pierre & Ferey, Samuel, 2013. "How to share joint liability: A cooperative game approach," Mathematical Social Sciences, Elsevier, vol. 66(1), pages 44-50.
    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. S. C. Littlechild & G. Owen, 1973. "A Simple Expression for the Shapley Value in a Special Case," Management Science, INFORMS, vol. 20(3), pages 370-372, November.
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