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Communications to the Editor--A Note on the Shapley Value

Author

Listed:
  • Guillermo Owen

    (Fordham University)

Abstract

In Shapley, L. S. 1953. Additive and non-additive set functions. Ph.D. thesis, Department of Mathematics, Princeton University, Shapley considers a modification of his power index. The modified values are introduced via special weights. This note suggests that those weights should be thought of as coefficients of slowness to reach decision.

Suggested Citation

  • Guillermo Owen, 1968. "Communications to the Editor--A Note on the Shapley Value," Management Science, INFORMS, vol. 14(11), pages 731-731, July.
    • Handle: RePEc:inm:ormnsc:v:14:y:1968:i:11:p:731-731
    DOI: 10.1287/mnsc.14.11.731
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    Cited by:

    1. Ghintran, Amandine, 2013. "Weighted position values," Mathematical Social Sciences, Elsevier, vol. 65(3), pages 157-163.
    2. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2024. "Weighted Myerson value for Network games," Papers 2402.11464, arXiv.org.
    3. Zhang, Tianhan & Qiu, Weiqiang & Zhang, Zhi & Lin, Zhenzhi & Ding, Yi & Wang, Yiting & Wang, Lianfang & Yang, Li, 2023. "Optimal bidding strategy and profit allocation method for shared energy storage-assisted VPP in joint energy and regulation markets," Applied Energy, Elsevier, vol. 329(C).
    4. Demuynck, Thomas & Rock, Bram De & Ginsburgh, Victor, 2016. "The transfer paradox in welfare space," Journal of Mathematical Economics, Elsevier, vol. 62(C), pages 1-4.
    5. Mi Gan & Shuai Yang & Dandan Li & Mingfei Wang & Si Chen & Ronghui Xie & Jiyang Liu, 2018. "A Novel Intensive Distribution Logistics Network Design and Profit Allocation Problem considering Sharing Economy," Complexity, Hindawi, vol. 2018, pages 1-15, April.
    6. Inés Macho-Stadler & David Pérez-Castrillo & David Wettstein, 2010. "Dividends and weighted values in games with externalities," International Journal of Game Theory, Springer;Game Theory Society, vol. 39(1), pages 177-184, March.
    7. C. Manuel & D. Martín, 2021. "A value for communication situations with players having different bargaining abilities," Annals of Operations Research, Springer, vol. 301(1), pages 161-182, June.
    8. Niharika Kakoty & Surajit Borkotokey & Rajnish Kumar & Abhijit Bora, 2023. "Weighted position value for Network games," Papers 2308.03494, arXiv.org.
    9. Ori Haimanko, 2020. "Generalized Coleman-Shapley indices and total-power monotonicity," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(1), pages 299-320, March.
    10. 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.
    11. Sabien Dobbelaere & Roland Iwan Luttens, 2011. "Collective Bargaining under Non-binding Contracts," Tinbergen Institute Discussion Papers 11-041/3, Tinbergen Institute.
    12. Emilio Calvo & Esther Gutiérrez-López, 2017. "Asymmetric players in the Solidarity and Shapley values," Discussion Papers in Economic Behaviour 0217, University of Valencia, ERI-CES.
    13. Conrado M. Manuel & Daniel Martín, 2021. "A Monotonic Weighted Banzhaf Value for Voting Games," Mathematics, MDPI, vol. 9(12), pages 1-23, June.

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