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Cooperative product games

Author

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  • Dehez, Pierre

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

Abstract

A cooperative product game is a transferable utility game defined by associating the product of given players’ coefficient to coalitions. This idea has been introduced by Rosales, D. ([2014] Cooperative product games, unpublished mimeo, www.academia.edu/40176429) where he investigates the core. Here, we analyze a corrected definition of a product game and cover the Shapley value to which we provide an axiomatic foundation.

Suggested Citation

  • Dehez, Pierre, 2024. "Cooperative product games," LIDAM Reprints CORE 3280, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvrp:3280
    DOI: https:///dx.doi.org/10.1142/S0219198923500160
    Note: In: International Game Theory Review, 2024, vol. 26(1), 2350016
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    References listed on IDEAS

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    1. Ricardo Martínez & Joaquín Sánchez-Soriano, 2021. "Mathematical indices for the influence of risk factors on the lethality of a disease," ThE Papers 21/02, Department of Economic Theory and Economic History of the University of Granada..
    2. 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.
    3. 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.
    4. Helena Jasiulewicz & Wojciech Kordecki, 2016. "Multiplicative parameters and estimators: applications in economics and finance," Annals of Operations Research, Springer, vol. 238(1), pages 299-313, March.
    5. Helena Jasiulewicz & Wojciech Kordecki, 2016. "Multiplicative parameters and estimators: applications in economics and finance," Annals of Operations Research, Springer, vol. 238(1), pages 299-313, March.
    6. L. S. Shapley & Martin Shubik, 1967. "Ownership and the Production Function," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 81(1), pages 88-111.
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    Cited by:

    1. Dehez, Pierre, 2023. "Dividing the expected payoff resulting from joint actions," LIDAM Discussion Papers CORE 2023017, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

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