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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 This idea has been introduced by Rosales, D. ([2014] Cooperative product games, unpublished mimeo, www.academia.edu/40176429) where he investigates the core.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

    as
    1. 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.
    2. 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..
    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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