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Cooperative Product Games

Author

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  • Pierre Dehez

    (Center for Operations Research and Econometrics, University of Louvain Louvain-la-Neuve, 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 This idea has been introduced by Rosales, D. ([2014] Cooperative product games, unpublished mimeo, www.academia.edu/40176429) where he investigates the core.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

  • Pierre Dehez, 2024. "Cooperative Product Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 26(01), pages 1-13, March.
  • Handle: RePEc:wsi:igtrxx:v:26:y:2024:i:01:n:s0219198923500160
    DOI: 10.1142/S0219198923500160
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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. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
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    Cited by:

    1. Pierre Dehez, 2024. "Dividing the expected payoff resulting from joint actions," Economics Bulletin, AccessEcon, vol. 44(3), pages 880-888.

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