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A note on weighted multi-glove games

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  • Stefano Moretti

    (Université Paris-Dauphine, PSL Research University, CNRS, UMR [7243], LAMSADE)

  • Henk Norde

    (Tilburg University)

Abstract

In this note we consider the class of weighted multi-glove games. We will show that these games are totally balanced and we will characterize the weighted multi-glove games that are supermodular and pmas-admissible. Moreover, we will provide an explicit expression for the Shapley value of the supermodular and a large part of the pmas-admissible weighted multi-glove games.

Suggested Citation

  • Stefano Moretti & Henk Norde, 2021. "A note on weighted multi-glove games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 57(4), pages 721-732, November.
    • Handle: RePEc:spr:sochwe:v:57:y:2021:i:4:d:10.1007_s00355-021-01337-8
    DOI: 10.1007/s00355-021-01337-8
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    References listed on IDEAS

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    Cited by:

    1. Sylvain Béal & Marc Deschamps & Mostapha Diss & Rodrigue Tido Takeng, 2024. "Cooperative games with diversity constraints," Working Papers hal-04447373, HAL.
    2. Tamás Solymosi, 2024. "Assignment games with population monotonic allocation schemes," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 62(1), pages 67-88, February.
    3. Stefano Moretti & Henk Norde, 2022. "Some new results on generalized additive games," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(1), pages 87-118, March.

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