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A note on weighted multi-glove games

Author

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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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    1. Rodica Brânzei & Tamás Solymosi & Stef Tijs, 2007. "Type monotonic allocation schemes for a class of market games," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 15(1), pages 78-88, July.
    2. Ehud Kalai & Eitan Zemel, 1982. "Totally Balanced Games and Games of Flow," Mathematics of Operations Research, INFORMS, vol. 7(3), pages 476-478, August.
    3. Csóka, Péter & Herings, P. Jean-Jacques & Kóczy, László Á., 2009. "Stable allocations of risk," Games and Economic Behavior, Elsevier, vol. 67(1), pages 266-276, September.
    4. Ehud Kalai & Eitan Zemel, 1982. "Generalized Network Problems Yielding Totally Balanced Games," Operations Research, INFORMS, vol. 30(5), pages 998-1008, October.
    5. Yevgenia Apartsin & Ron Holzman, 2003. "The core and the bargaining set in glove-market games," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(2), pages 189-204, December.
    6. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
    7. Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December.
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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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