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Closure spaces and restricted games

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Abstract.

We study a cooperation structure in which the feasible coalitions are those belonging to a partition closure system. First, we develop the relation between the dividends of Harsanyi in the restricted game and the worth function in the original game. Next, we obtain an method for computing the Shapley and Banzhaf values of the closure-restricted games using the dividends formula. Finally, we analyze the dividends in symmetric games by means of the k-th difference operator.

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Authors and Affiliations

  1. Department of Applied Mathematics II, Escuela Superior de Ingenieros, Camino de los Descubrimientos, E-41092 Sevilla, Spain (e-Mail: mbilbao@matinc.us.es), , , , , , ES

    Jesús Mario Bilbao

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  1. Jesús Mario Bilbao
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Received July 1996/Revised version July 1997

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Bilbao, J. Closure spaces and restricted games. Mathematical Methods of OR 48, 57–69 (1998). https://doi.org/10.1007/PL00020905

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  • DOI: https://doi.org/10.1007/PL00020905