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The Marginal Operators For Games On Convex Geometries

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  • J. M. BILBAO

    ()
    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • N. JIMÉNEZ

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • E. LEBRÓN

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

  • J. J. LÓPEZ

    (Department of Applied Mathematics, University of Seville, Camino de los Descubrimientos, 41092 Sevilla, Spain)

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    Abstract

    In this work we study situations in which communication among the players is not complete and it is represented by a family of subsets of the set of players. Although several models of partial cooperation have been proposed, we shall follow a model derived from the work of Faigle and Kern. We define the games on convex geometries and introduce marginal worth vectors and quasi-supermodular games. Furthermore, we analyze some properties of the marginal operators on the space of games on convex geometries.

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    Bibliographic Info

    Article provided by World Scientific Publishing Co. Pte. Ltd. in its journal International Game Theory Review.

    Volume (Year): 08 (2006)
    Issue (Month): 01 ()
    Pages: 141-151

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    Handle: RePEc:wsi:igtrxx:v:08:y:2006:i:01:p:141-151

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    Related research

    Keywords: Marginal operators; quasi-supermodular games; Subject Classification: 91A12;

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