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THE MARGINAL OPERATORS FOR GAMES ON CONVEX GEOMETRIES

J. M. BILBAO

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

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N. JIMÉNEZ

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

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E. LEBRÓN

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

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J. J. LÓPEZ

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

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https://doi.org/10.1142/S0219198906000837Cited by:3 (Source: Crossref)

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.

Keywords:

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