THE MARGINAL OPERATORS FOR GAMES ON CONVEX GEOMETRIES

J. M. Bilbao (), N. Jiménez, E. Lebrón and J. J. López
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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

International Game Theory Review (IGTR), 2006, vol. 08, issue 01, 141-151

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: Marginal operators; quasi-supermodular games; Subject Classification: 91A12 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S0219198906000837

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