The marginal operators for games on convex geometries

JM Bilbao, N Jiménez, E Lebrón… - International Game Theory …, 2006 - World Scientific
JM Bilbao, N Jiménez, E Lebrón, JJ López
International Game Theory Review, 2006World Scientific
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.
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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