A game on a convex geometry is a real-valued function defined on the family of the closed sets of a closure operator which satisfies the finite Minkowski–Krein–Milman property.
Dec 1, 1999 · We will introduce convex and quasi-convex games on convex geometries and we will study some properties of the core and the Weber set of these games.
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It is shown that if a game is quasi-convex, then the core is stable, and the core on the class of balanced games on a convex geometry has a consistency ...
Secondly, we show the core on the class of balanced games on a convex geometry has a consistency property, called the reduced game property. Moreover, we ...
Abstract. The concepts of core and stability consist of a part of the main topics of cooper- ative game theory. We consider a game on a convex geometry, ...
Bilbao, J. M. & Lebron, E. & Jimenez, N., 1999. "The core of games on convex geometries," European Journal of Operational Research, Elsevier, vol.
Abstract: We follow the path initiated in Shapley (1971) and study the geometry of the core of convex and strictly convex games. We define what we call face ...
In this paper it is shown that the core of a convex game is not empty and that it has an especially regular structure.
A cooperative game on a convex geometry is introduced by Bilbao [1] as a model of cooperation structures in which only certain coalitions are allowed to ...
We consider a game on a convex geometry, which is introduced by Bilbao. We show that if a game is quasi-convex, then the core is stable. This result can be seen ...