This paper investigates core stability of cooperative (TU) games via a fuzzy extension of the totally balanced cover of … a cooperative game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to … reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the …

Core elements (a la Aubin) of a fuzzy game can be associated with additive separable supporting functions of fuzzy … and studied. While the Aubin core of unanimity games can be empty, the generalized core of unanimity games is nonempty … are found such as the fact that the generalized core is a unique generalized stable set. …

allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a nonempty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …