condition than convexity of the game. For an arbitrary set system we show that there exists a unique minimal building set …

-building set. Properties of this solution are also studied. To establish core stability we introduce appropriate convexity …

coalition of players. For cooperative games with transferable utility (TU-games) the notion of convexity was introduced to … guarantee that the Shapley value, being the average of all marginal vectors of the game, is an element of the core. Convexity of … convexity. Under super-modularity of an NTU-game it is shown that all appropriately dened marginal vectors of the game are …