coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

We introduce a theory on marginal values and their core stability for cooperative games with arbitrary coalition … structure. The theory is based on the notion of nested sets and the complex of nested sets associated to an arbitrary set system … graph and the NT-solution coincides with the average tree solution. We also study core stability of the solutions and show …

is the same. We further give weak forms of convexity that are necessary and sufficient conditions for the core stability …

coalitions also their union is feasible. Properties of solutions (the core, the nucleolus, the prekernel and the Shapley value …

Weak Sequential Core and their characterization result. We also provide the remedy, a modification of the definition, to …

interval games and their relations with the interval core for convex interval games are established. A square operator is … introduced which allows us to obtain interval solutions starting from classical cooperative game theory solutions. It turns out … that on the class of convex interval games the square Weber set coincides with the interval core …

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

Our objective is to analyze the relationship between the Shapley value and the core of cooperative games with … transferable utility. We first characterize balanced games, i.e., the set of games with a nonempty core, through geometric … nonnegative linear combination of some simple games. Moreover, we show that the set of games whose Shapley value lies in the core …