A Value for Weighted Two-level Coalition Structure

This paper generalizes the Shapley Value to a non-symmetric value for transferable utility games with two level coalition structure. Non-symmetry exists in players and in both two-level coalition structures. We present seven axioms to characterize this value and provide a property which show that our result consistent with Levy and McLean´s weighted coalition structure value and E. Kalai and D. Sament´s weighted Shapley value.