A recursive solution concept for multichoice games

We propose a new axiomatization of the Shapley value for cooperative games, where symmetry and efficiency can be discarded and replaced with new natural axioms. From any game, an excluded-player game is built by discarding all coalitions that contain a fixed player. Then it is shown that the Shapley value is the unique value satisfying the linearity axiom, the nullity axiom, the excluded-null-player axiom, and the equity axiom. In the second part, by generalizing the above material, the Shapley value for multichoice games is worked out.