It is shown that the Harsanyi NTU solution is consistent according to the Hart and Mas-Colell reduced game for NTU games, when we consider payoff configurations as solution outcomes. Moreover, we characterize this solution on a wide class of NTU games where this solution is single-valued:...

We consider games with n players and r alternatives. In these games each player must choose one and only one alternative, reaching an ordered partition of the set of players. An extension of the Shapley value to this framework is studied.