“…, C p . From Theorem 6 in [8], we know that χ i (N, v, P ) > χ j (N, v, P ) > 0, i ∈ W, j ∈ M. Adding or removing a player would reduce the χ-payoff of the remaining player. Also, substituting a player i ∈ W by a player j ∈ M does not raise the χ-payoffs of the players in at least one new component.…”