Lt n v and n w be two coalitional games satisfying vn wn
Let (N; v) and (N; w) be two coalitional games satisfying v(N) = w(N) and v(S) ≥ w(S) for every coalition S ⊆ N. Prove or disprove each of the following two claims:
(a) If C(N;v) ≠ Ø then C(N;ω) ≠ Ø.
(b) If C(N;ω) ≠ Ø then C(N;v) ≠ Ø.
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