Two coalitional games with the same set of players

Reference no: EM131333213

Let (N; v) and (N; w) be two coalitional games with the same set of players.

Let x ∈ X(B; v) and y ∈ X(B; w). Does x + y ∈ X(B; v + w) necessarily hold? Does x - y ∈ X(B; v - w) necessarily hold?

If you answer yes to either question, provide a proof. If you answer no, present a counterexample.

Reference no: EM131333213

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