Question: A player i is called a null player in a game (N, w) if he contributes nothing to any coalition, that is, if w(S

A player i is called a null player in a game (N, w) if he contributes nothing to any coalition, that is, if
w(S ∪ {i}) = w(S) for every S ⊆ N
Verify that the Shapley value of a null player is zero, that is,
i null ⇒ ϕiw = 0

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