A player i is a dummy if v(S) = v(S ∪ i), for every S ⊂ N with i ∈/ S. It looks like a dummy contributes nothing. Show that if i is a dummy and v(i) = 0, then for any x ∈ C(0), it must be true that xi = 0

A player i is a dummy if v(S) = v(S ∪ i), for every S ⊂ N with i ∈/ S. It looks like a dummy contributes nothing. Show that if i is a dummy and v(i) = 0, then for any x ∈ C(0), it must be true that xi = 0

A player i is a dummy if v(S) = v(S ∪ i), for every S ⊂ N with i ∈/ S. It looks like a dummy contributes nothing. Show that if i is a dummy and v(i) = 0, then for any x ∈ C(0), it must be true that xi = 0
A player i is a dummy if v(S) = v(S ∪ i), for every S ⊂ N with i ∈/ S. It looks like a dummy contributes nothing. Show that if i is a dummy and v(i) = 0, then for any x ∈ C(0), it must be true that xi = 0

 

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