Prove that if player i is a dummy player in a game

Reference no: EM131333331

Player i in a coalitional game (N; v) is a dummy player if

v(S ∪ {i}) = v(S) + v(i), ∀S ⊆ N|{i}.

Prove that if player i is a dummy player in a game (N; v) then under both the nucleolus and the prenucleolus, player i's payoff is v(i), that is, Ni(N; v) = v(i) and PN _i(N; v) = v(i).

Reference no: EM131333331

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