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(a) Is the three-player game (N; v) in which v is given by monotonic? Justify your answer.
v(1) = 3,v(2) = 13,v(3) = 4,v(1,2) = 12,v(1,3) = 15,v(2,3) = 1,v(1,2,3) = 10,
(b) Find a monotonic game that is strategically equivalent to (N; v).
(c) Prove that every game is strategically equivalent to a monotonic game. It follows that the property of monotonicity is not invariant under strategic equivalence.
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