Is every game is strategically equivalent to monotonic game

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Reference no: EM131333238

(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.

Reference no: EM131333238

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