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we better check that no individual player
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can do better by deviating.
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So let's start with Player 1.
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If Player 1 deviates holding Player 2 and 3 fixed,
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then Player 1 will be switching the matrix
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from Matrix A to Matrix B. Is that correct?
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So we'll move from this box in the left hand matrix
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to the equivalent box in the right hand matrix.
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Player 1's payoff will go from 1 to 0,
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so Player 1 doesn't want to deviate.
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Everyone happy with that?
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Player 1 doesn't want to deviate here.