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Game Theory Problem

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Rose and Cathy decide to play a matrix game. Each has two options, conveniently
called W and L. If both pick W, Cathy pays Rose $4; if both pick L, Cathy pays Rose $2; if Rose chooses L and Cathy chooses W, Cathy pays $1 to Rose; and finally, if Rose chooses W and Cathy chooses L, Rose pays Cathy $1. The payoff matrix for Rose can be represented as
$4 - $1
$1 $2,
where the first row and column represents choosing W and the second row and column represents choosing L. Also, Rose is the row player and Cathy is the column player. How should Rose and Cathy play this game?
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Given a payoff matrix, It is determined how a game should be played. The solution is detailed and well presented.

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Rose and Cathy decide to play a matrix game. Each has two options, conveniently called W and L. If both pick W, Cathy pays Rose $4; if both pick L, Cathy pays Rose $2; if Rose chooses L and Cathy chooses W, Cathy pays $1 to ...

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