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Game Theory Problem

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?
(Please see attachment for full question)

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Solution Summary

Given a payoff matrix, It is determined how a game should be played. The solution is detailed and well presented.

$2.19