Suppose Raphael and Susan are playing a game in which both must simultaneously choose the action Left or Right. The payoff matrix that follows shows the payoff each person will earn as a function of both of their choices. For example, the lower-right cell shows that if Raphael chooses Right and Susan chooses Right, Raphael will receive a payoff of 3 and Susan will receive a payoff of 7. Susan
Left Right
Raphael Left 6,3 6,4
Right 3,3 7,4

The only dominant strategy in this game is for to choose