Solving for dominant strategies and the Nash equilibrium Suppose Clancy and Eileen 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 Clancy chooses Right and Eileen chooses Right, Clancy will receive a payoff of 7 and Eileen will receive a payoff of 6. Eileen Left Right Clancy Left 4, 3 6, 4 Right 6, 7 7, 6

The only dominant strategy in this game is to choose.

The outcome reflecting the unique Nash equilibrium in this game is as follows:

Clancy chooses and Eileen chooses