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 5 and Eileen will receive a payoff of 3. The only dominant strategy in this game is for to choose . The outcome reflecting the unique Nash equilibrium in this game is as follows: Clancy chooses and Eileen chooses . The chart looks like this:
Eileen
left right
Clancy left 4,4 6,3
right 5,4 5,3