Solving for dominant strategies and the Nash equilibrium Suppose Andrew and Beth 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 Andrew chooses Right and Beth chooses Right, Andrew will receive a payoff of 6 and Beth will receive a payoff of 5. Beth Left Right Andrew Left 8, 4 4, 5 Right 5, 4 6, 5 The only dominant strategy in this game is for to choose .
The outcome reflecting the unique Nash equilibrium in this game is as follows:
Andrew chooses and Beth chooses .