7. Solving for dominant strategies and the Nash equilibrium Suppose Hakeem and Alexandra are playing a game that requires both to simultaneously choose an action: Up or Down. The payoff matrix that follows shows the earnings of each person as a function of both of their choices. For example, the upper-right cell shows that if Hakeem chooses Up and Alexandra chooses Down, Hakeem will receive a payoff of 4 and Alexandra will receive a payoff of 4. Alexandra Up Down Up 2, 3 4, 4 Hakeem Down 3, 7 6, 6 In this game, the only dominant strategy is for Hakeem to choose Down . The outcome reflecting the unique Nash equilibrium in this game is as follows: Hakeem chooses Down and Alexandra chooses Up