7. solving for dominant strategies and the nash equilibrium suppose nick and rosa 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 nick chooses right and rosa chooses right, nick will receive a payoff of 6 and rosa will receive a payoff of 5. rosa left right nick left 8, 4 4, 5 right 5, 4 6, 5