solving for dominant strategies and the nash equilibrium suppose ethan and cadence 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 ethan chooses up and cadence chooses down, ethan will receive a payoff of 6 and cadence will receive a payoff of 4. cadence up down ethan up 4, 3 6, 4 down 6, 7 7, 6 in this game, the only dominant strategy is for to choose . the outcome reflecting the unique nash equilibrium in this game is as follows: ethan chooses and cadence chooses
