Consider a simultaneous game, where the row player strategies are up and down, and the column player strategies are left and right. If row plays up and column plays left, the payoffs are payoff(up, left) = (3, -3). Following this notation, the other payoffs are: payoff(down, left) = (-7, 7), payoff(up, right) = (-2, 2), payoff(down, right) = (10, -10).

>>> Question: If p1 denotes the frequency of row playing up, p2 the frequency of row playing down, q1 the frequency of column playing left and q2 the frequency of column playing right. What values of p1, p2, q1, and q2 determine the mixed strategy Nash equilibrium of the game?

Group of answer choices

A. p1 = 0.7727, p2 = 0.2273, q1 = 0.5455, q2 = 0.4545.

B. p1 = 0.6818, p2 = 0.3182, q1 = 0.5, q2 = 0.5.

C. p1 = 0.4091, p2 = 0.5909, q1 = 0.3636, q2 = 0.6364.

D. p1 = 0.6667, p2 = 0.3333, q1 = 0.3333, q2 = 0.6667.

Part 2: Why did you choose your answer?