8.1 Consider the following game:

Player 2 D E Player 1 A 7, 6 5, 8 B 5, 8 7, 6 F

0, 0 1, 1 C 0, 0 1, 1 4, 4

a. Find the pure-strategy Nash equilibria (if any).

b. Find the mixed-strategy Nash equilibrium in which each player randomizes over just the first two actions.

c. Compute players’ expected payoffs in the equilibria found in parts

(a) and (b).

d. Draw the extensive form for this game.