kConsider the following game with perfect information between Player A and Player
B: Player A can choose A1 or A2; after observing the choice made by Player A,
Player B should choose B1 or B2. The payoffs (payoff A, payoff B) are as follows.
• If Player A chooses A1 and Player B chooses B1, the payoffs = (8, 16)
• If Player A chooses A1 and Player B chooses B2, the payoffs = (0, 16)
• If Player A chooses A2 and Player B chooses B1, the payoffs = (16, 8)
• If Player A chooses A2 and Player B chooses B2, the payoffs = (0, 16)
a. Draw the extensive form of this game.
b. Characterize the SPNE for this game.