Question 1 Find all the pure Bayesian Nash equilibrium in the following game: Player 1 and Player 2 play either game A or game B. Player 1 knows which game they are playing. Player 2 believes they are playing game A with probability 1/3 and game B with probability 2/3. Game A Game B Player 2 Player 2 L R L R Player 1 U 0, 1 Player 1 U 3, 0 D -3,1 D_ 9/2,3/2