X 2 L R X (3,3) (4,4) y D Y (7,2) ( 5,4 ) (6,1) (1) Find the SPNE (subgame perfect Nash equilibrium) of the above extensive form game, using the backward induction. (2) The original extensive form game could be represented by the following strategic form game, where each player's strategy set is S1 = {L, R, D } and S2 = {xX, xY.yX, yY }, respectively. Fill in the payoff matrix and find all pure strategy Nash equilibria. Player 2 xX x Y yX yY L Player 1 R. D