1. A 2-player extensive form game with the players Pl and P2 is shown below. Payoffs are given in the usual order (P1, P2). (a) Analyze the game using backward induction and indicate the path through the game tree that will be taken (according to your analysis). It is not necessary to provide explanations for ea step of the backward induction. V (b) Create a normal form game corresponding to the extensive form game. (c) Find any Nash equilibria in the normal form game. (d) Which Nash equilibria from the normal form game, if any, correspond to the outcome found through backward induction? Briefly explain. P2 (2,5) (3, 4) (3, 1 ) (2, 3) (3, 2)