Consider a game in which Player 1 first selects between L and R. If Player 1 selects L, then players 1 and 2 play a prisoner's dilemma game represented in the strategic form below. If Player 1 selects R then, Player 1 and 2 play a Pareto coordination game in which they simultaneously and independently choose between A and B. If they both choose A, then the payoff vector is (4,4). If they both choose B, then the payoff vector is (2,2). Finally, if one chooses A while the other B then the payoff vector is (0, O). C D C 6,6 1,7 D 7,1 3.3 Respond to the questions below. a) Represent the game in extensive form (game tree). b) Write down the strategy sets of each player. 0) Represent the game in strategic form (matrix). d) Find all the pure strategy Nash equilibrium profiles. e) Find all the sugbame perfect Nash equilibrium profiles in pure strategies