1. Consider the following two-player simultaneous move game, given in strategic form game by the following payoff matrix : R U 4,3 1,1 D 6,2 (a) Find all Nash Equilibria of the game. (b) Now, consider modifying the game such that player 1 plays first (and there is perfect information). Formalize the extensive form of this game. (c) Write the corresponding normal form of the new game and find all its pure strategy Nash Equilibria. (d) Find the only Subgame Perfect Nash Equilibrium of the new game