Game theory

Consider the following normal-form game. L C R U 3, 6 8, 2 6, 8 M 4, 6 8, 7 8, 10 D 4, 4 9,5 7,4 (a) [3 points] Which strategies survive iterated elimination of strictly dominated strate- gies? (b) [2 points] What are the pure-strategy Nash equilibria? (c) [3 points] Find the mixed-strategy Nash equilibrium. (d) [2 points] What is the backward induction prediction if player 1 moves first, and player 2 observes player 1's action before choosing her strategy