48. Consider the game depicted below. (x,y,z) means that the pay-off for player 1 is x, for player 2 is y, and for player 3 is z. What is the Nash Equilibrium in this game? [HINT: use backward induction to solve the game and note all strategies necessary to achieve the Nash equilibrium in this sequential game. Player 1 L R Player 3 Player 2 1' r a b (9,4,1) (10,7,1) Player 3 Player 3 (10,5,5) (20,1,1) (40,-2,-3) (15,2,3) f) (R,a,l'lr) with payoff (10, 5, 5) g) (R,a,l) with payoff (10, 5, 5) h) (L,a, r'lr) with payoff (10, 7, 1) i) (L,a, 1) with payoff (10, 5, 5) j) (L, l') with payoff (9, 4, 1)