2. Consider the following 3-player game where each player has 3 strategies. Player 1 decides up, middle, or down (U, M, D). Player 2 simultaneously decides whether to go left, center, or right (L, C, R). Player 3 decides whether to move forward, backward, or stay put (F, B, S). Using the payoffs shown below, find all Pure Strategy Nash Equilibrium. L C R L C R L C R U 2, 1, 3 2, 2, 2 2, 1, 3 3, 3, 4 4, 1, 1 6, 2, 3 4, 2, 2 2, 1, 3 3, 3, 3 M 3, 2, 2 3, 1, 2 4, 2, 5 1, 3, 2 4, 2, 2 4, 1, 5 2 , 1 , 1 1, 1, 1 3, 4, 1 D 2, 1, 1 1, 2, 3 4, 1, 3 9, 1, 1 2, 1, 1 3, 0, 3 3 , 4 . 5 3 , 7 , 1 4, 4, 3 F B S