1. Evaluate the following payoffs for the game given by the normal form pic- tured here. [Remember, a mixed strategy for player 1 is of E A { U. M, D). where o (U) is the probability that player 1 plays strategy U, and so forth. For simplicity, we write of as (o,(U), o, (M), o,(D)), and similarly for player 2.] 2 L C R U 10, 0 0, 10 3, 3 M 2, 10 10. 2 6, 4 D 3. 3 4, 6 6, 6 (a) u(U, C) (b) u2(M, R) (c) u,(D, C) (d) u,(o,, C) for of = (1/3, 2/3, 0) (e) u (o, R) for o, = (1/4, 1/2, 1/4) (f) u,(0, L) for of = (0, 1, 0) (g) uz(0,, R) for o, = (1/3, 2/3, 0) (h) uz(01, 02) for o, = (1/2, 1/2, 0) and oz = (1/4, 1/4, 1/2)