Evaluate the following payoffs for the game given by the normal form pic- tured here. [remember, a mixed strategy for player i is σ1e δ(u, m, d), where σ(u) is the probability that player 1 plays strategy u, and so forth. for simplicity, we write σ' as ( u), σ1(m), σ1( and similarly for player 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) u2d, c)
(d) 11 i(ri, c) foro, = (1/3,2/3,0)
(e) 11 lor, r) for σ| = (1/4, 1/2, l/4)
(f) iii(ol, l) for σ| = (0, 1,0)
(g) 112(oti, r) for σ' = (1/3, 2/3,0)
(h) 112(ol, dt2) foro, = (1/2, 1/2, 0) and σ2 = (1/4, 1/4, 1/2).