Use iterated elimination of dominated strategies to reduce the following games to smaller games in which iterated elimination of dominated strategies can no longer be used. State the order in which you eliminate strategies, and, for each strategy that you eliminate, state which remaining strategy dominates it. If you find a dominant strategy equilibrium, state what it is. (a) Use iterated elimination of strictly dominated strategies:
t1 t2 t3
s1 (73, 25) (57,42) (66,32)
s2 (80, 26) (35,12) (32,54)
S3 (28, 27) (63,31) (54,29)
(b) In this problem, use iterated elimination of weakly dominated strategies:
t1 t2 t3 t4 t5
S1 (63,1) (28,20) (-2,0) (-2,45) (-3,19)
S2 (32,3) (2,0) (2,5) (33,0) (2,3)
S3 (54,-2) (95,4) (0,2) (4,-1) (0,4)
S4 (1,33) (-3,43) (-1,39) (1,-12) (1,17)
S5 (54,0) (1, -13) (-1,88) (-2,-57) (-3,-1)