Equilibrium payoffs are (2, 3, 2). Player A’s equilib- rium strategy is “N and then N if b follows N or N if d follows N” or “Always N.” Player B’s equilibrium strategy is “b if N” (or just b). Player C’s equilibrium strategy is “d if S” (or just d).
For(b):
Player A has eight strategies:
(1) “N and N if b or N if d,”
(2) “N and N if b or S if d,”
(3) “N and S ,if b or N if d,”
(4) “N and S if b or S if d,”
(5) “S and
N if b or N if d,”
(6) “S and N if b or S if d,”
(7) “S and S if b or N if d,” or
(8) “S and S if b or S if d.”
Player B has two strategies:
(1) “t if N,”
(2) “b if N.”