11. (5%) Consider an extensive form game between three players (players 1, 2, and 3) depicted
below:
4,3,7
P
3
A
2
Q
0,23,4
P
20,53,42
U
1
B3
Q
12,6,8
5,22, 12
3
P
D
C
Q
2
10,2,87
E
4,33,42
Determine the set of all strategies of player 3:
a. {A, B, P, Q}
b. {PPP, PPQ, PQP, QPP, PQQ, QPQ, QQP, QQQ}
c. {PP, PQ, QP, QQ}
d. {P, Q} (*)