2) Consider the following extensive form game.
1
1,1
A
A
B 2
1
C
-3,5
D
4,1
2,3
X\1\4
Y 5,2
(a) Draw the normal form. (15 POINTS)
(b) Find and write down all the pure strategy Nash equilibria. (10 POINTS)
(c) Show all the proper subgames clearly using a picture. How many are there? (5
POINTS)
(d) Find all SPE of the game. Show the process by which you arrive at the answer. (10
POINTS)