1. Solve problems 3 (10 pts), 9 (only last four statements, 10 pts), 11 (only
the statement about the senators, 10 pts), and 13 (15 pts) in Chapter 2
of Clark, et. al.
2. Solve problem 2 (15 pts) & 4 (25 pts) in Chapter 3 of Clark, et. al.
3. Consider the extensive form game below. (10 pts)
(a) What are the strategies of each of the three players?
(b) What are the subgame perfect equilibria of the game?
P1
P2
(3,4,1)
C
(1,3,3)
D
(1,2,1)
E
A
P2
(6,1,1)
F
P3
(6,0,1)
I
(2,2,2)
H
G
B
4. Consider the extensive form game below. (10 pts)
(a) What are the subgame perfect equilibria of the game?
Indriði H. Indriðason Fall 2017
POSC015: Comparative Politics Problem Set I
P1
P2
(3,4,1)
C
(1,3,3)
D
(1,2,1)
E
A
P2
(6,2,1)
F
P3
(6,0,1)
I
(2,3,2)
H
G
B
5. Find the Nash equilibria of the games. (5 pts. each) [Note on best
replies: If the best reply is not unique then all the actions that result in
the highest payo are best replies.]
(a)
Candidate 2
L R
Candidate 1 U 0, 0 1, 1
D 1, 1 0, 0
(b)
Candidate 2
L R
Candidate 1 U 0, 0 100, 100
D 1, 1 0, 0
(c)
Candidate 2
L R
Candidate 1 U 1, 1 1, 1
D 1, 1 1, 1
explain how you arrive at your solution