POSC015: Comparative Politics Problem Set I
1. (45 pts.) 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) inChapter 2 of Clark, et al.
2. (40 pts.) Solve problems 2 (15 pts) & 4 (25 pts) in Chapter 3 of Clark, etal.
3. (10 pts.) Consider the extensive form game below.
(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
Indridi H. Indridason Winter 2023
POSC015: Comparative Politics Problem Set I
4. (10 pts) Consider the extensive form game below.
(a) 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
(6,2,1)
F
P3
(6,0,1)I
(2,3,2)
H
GB
5. (15 pts.) Find the Nash equilibria of the games. [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 2L R
Candidate 1U 0, 0 1, 1D 1, 1 0, 0
(b) .
Candidate 2L R
Candidate 1U 0, 0 100, 100D 1, 1 0, 0
Indridi H. Indridason Winter 2023
POSC015: Comparative Politics Problem Set I
(c) .
Candidate 2L R
Candidate 1U 1, 1 1, 1D 1, 1 1, 1
6. (5 pts.) Watch these two clips from the British game show `Golden Balls':Clip 1 and Clip 2. Draw the strategic form game of the second clip (thestructure of the game in the two clips is identical only the money at stakedi�ers). Does the game resemble any game that you are familiar with?The way the game is played in the second clip is a little may seem a littlesurprising? Consider the game you have just drawn can you make senseof why the players adopted their strategies?
7. (5 pts.) Can you think of a political situation that resembles the prisoner'sdilemma (the state of nature game)? That is, a situation where, e.g., both(all) actors have an incentive to choose a particular action when the actorswould have been better o� not choosing that action. Brie�y explain why(bonus for sketching the game)
Make sure you explain how you arrive at your solution � you won't receivepartial credit for incorrect answers unless we can see that you have done a partof the problem correctly. It is your responsibility to convey the answers in aclear manner. The homework is due at the beginning of class on January 26.
Indridi H. Indridason Winter 2023
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