Chapter 22 – Political Choices
1. Suppose that two candidates in a local election are trying to develop their
policy positions regarding how much their town should spend on education.
The numbers break down as shown in Table 22P-1. According to the median-
voter theorem, how much will the town spend on education? [LO 22.1]
Answer: The median-voter theorem states that the policy position of the
2. A football team is voting for a captain based on how many times the
captain would have the team practice per week. Table 22P-2 below shows the
number of team members in favor of various numbers of practices per week.
[LO 22.1]
a. If the team is choosing between three captains—Buck, Jim, and Brian—can
we use the median-voter theorem?
b. Assume that at the last minute, Buck decides to withdraw from the race.
Can we use the median-voter theorem for the race as it stands now?
c. If you can use the median-voter theorem to predict the result without
Buck, how many times will the team practice? If you cannot use the theorem,
what two answers can you rule out?
d. Assume that two more players join the team before the vote. They both
prefer to practice 10 times a week. If you can use the median-voter theorem
to predict the result without Buck, how many times will the team practice? If
you cannot use the theorem, what two answers can you rule out?
Answer: The median-voter theorem suggests that politicians maximize
their votes by taking the policy position preferred by the median voter,
under certain conditions. The conditions are: there is a single, one-
dimensional policy question (such as more or less spending); voters
d. The team will practice 6 times per week.
3. Three friends are trying to decide where to go to dinner. There are four
restaurants nearby: Thai, Italian, Tex-Mex, and sushi. Assume the friends
have the following preferences: [LO 22.2] Gabe: Thai > Italian > Sushi >
Tex-Mex
Arnold: Italian > Tex-Mex > Sushi > Thai
Julie: Sushi > Tex-Mex > Thai > Italian
a. The friends decide to hold a majority vote that pits the Thai place against
the Italian; the winner of that vote against the Tex-Mex; and then the next
winner against the sushi. Which restaurant do they end up going to?
22-9
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