Bundle: Principles of Microeconomics, 7th + MindTap Economics, 1 term (6 months) Printed Access Card
7th Edition
ISBN: 9781305135451
Author: N. Gregory Mankiw
Publisher: Cengage Learning
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Chapter 22, Problem 5CQQ
To determine
The application ofMedian voter theorem.
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Problem 2. The planning committee for a renewable energy trade show is trying to decide what city to hold their next show in. The votes are shown below.
Numbers of Voters
9
19
11
8
1st choice
Buffalo
Atlanta
Chicago
Buffalo
2nd choice
Atlanta
Buffalo
Buffalo
Chicago
3rd choice
Chicago
Chicago
Atlanta
Atlanta
How many voters voted in this election?
How many votes are needed for a majority? A plurality?
Find the winner under the plurality method.
Find the winner under the Borda Count Method.
Find the winner under the Plurality with Elimination method.
Find the winner under the Pairwise Comparison Voting method.
Ex. 4 Strength Can Be Weakness
A three-person committee has to choose a winner for a prize. After some debate, there
are three candidates still under consideration. Let's call these candidates a, b and c, and
call those committee members 1, 2 and 3. The committee members only care about which
candidate wins the prize, and their preferences as follows: member 1 prefers a to b and
b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The
rules of the competition say that the committee should first apply majority vote (secret
ballot, one member one vote) and the candidate with the most votes wins. If the vote is
tied, that is, the majority rule select a unique winning candidate, then the winner will
be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an
advantage.
(1) Write down the strategic form of this voting game. [You may assign any number
to the payoff of each voter, as long as it is consistent with her preference order.]
(2)…
Ex. 4 Strength Can Be Weakness
A three-person committee has to choose a winner for a prize. After some debate, there
are three candidates still under consideration. Let's call these candidates a, b and c, and
call those committee members 1, 2 and 3. The committee members only care about which
candidate wins the prize, and their preferences as follows: member 1 prefers a to b and
b to c; member 2 prefers c to a and a to b; and member 3 prefers b to c and c to a. The
rules of the competition say that the committee should first apply majority vote (secret
ballot, one member one vote) and the candidate with the most votes wins. If the vote is
tied, that is, the majority rule select a unique winning candidate, then the winner will
be the candidate for whom member 1 voted. Thus, it might seem that member 1 has an
advantage.
(1) Write down the strategic form of this voting game. [You may assign any number
to the payoff of each voter, as long as it is consistent with her preference order.]
(2)…
Chapter 22 Solutions
Bundle: Principles of Microeconomics, 7th + MindTap Economics, 1 term (6 months) Printed Access Card
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