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Three friends are choosing a TV show to watch. Here are their preferences: a. If the three friends try using a Borda count to make their choice, what would happen? b. Monica suggests a vote by majority rule. She proposes that first they choose between NCIS and Glee, and then they choose between the winner of the first vote and Homeland. If they all vote their preferences honestly, what outcome would occur? c. Should Chandler agree to Monica’s suggestion? What voting system would he prefer? d. Phoebe and Monica convince Chandler to go along with Monica’s proposal. In round one, Chandler dishonestly says he prefers Glee over NCIS . Why might he do this? e.

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Principles of Microeconomics

7th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305156050

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Section
BuyFindarrow_forward

Principles of Microeconomics

7th Edition
N. Gregory Mankiw
Publisher: Cengage Learning
ISBN: 9781305156050
Chapter 22, Problem 7PA
Textbook Problem
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Three friends are choosing a TV show to watch. Here are their preferences:

Chapter 22, Problem 7PA, Three friends are choosing a TV show to watch. Here are their preferences: a. If the three friends

  1. a. If the three friends try using a Borda count to make their choice, what would happen?
  2. b. Monica suggests a vote by majority rule. She proposes that first they choose between NCIS and Glee, and then they choose between the winner of the first vote and Homeland. If they all vote their preferences honestly, what outcome would occur?
  3. c. Should Chandler agree to Monica’s suggestion? What voting system would he prefer?
  4. d. Phoebe and Monica convince Chandler to go along with Monica’s proposal. In round one, Chandler dishonestly says he prefers Glee over NCIS. Why might he do this?
  5. e.

Subpart (a):

To determine
Applying Borda count and Arrow’s impossibility theorem.

Explanation of Solution

By Borda count, for each choice, we could give 1 point for last place, 2 points for second to last, 3 points for third to last, 4 points for fourth to last, and so on...

Subpart (b):

To determine
Applying Borda count and Arrow’s impossibility theorem.

Subpart (c):

To determine
Applying Borda count and Arrow’s impossibility theorem.

Subpart (d):

To determine
Applying Borda count and Arrow’s impossibility theorem.

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