Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 13 - Voting and Apportionment - 13.2 Flaws of Voting Methods - Exercise Set 13.2: 28

Answer

The statement makes sense.

Work Step by Step

My candidate received a majority of first-place votes and lost the election. The statement makes sense. If the election uses the plurality method, then a candidate receiving a majority of first-place votes would win the election. However, there are other voting methods where it is quite possible for a candidate receiving a majority of first-place votes to lose the election. For example, if the Borda count method is used, then a candidate receiving many second-place and third-place votes may have more total points than a candidate receiving a majority of first-place votes.
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