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: 29

Answer

The statement makes sense.

Work Step by Step

My candidate was favored when compared head-to-head with every other candidate and lost the election. The statement makes sense. If the election uses the pairwise comparison method, then this candidate would win the election. However, there are other voting methods where it is quite possible for a candidate favored in head-to-head comparisons with every other candidate to lose the election. For example, if the plurality method is used, then the candidate receiving the most first-place votes would win even if this candidate was not favored when compared head-to-head with another candidate.
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