Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - 13.1 Voting Methods - Exercise Set 13.1: 51


The statement makes sense.

Work Step by Step

The statement makes sense. Although a candidate has a plurality of the vote and would win an election using the plurality method, it is quite possible that another candidate could win the election if the Borda count method was used. With the plurality method only the first-place votes matter. However, the Borda count method includes the ranking from first-place votes all the way down to last-place votes. To see an example of this, we can refer to exercise 28. Soup A has a plurality of the vote, but soup B is the winner when the Borda count method is used.
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