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 - Page 852: 44


With the pairwise comparison method, each candidate is compared with every other candidate. For each pair of candidates, if one candidate is ranked higher than the other candidate on a majority of ballots, then the higher-ranked candidate receives 1 point. If the two candidates tie, then they each receive 0.5 points. The candidate who receives the most points is declared the winner.

Work Step by Step

It is not possible to use this method without ranking the candidates. Since each pair of candidates is compared based on their rankings by the voters, it is essential that voters rank all the candidates in order to use the pairwise comparison method.
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