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: 30

Answer

This statement does not make sense.

Work Step by Step

A candidate won an election and, in a reelection, the only changes were changes that favored the candidate, so I'm certain that this candidate won the reelection. This statement does not make sense. If the election satisfies the irrelevant alternatives criterion, then the candidate that won the initial election would also win the reelection. However, there are some elections which do not satisfy the irrelevant alternatives criterion. In this case, it is possible for the candidate that won the initial election to lose the reelection, even when the only changes were changes that favored that candidate.
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