Thinking Mathematically (6th Edition)

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

Chapter 13 - Voting and Apportionment - Chapter Summary, Review, and Test - Review Exercises - Page 889: 44


The statement is false.

Work Step by Step

The statement is false. According to Arrow's theorem, it is not possible for a democratic voting system to satisfy each of the fairness criteria. According to Balinski and Young's Impossibility Theorem, there is no solution to the apportionment problem that satisfies the quota rule and also does not allow any paradoxes to occur.
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