**Mathematical World**

Volume: 22;
2005;
226 pp;

MSC: Primary 91;

**Electronic ISBN: 978-1-4704-1194-7
Product Code: MAWRLD/22.E**

List Price: $41.00

AMS Member Price: $32.80

MAA Member Price: $36.90

#### Supplemental Materials

# The Mathematics of Voting and Elections: A Hands-On Approach

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*Jonathan K. Hodge; Richard E. Klima*

Now available in Second Edition: MAWRLD/30

Have you ever wondered ... why elections often
produce results that seem to be displeasing to many of the voters
involved? Would you be surprised to learn that a perfectly fair
election can produce an outcome that literally nobody likes? When
voting, we often think about the candidates or proposals in the
election, but we rarely consider the procedures that we use to express
our preferences and arrive at a collective decision.

The Mathematics of Voting and Elections: A Hands-On
Approach will help you discover answers to these and many other
questions. Easily accessible to anyone interested in the subject, the
book requires virtually no prior mathematical experience beyond basic
arithmetic, and includes numerous examples and discussions regarding
actual elections from politics and popular culture. It is recommended
for researchers and advanced undergraduates interested in all areas of
mathematics and is ideal for independent study.

#### Reviews & Endorsements

The book by Hodge and Klima is an excellent entry into this field ... has plenty of material for a one-semester course ... friendly and clear style that students will appreciate ... well-written and well-edited ... Every instructor teaching this subject should consider this as the textbook, and should have this book regardless of what textbook chosen.

-- MAA Reviews

#### Table of Contents

# Table of Contents

## The Mathematics of Voting and Elections: A Hands-On Approach

- Cover Cover11 free
- Title iii4 free
- Copyright iv5 free
- Contents v6 free
- Preface ix10 free
- Acknowledgments xiii14 free
- 1 What's So Good about Majority Rule? 116 free
- 2 Perot, Nader, and Other Inconveniences 1732
- 3 Back into the Ring 3752
- 4 Trouble in Democracy 5974
- 5 Explaining the Impossible 7994
- 6 One Person, One Vote? 103118
- 7 Calculating Corruption 121136
- 8 The Ultimate College Experience 147162
- 9 Trouble in Direct Democracy 169184
- 10 Proportional (Mis) representation 191206
- The U. S. House of Representatives 192207
- Hamilton's Apportionment Method 194209
- Jefferson's Apportionment Method 197212
- Webster's Apportionment Method 202217
- Three Apportionment Paradoxes 204219
- Hill's Apportionment Method 207222
- Another Impossibility Theorem 209224
- Concluding Remarks 210225
- Questions for Further Study 211226
- Answers to Starred Questions 214229

- Bibliography 217232
- Index 221236
- Back Cover Back Cover1242