**Mathematical World**

Volume: 22;
2005;
226 pp;
Softcover

MSC: Primary 91;

Print ISBN: 978-0-8218-3798-6

Product Code: MAWRLD/22

List Price: $41.00

Individual Member Price: $32.80

Add to Cart (

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

List Price: $41.00

Individual Member Price: $32.80

#### Supplemental Materials

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

Share this page
*Jonathan K. Hodge; Richard E. Klima*

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.

#### Readership

Undergraduates and others interested in the mathematics of decision theory.

#### 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