The Mathematics of Voting and Elections: A Hands-On Approach
About this Title
Jonathan K. Hodge, Grand Valley State University, Allendale, MI and Richard E. Klima, Appalachian State University, Boone, NC
Publication: Mathematical World
Publication Year 2005: Volume 22
ISBNs: 978-0-8218-3798-6 (print); 978-1-4704-1194-7 (online)
MathSciNet review: MR2139211
MSC: Primary 91B12; Secondary 91-01
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.
… how Jesse “The Body” Ventura was elected governor of Minnesota when most of the state's population preferred either of the other two candidates? And what about the 2000 U.S. presidential election? Should George W. Bush really have won despite receiving more than half a million fewer votes than Al Gore? Is it possible that these elections would have turned out differently had different voting procedures been used?
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.
Undergraduates and others interested in the mathematics of decision theory.
Table of Contents
- 1. What’s so good about majority rule?
- 2. Perot, Nader, and other inconveniences
- 3. Back into the ring
- 4. Trouble in democracy
- 5. Explaining the impossible
- 6. One person, one vote?
- 7. Calculating corruption
- 8. The ultimate college experience
- 9. Trouble in direct democracy
- 10. Proportional (mis)representation