http://faculty.gvsu.edu/hodgejo/

Jonathan K. Hodge

http://www.appstate.edu/~klimare

Richard E. Klima

http://www.ams.org/bookstore?fn=20&arg1=mawrldseries&item=MAWRLD-22

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.

Table of Contents

* What's so good about majority rule?

* Perot, Nader, and other inconveniences

* Back into the ring

* Trouble in democracy

* Explaining the impossible (Proof of Arrow's theorem)

* One person, one vote? (Weighted Voting)

* Calculating corruption (Power Index)

* The ultimate college experience (US President Election)

* Trouble in direct democracy (referendum electron)

* Proportional (mis)representation (Apportionment Method)

* Bibliography

* Index

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