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Book DetailsMathematical WorldVolume: 22; 2005; 226 ppMSC: Primary 91
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.
ReadershipUndergraduates and others interested in the mathematics of decision theory.
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Table of Contents
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Chapters
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1. What’s so good about majority rule?
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2. Perot, Nader, and other inconveniences
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3. Back into the ring
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4. Trouble in democracy
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5. Explaining the impossible
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6. One person, one vote?
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7. Calculating corruption
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8. The ultimate college experience
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9. Trouble in direct democracy
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10. Proportional (mis)representation
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Additional Material
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Reviews
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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
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- Book Details
- Table of Contents
- Additional Material
- Reviews
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.
Undergraduates and others interested in the mathematics of decision theory.
-
Chapters
-
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
-
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