Authors:
Contains exercises and could be used as a text for a special topics course
Discuss majority and plurality voting, runoff elections and the Hare method
Looks at elections where points are allocated to the candidates and the high scorer wins
Includes supplementary material: sn.pub/extras
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
In recent years, electoral theory has been introduced into lower-level mathematics courses, as a way to illustrate the role of mathematics in our everyday life. Few books have studied voting and elections from a more formal mathematical viewpoint. This text will be useful to those who teach lower level courses or special topics courses and aims to inspire students to understand the more advanced mathematics of the topic. The exercises in this text are ideal for upper undergraduate and early graduate students, as well as those with a keen interest in the mathematics behind voting and elections.
Keywords
- Arrow’s Theorem
- Condorcet’s principle
- Elections
- majority rule
- plurality voting
- voting fairness
Reviews
From the book reviews:
“This concise volume is an introduction to various voting schemes and electoral systems. … the book gives a good picture of the range of voting systems that exist and some of the reasons they are used in certain situations. It is most suitable for undergraduates with some knowledge of combinatorics and proof, who are beginning to study elections and voting.” (Matthew Davis, zbMATH, Vol. 1305, 2015)
Authors and Affiliations
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Department of Mathematics, Southern Illinois University, Evansville, USA
W.D. Wallis
About the author
Bibliographic Information
Book Title: The Mathematics of Elections and Voting
Authors: W.D. Wallis
DOI: https://doi.org/10.1007/978-3-319-09810-4
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2014
Softcover ISBN: 978-3-319-09809-8Published: 24 October 2014
eBook ISBN: 978-3-319-09810-4Published: 08 October 2014
Edition Number: 1
Number of Pages: X, 96
Topics: Probability Theory, International Political Economy’, Population Economics, Game Theory, Political Theory, Mathematical Modeling and Industrial Mathematics