The Mathematics of Elections and Voting (Paperback, 2014 ed.)

This title takes an in-depth look at the mathematics in the context of voting and electoral systems, with focus on simple ballots, complex elections, fairness, approval voting, ties, fair and unfair voting, and manipulation techniques. The exposition opens with a sketch of the mathematics behind the various methods used in conducting elections. The reader is lead to a comprehensive picture of the theoretical background of mathematics and elections through an analysis of Condorcet's Principle and Arrow's Theorem of conditions in electoral fairness. Further detailed discussion of various related topics include: methods of manipulating the outcome of an election, amendments, and voting on small committees.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.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Release date:	October 2014
First published:	2014
Authors:	W.D. Wallis
Dimensions:	235 x 155 x 10mm (L x W x T)
Format:	Paperback
Pages:	96
Edition:	2014 ed.
ISBN-13:	978-3-319-09809-8
Categories:	Books > Science & Mathematics > Mathematics > Probability & statistics Books > Social sciences > Politics & government > Political structure & processes > Elections & referenda Books > Science & Mathematics > Mathematics > Optimization > Game theory Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematical modelling
LSN:	3-319-09809-8
Barcode:	9783319098098

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