EAN: 9783319098098

THE MATHEMATICS OF ELECTIONS AND VOTING - WD WA...

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
amore 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.

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