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The Mathematics of Voting and Elections: A Hands-On Approach
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 ...more
Paperback, 226 pages
Published July 1st 2005 by American Mathematical Society(RI)
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This is a nicely-done text on voting theory, at let's say a freshman or sophomore level, suitable for independent study (as well as classroom use). A large part of Voting theory deals with the paradoxes that arise when there are more than two candidates in an election. A variety of systems have been proposed to deal with what is known as Condorcet's Paradox, which is that even though voter preferences may be well-behaved on the individual level, you can still end up with situations where on the ...more