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Basic Geometry of Voting

Basic Geometry of Voting

Paperback

Business GeneralEconomicsGeneral Political Science

ISBN10: 3540600647
ISBN13: 9783540600640
Publisher: Springer
Published: Sep 18 1995
Pages: 300
Weight: 1.05
Height: 0.76 Width: 6.12 Depth: 9.27
Language: English
A surprise is how the complexities of voting theory can be explained and resolved with the comfortable geometry of our three-dimensional world. This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results. As an example, a new profile decomposition quickly resolves two centuries old controversies of Condorcet and Borda, demonstrates, that the rankings of pairwise and other methods differ because they rely on different information, casts series doubt on the reliability of a Condorcet winner as a standard for the field, makes the famous Arrow s Theorem predictable, and simplifies the construction of examples. The geometry unifies seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court.

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General Political Science