Basic Geometry of Voting

Basic Geometry of Voting
Author :
Publisher : Springer Science & Business Media
Total Pages : 324
Release :
ISBN-10 : 3540600647
ISBN-13 : 9783540600640
Rating : 4/5 (640 Downloads)

Book Synopsis Basic Geometry of Voting by : Donald G. Saari

Download or read book Basic Geometry of Voting written by Donald G. Saari and published by Springer Science & Business Media. This book was released on 1995-09-18 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Amazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious 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.


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