Overview
Access this book
Tax calculation will be finalised at checkout
Other ways to access
About this book
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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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.
Similar content being viewed by others
Keywords
Table of contents (7 chapters)
Authors and Affiliations
Bibliographic Information
Book Title: Basic Geometry of Voting
Authors: Donald G. Saari
DOI: https://doi.org/10.1007/978-3-642-57748-2
Publisher: Springer Berlin, Heidelberg
-
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1995
Softcover ISBN: 978-3-540-60064-0Published: 18 September 1995
eBook ISBN: 978-3-642-57748-2Published: 06 December 2012
Edition Number: 1
Number of Pages: XII, 300
Topics: Operations Research/Decision Theory, Economic Theory/Quantitative Economics/Mathematical Methods