Basic Geometry of Voting

Donald G. Saari

ISBN 10: 3540600647 / ISBN 13: 9783540600640

Published by Springer Berlin Heidelberg Sep 1995, 1995

About this Item

This item is printed on demand - it takes 3-4 days longer - Neuware -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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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. 320 pp. Englisch.

Seller Inventory # 9783540600640

Bibliographic Details

• Title: Basic Geometry of Voting
• Publisher: Springer Berlin Heidelberg Sep 1995
• Publication Date: 1995
• Language: English
• ISBN 10: 3540600647
• ISBN 13: 9783540600640
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 18D millimeters 235 millimeters width by 155 millimeters height by 18 millimeters depth
• Weight: 487 grams

About this title

Synopsis

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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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.

Review

My review of Geometry of Voting was enthusiastic. A last comment: If you have a copy of it, get a copy of Basic Geometry of Voting also; if you haven't, get both. -- Maurice Salles, Mathematical Reviews, issue 98d