Basic Geometry of Voting

  • Donald G. Saari

Table of contents

  1. Front Matter
    Pages i-xii
  2. Donald G. Saari
    Pages 29-44
  3. Donald G. Saari
    Pages 45-100
  4. Donald G. Saari
    Pages 101-199
  5. Donald G. Saari
    Pages 201-284
  6. Donald G. Saari
    Pages 285-289
  7. Donald G. Saari
    Pages 291-295
  8. Back Matter
    Pages 297-300

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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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


Apportionment Methods Election Electoral Entscheidungstheorie Gruppenentscheidung Manipulation Proportional representation Präferenzordnung Social Choice Voting Voting Theory election procedures

Authors and affiliations

  • Donald G. Saari
    • 1
  1. 1.Department of MathematicsNorthwestern UniversityEvastonUSA

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin · Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60064-0
  • Online ISBN 978-3-642-57748-2
  • Buy this book on publisher's site
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