Skip to main content
SpringerLink
Log in

Basic Geometry of Voting

  • Book
  • © 1995

Overview

Authors:
  1. Donald G. Saari

    1. Department of Mathematics, Northwestern University, Evaston, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (7 chapters)

  1. Front Matter

    Pages i-xii
    Download chapter PDF

  2. From an Election Fable to Election Procedures

    • Donald G. Saari
    Pages 1-27

  3. Geometry for Positional and Pairwise Voting

    • Donald G. Saari
    Pages 29-44

  4. The Problem with Condorcet

    • Donald G. Saari
    Pages 45-100

  5. Positional Voting and the BC

    • Donald G. Saari
    Pages 101-199

  6. Other Voting Issues

    • Donald G. Saari
    Pages 201-284

  7. Notes

    • Donald G. Saari
    Pages 285-289

  8. References

    • Donald G. Saari
    Pages 291-295

  9. Back Matter

    Pages 297-300
    Download chapter PDF
Back to top

Keywords

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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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

Authors and Affiliations

  • Department of Mathematics, Northwestern University, Evaston, USA

    Donald G. Saari

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation