Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your mobile phone number.

In Stock.
Ships from and sold by Amazon.com. Gift-wrap available.
Basic Geometry of Voting has been added to your Cart
+ $3.99 shipping
Used: Good | Details
Sold by textbooksnow-
Condition: Used: Good
Comment: BOOK CONDITION: Used books will have varying degrees of wear, highlighting, and notations. Access codes & supplemental materials may not be included. Inventory is subject to prior sale. SHIPPING: Only Standard shipping to PO Boxes. We are not able to ship to APO/FPOs or Internationally. Orders are shipped from Illinois.
Have one to sell? Sell on Amazon
Flip to back Flip to front
Listen Playing... Paused   You're listening to a sample of the Audible audio edition.
Learn more
See this image

Basic Geometry of Voting Paperback – October 4, 2013

5.0 out of 5 stars 2 customer reviews

See all 2 formats and editions Hide other formats and editions
New from Used from
"Please retry"
$61.47 $41.41

Trump Revealed: An American Journey of Ambition, Ego, Money, and Power by Michael Kranish
Books by & about Donald Trump
Authoritative, timely, and provocative, this deeply researched biography of Donald Trump provides a complex portrait of the man who—despite broad skepticism—could be the next president of the United States. Learn more | See related books
$89.99 FREE Shipping. In Stock. Ships from and sold by Amazon.com. Gift-wrap available.
click to open popover

Frequently Bought Together

  • Basic Geometry of Voting
  • +
  • Chaotic Elections! A Mathematician Looks at Voting
Total price: $117.99
Buy the selected items together

Editorial Reviews


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

The latest book club pick from Oprah
"The Underground Railroad" by Colson Whitehead is a magnificent novel chronicling a young slave's adventures as she makes a desperate bid for freedom in the antebellum South. See more

Product Details

  • Paperback: 300 pages
  • Publisher: Springer; 1995 edition (October 4, 2013)
  • Language: English
  • ISBN-10: 3540600647
  • ISBN-13: 978-3540600640
  • Product Dimensions: 6.1 x 0.7 x 9.2 inches
  • Shipping Weight: 1.3 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #2,691,814 in Books (See Top 100 in Books)

Customer Reviews

5 star
4 star
3 star
2 star
1 star
See both customer reviews
Share your thoughts with other customers

Top Customer Reviews

Format: Paperback Verified Purchase
This book is the most important work in social choice theory since Arrow's (1963) "Social Choice and Individual Values". Professor Saari (now at UC Irvine) used this book in an advanced graduate course I took in Fall 2000, and he covered nearly the entire book in a ten week course (hint to instructors and students: I would not recommend this suicidal pace, unless your students are very ambitious and/or very bright!)
The goal of the book is ambititous, and yet very simple. One of the biggest difficulties with voting theory and social choice is the "curse of integers or discreteness" - when we consider more than three alternatives, the number of alternative arrangements of voter preferences escalates quickly. This means that the main ideas in voting theory cannot usually be represented or analyzed by drawing a picture or using calculus, unlike most ideas in economics (eg the Edgeworth Box, demand/supply etc).
Saari avoids this problem by working with continuous spaces; he uses the geometry of the unit simplex (a familiar tool for most economics grad students) and the unit cube to analyze and explain just about all of the most important issues and results in social choice theory: cycling, manipulation, voting paradoxes, Arrow's theorem, Sen's theorem, the Gibbard-Satterthwaite theorem, and much, much more.
But the geometric approach is not just a cute pedagogic tool. On the contrary, the methods in this book allow researchers to state and prove new conjectures about voting methods using standard ideas from calculus, linear algebra, and basic high-school geometry; without these tools new results would be nearly impossible to even state, let alone prove.
Read more ›
Comment 20 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
Great book! Interesting new theory developed to visualize voting systems. Can be technical - best used in conjunction with "Chaotic Elections", which is more of an overview. It is nice to see an application of mathematics that doesn't require a huge amount of mathematical training - just some familiarity with vectors and parametrizations of lines and planes. Accessible to many people interested in how math can be used to model voting systems, from high school onwards.
Comment 2 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse

Set up an Amazon Giveaway

Basic Geometry of Voting
Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more about Amazon Giveaway
This item: Basic Geometry of Voting

What Other Items Do Customers Buy After Viewing This Item?