Basic Geometry of Voting
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Product Description
Amazingly, the complexities of voting theory can be explained and resolved with comfortable geometry. A geometry which unifies such seemingly disparate topics as manipulation, monotonicity, and even the apportionment issues of the US Supreme Court. Although directed mainly toward students and others wishing to learn about voting, experts will discover here many previously unpublished results. As an example, a new profile decomposition quickly resolves the age-old controversies of Condorcet and Borda, demonstrates that the rankings of pairwise and other methods differ because they rely on different information, casts serious 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.
Product Details
- Amazon Sales Rank: #2055916 in Books
- Published on: 2003-01-29
- Original language: English
- Dimensions: 1.05 pounds
- Binding: Paperback
- 312 pages
Editorial Reviews
Maurice Salles, Mathematical Reviews, issue 98d
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.
