Basic Geometry of Voting
by Donald G. Saari
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Description
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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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 show more 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. show lessTags
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Author Information
16 Works 160 Members
Donald G. Saari is Distinguished Professor of Mathematics and Economics and Honorary Professor of Logic and Philosophy of Science at the University of California at Irvine
Classifications
- Genres
- Nonfiction, Politics and Government, Business
- DDC/MDS
- 324.01 — Society, government, & culture Political science Politics & Elections
- LCC
- JF1001 .S237 — Political Science Political institutions and public administration Political institutions and public administration General. Comparative government Political rights. Political participation
- BISAC
Statistics
- Members
- 17
- Popularity
- 1,384,510
- Languages
- English
- Media
- Paper, Ebook
- ISBNs
- 3
