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Basic Geometry of Voting Donald G. Saari Springer-Verlag 300 Pgs.

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Item specifics

Condition
Very Good
A book that has been read but is in excellent condition. No obvious damage to the cover, with the dust jacket included for hard covers. No missing or damaged pages, no creases or tears, and no underlining/highlighting of text or writing in the margins. May be very minimal identifying marks on the inside cover. Very minimal wear and tear. See all condition definitionsopens in a new window or tab
Seller Notes
“Clean, Bright & Tight with pencil underscoring (can be erased) to 10 of 300 pages appearing in ...
Topic
Mathematics
Type
Textbook
Subjects
Mathematics & Sciences
ISBN
9783540600640
Subject Area
Business & Economics, Mathematics, Political Science
Publication Name
Basic Geometry of Voting
Item Length
9.3 in
Publisher
Springer Berlin / Heidelberg
Subject
Political Process / Campaigns & Elections, Geometry / General, Operations Research, Econometrics
Series
Basic Geometry of Voting Ser.
Publication Year
1995
Format
Trade Paperback
Language
English
Item Height
0.3 in
Author
Donald G. Saari
Item Width
6.1 in
Item Weight
35.3 Oz
Number of Pages
Xii, 300 Pages

About this product

Product Information

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 This book is directed toward students and others wishing to learn about voting, experts will discover previously unpublished results.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

Product Identifiers

Publisher
Springer Berlin / Heidelberg
ISBN-10
3540600647
ISBN-13
9783540600640
eBay Product ID (ePID)
689204

Product Key Features

Author
Donald G. Saari
Publication Name
Basic Geometry of Voting
Format
Trade Paperback
Language
English
Subject
Political Process / Campaigns & Elections, Geometry / General, Operations Research, Econometrics
Series
Basic Geometry of Voting Ser.
Publication Year
1995
Type
Textbook
Subject Area
Business & Economics, Mathematics, Political Science
Number of Pages
Xii, 300 Pages

Dimensions

Item Length
9.3 in
Item Height
0.3 in
Item Width
6.1 in
Item Weight
35.3 Oz

Additional Product Features

LCCN
95-031111
Intended Audience
Scholarly & Professional
Series Volume Number
Vol. Xii
Number of Volumes
1 Vol.
Lc Classification Number
T57.6-.97
Volume Number
Vol. Xii
Table of Content
I. From an Election Fable to Election Procedures.- 1.1 An Electoral Fable.- 1.2 The Moral of the Tale.- 1.3 From Aristotle to "Fast Eddie".- 1.4 What Kind of Geometry?.- II. Geometry for Positional And Pairwise Voting.- 2.1 Ranking Regions.- 2.2 Profiles and Election Mappings.- III. The Problem With Condorcet.- 3.1 Why Can't an Organization Be More Like a Person?.- 3.2 Geometry of Pairwise Voting.- 3.3 Black's Single-Peakedness.- 3.4 Arrow's Theorem.- IV. Positional Voting And the BC.- 4.1 Positional Voting Methods.- 4.2 What a Difference a Procedure Makes; Several Different Outcomes.- 4.3 Positional Versus Pairwise Voting.- 4.4 Profile Decomposition.- 4.5 From Aggregating Pairwise Votes to the Borda Count.- 4.6 The Other Positional Voting Methods.- 4.7 Multiple Voting Schemes.- 4.8 Other Election Procedures.- V. Other Voting Issues.- 5.1 Weak Consistency: The Sum of the Parts.- 5.2 From Involvement and Monotonicity to Manipulation.- 5.3 Gibbard-Satterthwaite and Manipulable Procedures.- 5.4 Proportional Representation.- 5.5 House Monotone Methods.- VI. Notes.- VII. References.
Copyright Date
1995
Dewey Decimal
324/.01/516
Dewey Edition
20
Illustrated
Yes

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