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The Resource Mathematics of social choice : voting, compensation, and division, Christoph Börgers, (electronic resource)

Mathematics of social choice : voting, compensation, and division, Christoph Börgers, (electronic resource)

Label
Mathematics of social choice : voting, compensation, and division
Title
Mathematics of social choice
Title remainder
voting, compensation, and division
Statement of responsibility
Christoph Börgers
Creator
Contributor
Subject
Language
eng
Summary
Mathematics of Social Choice is a fun and accessible book that looks at the choices made by groups of people with different preferences, needs, and interests. Divided into three parts, the text first examines voting methods for selecting or ranking candidates. A brief second part addresses compensation problems wherein an indivisible item must be assigned to one of several people who are equally entitled to ownership of the item, with monetary compensation paid to the others. The third part discusses the problem of sharing a divisible resource among several people. Mathematics of Social Choice can be used by undergraduates studying mathematics and students whose only mathematical background is elementary algebra. More advanced material can be skipped without any loss of continuity. The book can also serve as an easy introduction to topics such as the Gibbard-Satterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background
Additional physical form
Also available in print version.
Cataloging source
CaBNVSL
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
dictionaries
Target audience
  • adult
  • specialized
Mathematics of social choice : voting, compensation, and division, Christoph Börgers, (electronic resource)
Label
Mathematics of social choice : voting, compensation, and division, Christoph Börgers, (electronic resource)
Link
http://libproxy.rpi.edu/login?url=http://epubs.siam.org/ebooks/siam/other_titles_in_applied_mathematics/ot119
Publication
Note
Includes index
Related Contributor
Related Location
Related Agents
Related Authorities
Related Subjects
Color
black and white
Contents
  • Pt. I. Voting. 1. Winner selection -- 2. Rule of the majority -- 3. Election spoilers -- 4. The Smith set -- 5. Smith-fairness and the no-weak-spoiler criterion -- 6. Schulze's beatpath method -- 7. Monotonicity -- 8. Elections with many or few voters -- 9. Irrelevant comparisons and the Muller-Satterthwaite theorem -- 10. Strategic voting and the Gibbard-Satterthwaite theorem -- 11. Winner selection versus ranking -- 12. Irrelevant alternatives and Arrow's theorem
  • Pt. II. Compensation. 13. Fairness and envy-freeness -- 14. Pareto-optimability and equitability -- 15. Equality, equitability and Knaster's procedure
  • Pt. III. Division. 16. Envy-free, Pareto-optimal, and equitable cake cutting -- 17. "I cut, you choose" for three : Steinhaus' method -- 18. Hall's marriage theorem -- 19. "I cut, you choose" for more than three : Kuhn's methods -- 20. The method of Selfridge and Conway -- 21. The geometry of Pareto-optimal division between two people -- 22. The adjusted winner method of Brams and Taylor -- 23. Conflict resolution using the adjusted winner method -- 25. Proportional allocation -- 26. Dividing a piecewise homogeneous cake among N>2 people
  • pt. IV. Appendices: A. Sets -- B. Logic -- C. Mathematical induction -- D. Solutions to selected exercises
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9780898717624&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b3128717'}
Extent
1 electronic text (xi, 245 p.)
File format
multiple file formats
Form of item
online
Governing access note
Restricted to subscribers or individual electronic text purchasers
Isbn
9780898717624
Isbn Type
(electronic bk.)
Other physical details
ill., digital file.
Reformatting quality
access
Specific material designation
remote
System details
  • Mode of access: World Wide Web
  • System requirements: Adobe Acrobat Reader

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