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)
 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 GibbardSatterthwaite theorem, Arrow's theorem, and fair division for readers with more mathematical background
 Language
 eng
 Extent
 1 electronic text (xi, 245 p.)
 Note
 Includes index
 Contents

 Pt. I. Voting. 1. Winner selection  2. Rule of the majority  3. Election spoilers  4. The Smith set  5. Smithfairness and the noweakspoiler criterion  6. Schulze's beatpath method  7. Monotonicity  8. Elections with many or few voters  9. Irrelevant comparisons and the MullerSatterthwaite theorem  10. Strategic voting and the GibbardSatterthwaite theorem  11. Winner selection versus ranking  12. Irrelevant alternatives and Arrow's theorem
 Pt. II. Compensation. 13. Fairness and envyfreeness  14. Paretooptimability and equitability  15. Equality, equitability and Knaster's procedure
 Pt. III. Division. 16. Envyfree, Paretooptimal, 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 Paretooptimal 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
 Isbn
 9780898717624
 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
 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 GibbardSatterthwaite 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
 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
 Note
 Includes index
 Color
 black and white
 Contents

 Pt. I. Voting. 1. Winner selection  2. Rule of the majority  3. Election spoilers  4. The Smith set  5. Smithfairness and the noweakspoiler criterion  6. Schulze's beatpath method  7. Monotonicity  8. Elections with many or few voters  9. Irrelevant comparisons and the MullerSatterthwaite theorem  10. Strategic voting and the GibbardSatterthwaite theorem  11. Winner selection versus ranking  12. Irrelevant alternatives and Arrow's theorem
 Pt. II. Compensation. 13. Fairness and envyfreeness  14. Paretooptimability and equitability  15. Equality, equitability and Knaster's procedure
 Pt. III. Division. 16. Envyfree, Paretooptimal, 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 Paretooptimal 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
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 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
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 Specific material designation
 remote
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/Mathematicsofsocialchoicevoting/ST5BWoowig/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/Mathematicsofsocialchoicevoting/ST5BWoowig/">Mathematics of social choice : voting, compensation, and division, Christoph Börgers, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>