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Mathematics of Social Choice
monograph
Author(s):
Christoph Börgers
Publication date
(Online):
May 25 2012
Publisher:
Society for Industrial and Applied Mathematics
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Author and book information
Book
ISBN (Print):
978-0-89871-695-5
ISBN (Electronic):
978-0-89871-762-4
Publication date (Print):
January 2010
Publication date (Online):
May 25 2012
DOI:
10.1137/1.9780898717624
SO-VID:
d2034c21-d740-4603-9958-e763069f6fa0
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Book chapters
pp. 3
1. Winner Selection
pp. 11
2. Rule of the Majority
pp. 17
3. Election Spoilers
pp. 23
4. The Smith Set
pp. 31
5. Smith-Fairness and the No-Weak-Spoiler Criterion
pp. 37
6. Schulze's Beatpath Method
pp. 43
7. Monotonicity
pp. 55
8. Elections with Many or Few Voters
pp. 61
9. Irrelevant Comparisons and the Muller—Satterthwaite Theorem
pp. 71
10. Strategic Voting and the Gibbard—Satterthwaite Theorem
pp. 75
11. Winner Selection versus Ranking
pp. 83
12. Irrelevant Alternatives and Arrow's Theorem
pp. 95
13. Fairness and Envy-Freeness
pp. 105
14. Pareto-Optimality and Equitability
pp. 113
15. Equality, Equitability, and Knaster's Procedure
pp. 121
16. Envy-Free, Pareto-Optimal, and Equitable Cake Cutting
pp. 129
17. “I Cut, You Choose” for Three: Steinhaus's Method
pp. 133
18. Hall's Marriage Theorem
pp. 139
19. “I Cut, You Choose” for More Than Three: Kuhn's Method
pp. 143
20. The Method of Selfridge and Conway
pp. 149
21. The Geometry of Pareto-Optimal Division between Two People
pp. 157
22. The Adjusted Winner Method of Brams and Taylor
pp. 165
23. Conflict Resolution Using the Adjusted Winner Method
pp. 169
24. The Effect of Dishonesty on the Adjusted Winner Method
pp. 175
25. Proportional Allocation
pp. 181
26. Dividing a Piecewise Homogeneous Cake among N>2 People
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