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Preface; Part 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; Part II. Compensation: 13. Fairness and envy-freeness; 14. Pareto-optimability and equitability; 15. Equality, equitability and Knaster's procedure; Part 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; Part IV: Appendices: A. Sets; B. Logic; C. Mathematical induction; D. Solutions to selected exercises; Index.
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Add Mathematics of Social Choice: Voting, Compensation, and Division, 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 candid, Mathematics of Social Choice: Voting, Compensation, and Division to the inventory that you are selling on WonderClubX
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Add Mathematics of Social Choice: Voting, Compensation, and Division, 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 candid, Mathematics of Social Choice: Voting, Compensation, and Division to your collection on WonderClub |