Mathematics of Social Choice: Voting, Compensation, and DivisionSIAM, 2010. jan. 1. - 256 oldal 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. |
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Más kiadások - Összes megtekintése
Mathematics of Social Choice: Voting, Compensation, and Division Christoph Borgers Korlátozott előnézet - 2010 |
Gyakori szavak és kifejezések
arrangement assigned assume ballot beatpath method beats bidder Borda count boys cake called Chapter chocolate choose Condorcet candidate considers course criterion Definition denote divider division dominating set entire envy-free equal equitable example Exercise Explain eyes fact fair share four fraction girls give given half head-to-head competition holds homogeneous instance John least Lemma losing majority margin marriage mathematical means monotonic namely object pairwise comparison graph Pareto-optimal payout person piece plurality method points possible preference schedule priori Smith-fair problem Proof Proposition prove ranking method reasonable receives recursive remaining removed represents result rhubarb round runoff satisfies second component shows side Smith set spoiler statement strawberry strength Suppose theorem third true turn unanimity criterion violates voters votes winner selection method wins worth