Mathematics of Social Choice

Mathematics of Social Choice
Author :
Publisher : SIAM
Total Pages : 233
Release :
ISBN-10 : 9780898717624
ISBN-13 : 0898717620
Rating : 4/5 (620 Downloads)

Book Synopsis Mathematics of Social Choice by : Christoph Borgers

Download or read book Mathematics of Social Choice written by Christoph Borgers and published by SIAM. This book was released on 2010-01-01 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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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The literature on the theory of social choice has grown considerably beyond the few items in existence at the time the first edition of this book appeared in 19