Mathematics of Social Choice: Voting, Compensation, and Division - Softcover

Börgers, Christoph

Softcover

ISBN 10: 0898716950 ISBN 13: 9780898716955

Publisher: Society for Industrial and Applied Mathematics, 2010

Synopsis

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.

About this title

Book Description:

Mathematics of Social Choice is a fun and accessible book that takes an entertaining look at the choices made by groups of people with different preferences, needs and interests. It is addressed to undergraduates in subjects other than mathematics, and advanced secondary school students.

About the Author:

Christoph Börgers has been a Professor in the Department of Mathematics at Tufts University since 1994. He has also worked at the University of Michigan and at the IBM T. J. Watson Research Center. He received his PhD from New York University.

About this edition

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 2010
• ISBN 10: 0898716950
• ISBN 13: 9780898716955
• Binding: Paperback
• Number of pages: 184