Social Choice and the Mathematics of Manipulationby Alan D. Taylor
Pub. Date: 05/31/2005
Publisher: Cambridge University Press
Honesty in voting is not always the best policy. This is a book for mathematicians, political scientists, economists and philosophers who want to understand how it is impossible to devise a reasonable voting system in which voters can never gain by submitting a disingenuous ballot. The book requires no prerequisites except a willingness to follow rigorous mathematical arguments.
Table of Contents1. Introduction; 2. The Gibbard–Satterthwaite theorem; 3. Additional results for single-valued elections; 4. The Duggan–Schwartz theorem; 5. Additional results for multi-valued elections; 6. Ballots that rank sets; 7. Elections with outcomes that are lotteries; 8. Elections with variable agendas; References; Index.
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