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Social Choice and the Mathematics of Manipulation (Electronic book text)
Social Choice and the Mathematics of Manipulation (Electronic book text): Alan D. Taylor
Social Choice and the Mathematics of Manipulation (Electronic book text): Alan D. Taylor

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Social Choice and the Mathematics of Manipulation (Electronic book text)

Alan D. Taylor

Series: Outlooks

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Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.

General

Imprint: Cambridge University Press (Virtual Publishing)
Country of origin: United Kingdom
Series: Outlooks
Authors: Alan D. Taylor
Format: Electronic book text
ISBN-13: 978-0-511-12351-1
Barcode: 9780511123511
Categories: Promotions
Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
LSN: 0-511-12351-5

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