Social Choice and the Mathematics of Manipulation

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Cambridge University Press, May 9, 2005 - Mathematics - 176 pages
A mathematical look at why it is impossible to devise a completely unmanipulable voting system, first published in 2005.
 

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Contents

An Introduction to Social Choice Theory
3
An Introduction to Manipulability
37
Resolute Voting Rules
60
NonResolute Voting Rules
81
Social Choice Functions
102
Ultrafilters and the Infinite
118
More on Resolute Procedures
133
More on NonResolute Procedures
147
Other ElectionTheoretic Contexts
160
References
167
Index
173
Copyright

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About the author (2005)

Alan D. Taylor is Marie Louise Bailey Professor of Mathematics at Union College.

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