Article

A Tool Kit for Voting Theory

Donald G. Saari

in The Oxford Handbook of Political Economy

Published in print June 2008 | ISBN: 9780199548477
Published online September 2009 | | DOI: http://dx.doi.org/10.1093/oxfordhb/9780199548477.003.0022

Series: Oxford Handbooks of Political Science

 A Tool Kit for Voting Theory

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This article lists down some results that can serve as useful tools to analyze actual elections. It first looks at representing profiles, which enumerate the number of voters who have each ranking of the candidates. Procedure line and hulls are used to provide a display of the different outcomes of computing tallies. The article moves on to the ‘axiomatic representations’ of voting rules, and then looks at how the ‘will of the voters’ is determined. Finally, the theorems of Arrow's, Sen's, and Gibbard-Satterthwaite are discussed.

Keywords: analysis tools; representing profiles; procedure line and hulls; computing tallies; axiomatic representations; will of the voters; theorems

Article.  7780 words. 

Subjects: Politics ; Political Economy ; Political Behaviour

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