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date: 09 May 2021

Abstract and Keywords

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

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