The Geometry of Voting: From Lincoln's Presidential Election to College Football Polls
Kaushik, Vivek; Laskowski, Aubrey; Tan, Yukun; Mengzhou, Tang; Romney, Matthew
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https://hdl.handle.net/2142/90228
Description
Title
The Geometry of Voting: From Lincoln's Presidential Election to College Football Polls
Author(s)
Kaushik, Vivek
Laskowski, Aubrey
Tan, Yukun
Mengzhou, Tang
Romney, Matthew
Contributor(s)
Hildebrand, A.J.
Issue Date
2016
Keyword(s)
Voting Paradoxes
Mathematics of Voting
Data Analysis
Data Simulation
Football Poll
Abstract
How does the winner of an election depend on the voting methods used? In US politics we use a plurality system in which each voter chooses a single candidate, but this is not the only possible method. One example is the Borda Count Method used in college football polls. In this project we explore how the outcome of the 1860 US Presidential election would have changed using other voting methods, following an analysis by Tabarrok and Spector. We performed a similar analysis on the outcomes of recent AP college football polls. Our analysis is based on a geometric approach developed by Saari.
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