Date of Submission
Spring 2019
Academic Programs and Concentrations
Mathematics
Project Advisor 1
John Cullinan
Abstract/Artist's Statement
When running an election with more than two candidates, there are many ways to choose the winner. A famous theorem of Arrow states that the only mathematically fair way to choose is to do so at random. Because this is not a desirable way to choose a winner of an election, many mathematicians have devised alternate ways of aggregating ballots. In my project I consider one of these ways -- the Borda Count, considered to be one of the most desirable from both the point of view of mathematics and economics -- and came up with a method to test the mathematical fairness of an arbitrary voting system against the known fairness of the Borda Count.
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 4.0 License.
Recommended Citation
Waring, Jade Monroe, "A Strength Test for the Borda Count" (2019). Senior Projects Spring 2019. 122.
https://digitalcommons.bard.edu/senproj_s2019/122
This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.
