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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.
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Waring, Jade Monroe, "A Strength Test for the Borda Count" (2019). Senior Projects Spring 2019. 122.