Magical Mathematical Connections with the Borda Voting Method

We examine the Borda voting method, which has numerous interesting mathematical properties. We determine when a candidate can win a Borda election with all \(i\)th place votes and present a method of constructing ballots that yield such a victory. Then we present a connection between Borda elections and semi-magic squares. We show how a Borda election result gives rise to a semi-magic square, and we show that given any semi-magic square there exists at least one Borda election result corresponding to it.