 
Summary: Section 7.1: Voting Systems
· Plurality Method
The candidate who receives the greatest number of votes is the winner.
· Borda Count Method
Each voter's last choice receives one point, each voter's secondtolast choice
receives two points, and so on. The candidate with the most points is the
winner.
· Plurality with Elimination Method
We use a runoff election. In any given round, if a candidate wins a majority of
the votes, they are the winner. Otherwise, the candidate (or candidates) with
the fewest number of votes is (are) eliminated.
· Pairwise Comparison Method
If Candidate X is preferred to Candidate Y by most voters, X gets one point.
If they tie, they each get 1
2
point. The candidate with the most points is the
winner.
1. A club is preparing to elect its president. Three members are considering run
ning for president: Alice, Bob, and Charles. Each of the five voters has a first,
second, and third choice, as listed in the following table:
