Mathematics 210G Assignment 6: Voting Systems

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Mathematics 210G
Assignment 6: Voting Systems
An election is held to elect the various member of the three stooges. Voters rank the
three candidates. The outcome of the ballot is given below. As Moe gets 45%, Curly 44%,
and Larry 11%, Moe would win with plurality voting.
Rank
22%
23%
15%
29%
7%
First
Moe
Moe
Curly Curly Larry
Second Curly Larry Moe
Larry Curly
Third
Larry Curly Larry Moe
Moe
4%
Larry
Moe
Curly
1. Compute the number of points each candidate gets with the Borda count. Who wins
the election with the Borda count?
2. Describe which candidates are eliminated, and in which order, with the Hare system.
Who wins the election with the Hare method?
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