Selected topics in finite mathematics/Approval voting

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[Give a very very brief overview?]

Objectives[edit | edit source]

The goal here is to determine the winner in an individual election based upon who has the most votes.

Details[edit | edit source]

Approval voting is a voting scheme where each voter marks whether or not they approve of each candidate, instead of ranking the candidates. The candidate that has the highest approval is declared the winner.

[Give a prose-explanation approval voting?]

Examples[edit | edit source]

100 people have approval of three candidates as shown below. An "X" means they approve. Who will be elected?

Candidate 1 X X X
Candidate 2 X X X
Candidate 3 X X X
Number of Ballots 40 25 20 15

Candidate 1: 75

Candidate 2: 60

Candidate 3: 85

The majority of the 100 people are satisfied with Candidate 3. Because candidate 3 has the highest approval, they are the winner.

Nonexamples[edit | edit source]

[Give some non-examples of approval voting?]

FAQ[edit | edit source]

Homework[edit | edit source]

Suppose three candidates are in an election. 70% of the population would be satisfied with candidate A, while 60% would be satisfied with candidate B, and 50% would be satisfied with candidate C. Using approval voting, which candidate would win?

Compare approval voting to plurality. What advantages does approval voting have? What disadvantages does approval voting have?

Number of votes  4   3   3 
Consider the approval table above. Who wins, under approval voting?