Selected topics in finite mathematics/Approval voting
[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? |
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Solution
[You can add the solution to the problem here!] |
| Compare approval voting to plurality. What advantages does approval voting have? What disadvantages does approval voting have? |
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Solution
[You can add the solution to the problem here!] |
| A | X | X | |
|---|---|---|---|
| B | X | X | |
| C | X | X | |
| D | X | X | |
| Number of votes | 4 | 3 | 3 |
| Consider the approval table above. Who wins, under approval voting? |
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Solution
[You can add the solution to the problem here!] |