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Detailed Explanation for Plurality with Runoff Example
| | group of 18 | group of 12 | group of 10 | group of 9 | group of 4 | group of 2 |
| Killians | 5 | 1 | 2 | 4 | 2 | 4 |
| Molson | 1 | 5 | 5 | 5 | 5 | 5 |
| Samuel Adams | 2 | 3 | 4 | 1 | 3 | 3 |
| Guinness | 4 | 4 | 1 | 2 | 4 | 2 |
| Meister Brau | 3 | 2 | 3 | 3 | 1 | 1 |
Using the methods from the previous section, we find that Molson
received the most first-place votes (18), while Killians received the
second most (12). We now only consider these two beers. Starting with
the first column, 18 voters preferred Molson to Killians, so Molson
gets rank 1 and Killians gets rank 2. The next 12 voters preferred
Killians to Molson, so Killians gets rank 1 and Molson gets rank 2. If
we continue this process with the remaining columns, the following
runoff preference schedule is generated:
| | 18 | 12 | 10 | 9 | 4 | 2 |
| Killians | 2 | 1 | 1 | 1 | 1 | 1 |
| Molson | 1 | 2 | 2 | 2 | 2 | 2 |
Adding up all the first-place rankings shows that Killians received 37
first-place votes, while Molson received only 18 first-place
votes. Therefore, Killians is the winner under the plurality with
runoff voting scheme.
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