Detailed Explanation for Condorcet Method 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 |
Let's first start with Killians. Here are the results of comparing
Killians against every other beer:
Killians
| Ratio of Killians supporters | Winner |
Molson | 37 / 18 | Killians |
Samuel Adams | 26 / 29 | Samuel Adams |
Guinness | 16 / 39 | Guinness |
Meister Brau | 22 / 33 | Meister Brau |
37 / 18 means that 37 people prefer Killians over Molson. Killians only wins one of the four pairings, and is therefore not the
winner. Now let's look at Molson:
Molson
| Ratio of Molson supporters | Winner |
Killians | 18 / 37 | Killians |
Samuel Adams | 18 / 37 | Samuel Adams |
Guinness | 18 / 37 | Guinness |
Meister Brau | 18 / 37 | Meister Brau |
Molson doesn't win any pairings; clearly it is not the winner.
Comparing Samuel Adams with every other beer yields the following
results:
Samuel Adams
| Ratio of Samuel Adams supporters | Winner |
Killians | 29 / 26 | Samuel Adams |
Molson | 37 / 18 | Samuel Adams |
Guinness | 43 / 12 | Samuel Adams |
Meister Brau | 27 / 28 | Meister Brau |
Samuel Adams lost when compared with Meister Brau, and therefore does
not win. Next we look at Guinness:
Guinness
| Ratio of Guinness supporters | Winner |
Killians | 39 / 16 | Guinness |
Molson | 37 / 18 | Guinness |
Samuel Adams | 12 / 43 | Samuel Adams |
Meister Brau | 19 / 36 | Meister Brau |
Guinness only wins half of the time; it is not the winner.
Finally, we compare Meister Brau against every other beer. Here are
the results:
Meister Brau
| Ratio of Meister Brau supporters | Winner |
Killians | 33 / 22 | Meister Brau |
Molson | 37 / 18 | Meister Brau |
Samuel Adams | 28 / 27 | Meister Brau |
Guinness | 36 / 19 | Meister Brau |
Meister Brau wins every match-up. Therefore, it is the overall
winner.
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