See the result announcement for more context.
The apparent winner of this poll was the set of choices ( 1,2,3,4,5,6,7 ):
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There are 245157 possible sets of 7 choices that can be formed by selecting from the 23 choices. Of these, 8 sets were considered thoroughly, comparing against the 113 nearby (similar) sets that differ in just one choice.
This is the voting preference matrix, reporting maximal valid proportional preferences. Fractional digits indicate nonproportional preferences, which help break ties in proportional preference.
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | ||
---|---|---|---|---|---|---|---|---|---|
1. (1,2,3,4,5,6,7) | - | 0.184 | 0.213 | 57.174 | 58.2 | 74.214 | 179.236 | 201.239 | |
2. (1,2,3,4,5,6,8) | 0.153 | - | 0.209 | 57.192 | 58.195 | 170.213 | 180.237 | 227.241 | |
3. (1,2,3,5,6,7,8) | 0.14 | 0.137 | - | 57.163 | 58.165 | 170.202 | 171.203 | 190.212 | |
4. (1,2,3,4,5,7,8) | 0.132 | 0.145 | 0.19 | - | 0.187 | 0.177 | 179.225 | 198.233 | |
5. (1,2,3,4,6,7,8) | 0.171 | 0.165 | 0.215 | 0.184 | - | 128.204 | 116.236 | 174.231 | |
6. (1,2,4,5,6,7,8) | 0.116 | 0.146 | 0.179 | 0.165 | 0.183 | - | 0.203 | 186.218 | |
7. (1,3,4,5,6,7,8) | 0.142 | 0.129 | 0.177 | 0.151 | 0.13 | 0.185 | - | 140.187 | |
8. (2,3,4,5,6,7,8) | 0.143 | 0.121 | 0.167 | 0.155 | 0.121 | 0.176 | 0.184 | - |
You can compare any two sets of choices. Just enter the numbers of the choices (from 1 to 23) in each set, with the numbers of one set's choices in the left column and the numbers of the other's in the right column.
Strong (proportional) preference: tie, 0 to 0
Weak (nonproportional) preference: 1,2,3,4,5,6,7 is preferred by 213 to 140
Note: Nonproportional preferences are relevant only if there is a tie in proportional preferences.
The following gives the details of how the poll would have resulted if run on single choices, without proportional representation. This hypothetical poll defines the “individual preference order” used above.
Winning choices are shown in bold.
Module for algorithm minimax not valid