File:Voting_Paradox_example.png
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Summary
DescriptionVoting Paradox example.png |
English: 3 voters (blue circles) and 3 candidates (red circles) in a 2-dimensional political space. The voters prefer candidates closest to themselves, leading to a circular societal preference of A > B > C > A... and no Condorcet winner.
Voter locations:
Candidate locations:
Distances from voters to candidates:
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Date | |||
Source | Own work | ||
Author | Votingstuff | ||
Other versions |
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Score voting
Under Score voting, candidate A would win, as they are the closest to the centroid of voters. For instance, if the largest distance (7.2) is assigned a score of 0, and all voters vote proportionally to that distance on a scale of 0 to 6, the scores would be:
A | B | C | |
1 | 4 | 3 | 1 |
2 | 3 | 4 | 3 |
3 | 3 | 0 | 3 |
Total: | 10 | 7 | 7 |
If instead the voters normalize their votes based on their own maximum and minimum distance, with the middle candidate scored proportionally, the results are:
A | B | C | |
1 | 6 | 3 | 0 |
2 | 0 | 6 | 1 |
3 | 5 | 0 | 6 |
Total: | 11 | 9 | 7 |
Other ways of normalizing the scores also lead to A winning.
Licensing
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Items portrayed in this file
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8 January 2017
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Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 19:11, 4 February 2018 | 942 × 1,017 (43 KB) | Omegatron | cropped | |
18:46, 4 February 2018 | 1,092 × 1,063 (41 KB) | Omegatron | Zoomed in for thumbnails | ||
01:02, 9 January 2017 | 419 × 419 (11 KB) | Votingstuff | User created page with UploadWizard |
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Horizontal resolution | 118.11 dpc |
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Vertical resolution | 118.11 dpc |