Smith//Minimax: Difference between revisions
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Example using winning votes: |
Example using winning votes: |
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{{ballots| |
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19 C>A>B>D |
19: C>A>B>D |
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17 D>C>A>B |
17: D>C>A>B |
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17 B>C>A>D |
17: B>C>A>D |
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16 D>B>C>A |
16: D>B>C>A |
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16 A>B>C>D |
16: A>B>C>D |
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15 D>A>B>C |
15: D>A>B>C}} |
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A beats B (67 to 33) beats C (64 to 36) beats A (69 to 31), but all three beat D (all 52 to 48), so the three are in the Smith set. Smith//Minimax first eliminates D, and then C wins for having the fewest winning votes against them in any of their defeats (C was beaten only by someone with 64 winning votes, whereas the others are beaten by 67 and 69 wv respectively). Regular Minimax would elect D for having the weakest defeat here (only 52 wv against them), resulting in a failure of the [[mutual majority criterion]]. |
A beats B (67 to 33) beats C (64 to 36) beats A (69 to 31), but all three beat D (all 52 to 48), so the three are in the Smith set. Smith//Minimax first eliminates D, and then C wins for having the fewest winning votes against them in any of their defeats (C was beaten only by someone with 64 winning votes, whereas the others are beaten by 67 and 69 wv respectively). Regular Minimax would elect D for having the weakest defeat here (only 52 wv against them), resulting in a failure of the [[mutual majority criterion]]. |
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