User:RalphInOttawa/Standard Vote: Difference between revisions
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If no one has been elected, a pairwise comparison is made of the second and third winners. The second winner will be elected if the third winner can do no better than a tie. Failing all of the above, the third winner is compared pairwise with the first winner. The third winner will be elected if they beat the first winner. Finally, with no one elected, the result is a paradoxical tie between the three runoff winners. One of them will be elected by "random draw". |
If no one has been elected, a pairwise comparison is made of the second and third winners. The second winner will be elected if the third winner can do no better than a tie. Failing all of the above, the third winner is compared pairwise with the first winner. The third winner will be elected if they beat the first winner. Finally, with no one elected, the result is a paradoxical tie between the three runoff winners. One of them will be elected by "random draw". |
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Here's a shared link to the demonstrator (10 candidates, 1-5 picks, 200 voting rows) (you need to be signed on to a Google Account) |
Here's a shared link to the demonstrator (10 candidates, 1-5 picks, 200 voting rows) (you need to be signed on to a Google Account). |
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https://docs.google.com/spreadsheets/d/ |
https://docs.google.com/spreadsheets/d/1UR7yJyN3XYszE0LYRe9J-RE1YbEdOHvuq1X2-LOaEac/edit#gid=664199959 |
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== Tie breakers == |
== Tie breakers == |
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[[Random Voter Hierarchy]] (RVH) is used for each "random draw". Ideally these values are determined at the "instant" the counting begins, giving candidates and voters nothing to apply a strategy to. If two or more candidates have the same rank on any number of ballots, this tie is re-ranked by "random draw" en masse. All votes will fall the same way throughout all elimination rounds in all runoffs (all occurrences of A=B will either all count as A>B or all count as B>A). All ties encountered during elimination rounds will be decided by a different "random draw". This will cause ties between candidates to be decided in the same candidate's favor throughout all elimination rounds. In pairwise ties between runoff winners, the earlier winner's count takes precedence over a subsequent winner's count. In the scenario of the paradoxical tie, the candidate to be elected will be decided by yet another different "random draw". |
[[Random Voter Hierarchy]] (RVH) is used for each "random draw". Ideally these values are determined at the "instant" the counting begins, giving candidates and voters nothing to apply a strategy to. If two or more candidates have the same rank on any number of ballots, this tie is re-ranked by "random draw" en masse. All votes will fall the same way throughout all elimination rounds in all runoffs (all occurrences of A=B will either all count as A>B or all count as B>A). All ties encountered during elimination rounds will be decided by a different "random draw". This will cause ties between candidates to be decided in the same candidate's favor throughout all elimination rounds. In pairwise ties between runoff winners, the earlier winner's count takes precedence over a subsequent winner's count. In the scenario of the paradoxical tie, the candidate to be elected will be decided by yet another different "random draw". |
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