Definite Majority Choice: Difference between revisions
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See also [[Proposed Statutory Rules for DMC]]. |
See also [[Proposed Statutory Rules for DMC]]. |
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''Page refactoring in progress. Comments welcome.--[[User:Araucaria|Araucaria]] 11:41, 30 Sep 2005 (PDT)'' |
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From a voter's standpoint, the simplest ballot would use [[Range voting]]. Then the candidates' total score, as a measure of approval, would be used to resolve cycles. |
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== Procedure 1, [[Approval cutoff]] == |
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# Voters cast [[Preferential voting|ranked ballots]], ranking as many candidates as they like. Equal ranking of candidates is allowed. Write-in candidates are allowed. Unranked candidates are allowed. There are sufficient ranks to allow ranking each candidate separately, ranking all candidates approved, or all candidates disapproved. |
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# By default, all ranked candidates are considered [[Approval voting|approved]]. If the voter doesn't approve of some of the ranked candidates, an [[Approval Cutoff|approval cutoff]] can be placed at some rank, indicating that all candidates at that rank and below are disapproved. |
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# Ballots are tabulated into a pairwise array containing results for each head-to-head contest (see [[Definite_Majority_Choice#Tallying_Votes|example]] below). Total approval rating for each candidate is also tabulated. |
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# The winner is the candidate who, when compared with every other (un-dropped) candidate, is preferred over the other candidate. |
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# If no undefeated candidates exist, the least-approved candidate is dropped, and we return to step 4. |
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[[Approval cutoff]] may be deemed too complicated for the voter to understand. An alternative is to use [[Range voting]] to resolve cycles. |
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# Voters cast [[ratings ballot]]s, rating as many candidates as they like. Equal rating and ranking of candidates is allowed. Separate ranking of equally-rated candidates is provided. Write-in candidates are allowed. Unrated candidates are allowed. |
# Voters cast [[ratings ballot]]s, rating as many candidates as they like. Equal rating and ranking of candidates is allowed. Separate ranking of equally-rated candidates is provided. Write-in candidates are allowed. Unrated candidates are allowed. |
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# Ordinal (rank) information is inferred from the candidate rating plus additional ranking. For example, candidates might be rated from 0 to 99, with 99 most favored |
# Ordinal (rank) information is inferred from the candidate rating plus additional ranking. For example, candidates might be rated from 0 to 99, with 99 most favored. |
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# Each ballot's ordinal ranking is tabulated into a pairwise array containing results for each head-to-head contest (see [[Definite_Majority_Choice#Tallying_Votes|example]] below). The total rating for each candidate is also tabulated. |
# Each ballot's ordinal ranking is tabulated into a pairwise array containing results for each head-to-head contest (see [[Definite_Majority_Choice#Tallying_Votes|example]] below). The total rating for each candidate is also tabulated. |
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# The winner is the candidate who, when compared with every other (un-dropped) candidate, is preferred over the other candidate. |
# The winner is the candidate who, when compared with every other (un-dropped) candidate, is preferred over the other candidate. |
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# If no undefeated candidates exist, the candidate with lowest total rating is dropped, and we return to step 4. |
# If no undefeated candidates exist, the candidate with lowest total rating is dropped, and we return to step 4. |
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Quick example: A:99 |
Quick example: A:99 , B:98, C:50, D:25, E:25 would be counted as |
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A>B>C>D=E |
A>B>C>D=E |
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! A || 99 || 1 || 1 || 1 || 1 || 1 |
! A || 99 || 1 || 1 || 1 || 1 || 1 |
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! B || 0 || |
! B || 0 || 98 || 1 || 1 || 1 || 1 |
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! C || 0 || 0 || 50 || 1 || 1 || 1 |
! C || 0 || 0 || 50 || 1 || 1 || 1 |