Definite Majority Choice: Difference between revisions

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(→‎Procedure 2, [[Range voting]]: Change to 0-99 rating from 0-100. It's easier to implement.)
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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.
[[Approval cutoff]] may be deemed too complicated for the voter to understand. An alternative is to use [[Range voting]] to resolve cycles.
# 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.
# Ordinal (rank) information is inferred from the candidate rating plus additional ranking. For example, candidates might be rated from 0 to 100, with 100 most favored. An additional decimal point rating, from .00 to .99 would be counted to determine separate candidate ranks but would not be counted as part of the candidate rating.
# 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. Because a voter may wish to give two candidates the same rating but rank them differently, an additional decimal point rating from 0.0 to 0.9 (or 0.00 to 0.99) would be allowed. It would be used for rank only, and would be truncated before adding the candidate's rating to the total rating score.
# 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.
# 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.
# 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.


Quick example: A:100.9 , B:100.8, C:50, D:25, E:25 would be counted as
Quick example: A:99.9 , B:99.8, C:50, D:25, E:25 would be counted as
A>B>C>D=E
A>B>C>D=E
{| border="1"
{| border="1"
! !! A !! B !! C !! D !! E !! F
! !! A !! B !! C !! D !! E !! F
|-
|-
! A || 100 || 1 || 1 || 1 || 1 || 1
! A || 99 || 1 || 1 || 1 || 1 || 1
|-
|-
! B || 0 || 100 || 1 || 1 || 1 || 1
! B || 0 || 99 || 1 || 1 || 1 || 1
|-
|-
! C || 0 || 0 || 050 || 1 || 1 || 1
! C || 0 || 0 || 050 || 1 || 1 || 1
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