Definite Majority Choice: Difference between revisions
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This ballot could be summarized briefly using the notation
X2 > X4 >> X1 > X3
where the ">>" indicates the approval cutoff --- candidates to the right of that sign receive no approval votes. This ballot is counted as
X2 > X4
X2 > X1
X2 > X3
X2 > X2 (approval point)
X4 > X1
X4 > X3
X4 > X4 (approval point)
X1 > X3
=== Tallying Votes ===▼
And the following votes would be entered into the pairwise array:▼
As in other [[Condorcet method]]s, the rankings on a single ballot are added into a round-robin table using the standard [[Condorcet_method#Counting_with_matrices|Condorcet pairwise matrix]]: when a ballot ranks / grades one candidate higher than another, it means the higher-ranked candidate receives one vote in the head-to-head contest against the other.▼
Since the diagonal cells in the Condorcet pairwise matrix are usually left blank, those locations can be used to store each candidate's Approval point score.▼
For example, the single example ballot above,
X2 > X4 >> X1 > X3
{| border="1"
! !! X1 !! X2 !! X3 !! X4
Line 80 ⟶ 96:
! X4 || 1 || 0 || 1 || 1
|}
▲=== Tallying Votes ===
▲As in other [[Condorcet method]]s, the rankings on a single ballot are added into a round-robin table using the standard [[Condorcet_method#Counting_with_matrices|Condorcet pairwise matrix]]: when a ballot ranks / grades one candidate higher than another, it means the higher-ranked candidate receives one vote in the head-to-head contest against the other.
▲Since the diagonal cells in the Condorcet pairwise matrix are usually left blank, those locations can be used to store each candidate's Approval point score.
We call a candidate [[Techniques_of_method_design#Defeats_and_defeat_strength|definitively defeated]] when that candidate is defeated in a head-to-head contest against any other candidate with higher Approval score. This kind of defeat is also called an ''Approval-consistent defeat''.
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