Definite Majority Choice: Difference between revisions

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This ballot could be summarized briefly using the notation

This vote would be counted as

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

⚫

, the following votes would be added into the pairwise array:

{| border="1"

! !! X1 !! X2 !! X3 !! X4

Line 80:

Line 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''.