Definite Majority Choice: Difference between revisions

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imported>Araucaria
imported>Araucaria
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X3 | ( ) | ( ) | ( ) | ( ) | ( ) |
X3 | ( ) | ( ) | ( ) | ( ) | ( ) |
| | | | | |
| | | | | |
X3 | ( ) | ( ) | ( ) | ( ) | ( ) |
X4 | ( ) | ( ) | ( ) | ( ) | ( ) |
-------+-------+-------+-------+-------+-------+
-------+-------+-------+-------+-------+-------+
</pre>
</pre>
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# Candidates ranked fourth, fifth and unranked receive no approval points.
# Candidates ranked fourth, fifth and unranked receive no approval points.
# A higher-ranked candidate is given one vote in each of its head-to-head contests with lower-ranked candidates. In particular, all explicitly ranked candidates are given 1 vote in each of their contests with unranked candidates.
# A higher-ranked candidate is given one vote in each of its head-to-head contests with lower-ranked candidates. In particular, all explicitly ranked candidates are given 1 vote in each of their contests with unranked candidates.

As an example, say a voter ranked candidates as follows:
<pre>
+-----------------------+---------------+
|<-- Favorite Least Preferred -->|
+-----------------------+---------------+
|<-- Approved -->| Not Approved |
+-------+-------+-------+-------+-------+
| 1 | 2 | 3 | 4 | 5 |
-------+-------+-------+-------+-------+-------+
X1 | ( ) | ( ) | ( ) | (X) | ( ) |
| | | | | |
X2 | (X) | ( ) | ( ) | ( ) | ( ) |
| | | | | |
X3 | ( ) | ( ) | ( ) | ( ) | (X) |
| | | | | |
X4 | ( ) | (X) | ( ) | ( ) | ( ) |
-------+-------+-------+-------+-------+-------+
</pre>

This vote would be counted as
X2 > X4 >> X1 > X3

And the following votes would be entered into the pairwise array:
{| border="1"
! !! X1 !! X2 !! X3 !! X4
|-
! X1 || 0 || 0 || 1 || 0
|-
! X2 || 1 || 1 || 1 || 1
|-
! X3 || 0 || 0 || 0 || 0
|-
! X4 || 1 || 0 || 1 || 1
|}


=== Tallying Votes ===
=== Tallying Votes ===