<p>The results for the multi-winner voting system poll are in. Only 15
people voted, but the results are interesting nonetheless. The votes
were counted using instant runoff voting, Condorcet, and the Borda
count.
</p><h2>Instant Runoff Voting</h2>
<p>Not surprisingly, Meek STV was the runaway winner, and WIGM
STV was a solid second place. I do find it interesting that some people
prefer WIGM STV to Meek STV. Meek is clearly better than WIGM in terms
of the quality of the proportional representation, but apparently some
people find the simplicity of WIGM more important.
</p><p>Open list PR was in third although the one voter for closed list
PR had Meek as the next choice. Because of the small number of voters
we can't read much into this though.
</p><h2>Condorcet</h2>
<p>All three STV candidates did well as did open list PR. I find
it surprising that cumulative voting and limited voting did so poorly
since these two methods provide reasonable proportional representation
and are also very easy to count. Approval voting did not do well,
likely because it does not provide good proportional representation.
Plurality at-large voting was last on every ballot except that it beat
mixed member on one ballot.
</p><h2>Borda Count</h2>
<p>The three STV candidates again did very well as well as open
list PR. I'm surprised that open list PR did so much better than closed
list PR as I don't find the differences between the two that
significant.
</p><h2>Summary</h2>
<p>This was a more difficult poll to run since there are many
factors to consider in selecting a multi-winner voting system and any
particular system may be good in some situations but not in others. I
personally believe that STV, and especially Meek STV, is a good choice
in many situations, and many others seem to agree.
</p><p>Thank you for participating in these polls, and feel free to do
your own polls at <a href="http://opavote.org">opavote.org</a> or to contact me with suggestions for
future polls.
</p><hr><pre>Counting votes using Instant Runoff Voting.
R|Open l|Closed|Mixed |Cumula|Limite|Plural|Meek S|WIGM S|Other |Approv|Exhaus
|ist PR| list |member|tive v|d voti|ity at|TV |TV (eg|STV |al vot|ted
| |PR | PR |oting |ng |-large| |, Scot| |ing |
| | | | | | votin| |tish S| | |
| | | | | |g | |TV) | | |
===============================================================================
1| 1| 1| 1| 1| 0| 0| 6| 3| 1| 1| 0
|----------------------------------------------------------------------------
| Count of first choices.
===============================================================================
2| 1| 1| 1| 1| | | 6| 3| 1| 1| 0
|----------------------------------------------------------------------------
| Count after eliminating Limited voting and Plurality at-large voting and
| transferring votes. Since this is the first elimination round, all
| candidates without any votes are eliminated.
===============================================================================
3| 2| 1| | 1| | | 6| 3| 1| 1| 0
|----------------------------------------------------------------------------
| Count after eliminating Mixed member PR and transferring votes. Candidates
| Open list PR, Closed list PR, Mixed member PR, Cumulative voting, Other
| STV, and Approval voting were tied when choosing candidates to eliminate.
| Candidate Mixed member PR was chosen by breaking the tie randomly.
===============================================================================
4| 2| 1| | 1| | | 7| 3| | 1| 0
|----------------------------------------------------------------------------
| Count after eliminating Other STV and transferring votes. Candidates Closed
| list PR, Cumulative voting, Other STV, and Approval voting were tied when
| choosing candidates to eliminate. Candidate Other STV was chosen by
| breaking the tie randomly.
===============================================================================
5| 2| 1| | 1| | | 7| 3| | | 1
|----------------------------------------------------------------------------
| Count after eliminating Approval voting and transferring votes. Candidates
| Closed list PR, Cumulative voting, and Approval voting were tied when
| choosing candidates to eliminate. Candidate Approval voting was chosen by
| breaking the tie randomly.
===============================================================================
6| 2| | | 1| | | 8| 3| | | 1
|----------------------------------------------------------------------------
| Count after eliminating Closed list PR and transferring votes. Candidates
| Closed list PR and Cumulative voting were tied when choosing candidates to
| eliminate. Candidate Closed list PR was chosen by breaking the tie
| randomly.
===============================================================================
7| 2| | | | | | 8| 3| | | 2
|----------------------------------------------------------------------------
| Count after eliminating Cumulative voting and transferring votes.
===============================================================================
8| | | | | | | 9| 3| | | 3
|----------------------------------------------------------------------------
| Count after eliminating Open list PR and transferring votes. Candidate Meek
| STV is elected.
Winner is Meek STV.
</pre><hr><pre>Counting votes using Condorcet Voting.
Pairwise Comparison Matrix:
|Open|Clos|Mixe|Cumu|Limi|Plur|Meek|WIGM|Othe|Appr
----+----+----+----+----+----+----+----+----+----+----
Open| 0| 12| 10| 13| 12| 13| 3| 4| 5| 13
Clos| 1| 0| 3| 9| 8| 10| 3| 2| 2| 8
Mixe| 4| 9| 0| 9| 9| 11| 3| 2| 2| 10
Cumu| 1| 2| 3| 0| 8| 10| 1| 1| 1| 8
Limi| 1| 2| 3| 2| 0| 9| 0| 0| 0| 4
Plur| 0| 0| 1| 0| 0| 0| 0| 0| 0| 0
Meek| 10| 9| 10| 11| 11| 11| 0| 9| 8| 11
WIGM| 9| 10| 11| 12| 12| 12| 3| 0| 8| 12
Othe| 8| 10| 11| 12| 12| 12| 4| 4| 0| 12
Appr| 2| 4| 3| 3| 7| 9| 2| 2| 2| 0
Smith Set: Meek STV
No completion necessary since the Smith set has just one candidate.
Winner is Meek STV.
</pre><hr><pre>Counting votes using Approval Voting.
Candidate | Count
===================================
Open list PR | 13
Closed list PR | 10
Mixed member PR | 12
Cumulative voting | 10
Limited voting | 9
Plurality at-large voting | 6
Meek STV | 11
WIGM STV (eg, Scottish STV) | 12
Other STV | 12
Approval voting | 9
Exhausted | 0
Count of all approvals.
Winner is Open list PR.
</pre><hr><pre>Counting votes using Borda Count.
Candidate | Count
===================================
Open list PR | 85
Closed list PR | 46
Mixed member PR | 59
Cumulative voting | 35
Limited voting | 21
Plurality at-large voting | 1
Meek STV | 90
WIGM STV (eg, Scottish STV) | 89
Other STV | 85
Approval voting | 34
Exhausted | 130
Borda count totals.
Winner is Meek STV.
</pre><br clear="all">_________________________________________________________<br>OpenSTV -- Software for counting STV and ranked-choice voting<br>OpaVote -- Online elections for ranked-choice voting<br><a href="http://www.OpenSTV.org" target="_blank">http://www.OpenSTV.org</a><br>
<a href="http://www.OpaVote.org" target="_blank">http://www.OpaVote.org</a><br><br>