Forest wrote (in part, under "Recent postings"):
> My perspective on single winner methods has moved more and 
> more towards
> the point of view that ranked ballots are costly in terms of voter
> patience (as opposed to the cost of voting machines, ballot counting,
> etc.), and that the best Condorcet methods just barely 
> justify that cost
> in public elections, if at all, and that the other methods 
> based on ranked
> ballots fall far short of justifying that cost, though various ranked
> methods including Borda may have other applications in other venues.

These comments about ranked ballots prompt me to share some results from
an in-progress analysis of the ballots from one of the STV-PR elections
for the Irish Dail in 2002.  Ireland has used STV-PR to elect both
houses of its Parliament since 1920.  In 2002 all-electronic voting was
used in three constituencies (districts) and the full ballot "papers"
have been made available on the web.  So far I have looked at only one
of these datasets, for Meath.

There were 14 candidates for 5 places.  The two largest parties (FF and
FG) both put up 3 candidates. Four smaller parties each put up 1
candidate, and there were 4 non-party candidates.  There were 64,081
valid votes, so we have quite a robust dataset.  There is no restriction
of any kind on the number preferences a voter may mark.

The average number of preferences marked was 4.65.  Every candidate was
marked as every possible preference (1 - 14) by at least some voters.
The smallest group was 46 voters (0.07% of total) for one of the 14th
preferences.  The largest group was 11,534 (18% of total) for one of the
1st preferences.

Number          Percentage
of Prefs                   of
marked          Voters
   1              5%    
   2              7%
   3            33%
   4            19%
   5            13%
   6              8%
   7              4%
   8              2%
   9              1%
 10               1%
 11               1%
 12               1%
 13               1%
 14               4%


There was an interesting difference in behaviour between the
'supporters' of the two parties that both put up 3 candidates.
(Supporter defined here as a voter who gave his or her first preference
to any one of that party's 3 candidates.)  Significantly more of FF's
supporters stopped at 3 preferences than did FG's supporters.  The
balance was made up at 5, 6 and 7 preferences, with a few more at 8, 9
and 10 preferences.

        Number
        of Prefs
        marked  FF      FG
          1     4%      3%
          2     6%      5%
          3     40%     28%
          4     20%     20%
          5     12%     16%
          6     6%      10%
          7     3%      5%
          8     2%      3%
          9     1%      2%
        10      1%      2%
        11      1%      1%
        12      1%      1%
        13      1%      1%
        14      3%      4%

Total number of Supporters:    FF = 28, 786    FG = 17,452
Between them these two parties gained 72% of the first preferences.

It is interesting to see in detail how real voters behave in real
elections.

Of course, the ballots for all the other STV-PR constituencies were
recorded on paper as usual and sorted and counted by hand, as they have
been at every election since 1920!
James

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