Marcus,
I have some questions about your draft (dated 23 June 2009) Shulze method
paper, posted:
http://m-schulze.webhop.net/schulze1.pdf
On page 13 you define some of the ways of measuring defeat strengths,
two of which are "Votes For" and "Votes Against":
<snip>
Example 5 (
then the strength is measured primarily by the absolute number N[e,f] of votes
for candidate e.
(N[e,f],N[f,e]) for (N[g,h],N[h,g]) if and only if at least one of the
following conditions is satisfied:
1. N[e,f] > N[g,h]. 2. N[e,f] = N[g,h] and N[f,e] < N[h,g].
Example 6 (votes against): When the strength of the pairwise defeat ef is
measured by votes against,
then the strength is measured primarily by the absolute number N[f,e] of votes
for candidate f.
(N[e,f],N[f,e]) against (N[g,h],N[h,g]) if and only if at least one of the
following conditions is satisfied:
1. N[f,e] < N[h,g]. 2. N[f,e] = N[h,g] and N[e,f] > N[g,h].
<snip>
I am a little bit confused as to the exact meaning of the phrase "the absolute
number ..of
votes for candidate E".
Does "the number of votes for E" mean 'the number of ballots on which E is
ranked above
at least one other candidate'?
Or does it mean something that can be read purely from the pairwise matrix?
Does it mean 'the sum of all the entries in the pairwise matrix that represent
pairwise votes for E'?
Do the two methods 'Schulze(Votes For)' and 'Shulze(Votes Against)' meet
Independence
of Clones?
I look forward to hearing your clarification.
Chris Benham
votes for): When the strength of the pairwise defeat ef is measured by votes
for,
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