[EM] 'Shulze (Votes For)' definition?

[Chris Benham]

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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