[EM] winning votes vs margins...
Elisabeth Varin/Stephane Rouillon
stephane.rouillon at sympatico.ca
Wed Jun 5 15:26:29 PDT 2002
Say that there are N voters. N(a>b) + N(b>a) = N
In this case you are right, winning votes and margins produce the same
result.
The problem is when N(a>b) + N(b>a) + N(a=b) = N
Then results are different.
Further meanings can be implied when people do not indicate
preferences. It could mean a=b (my opinion is that candidates a and b
are interchangeable clones) or a?b (I do not have any opinion and I rely
on the other voters judgement):
N(a>b) + N(b>a) + N(a=b) + N(a?b) = N
I explained why this leads to the
use of relative margins intead of margins or winning-votes in order to
match optimally the ordering result with the smaller probability of a
reverse pairwise comparison using ranked pairs.
Refer to paragraph 2) on May 22, message:
http://groups.yahoo.com/group/election-methods-list/message/9774
Steph.
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