[EM] proposal: weighted pairwise comparison

[Dgamble997 at aol.com]

Brian Bolsom wrote about the following examples:

45 A 100 > B 70 > C 0
10 B 100 > A 70 > C 0
5  B 100 > C 70> A 0
40 C 100 > B 70 > A 0


45 A 100 > B 10 > C 0
10 B 100 > A 90 > C 0
5  B 100 > C 90 > A 0
40 C 100 > B 10 > A 0

>Yup. Both are decided by plain Condorcet, which only considers rankings 
>not ratings, and B wins. Of the methods on my Election Calculator, only 
>IRV selects A. B is the compromise candidate. Everyone is happy enough 
>with B

>In your second example, B being devalued and B-voters throwing in more 
>with A, IRNR picks this up and selects A (rank-only methods other than IRV 
>still choose B):

Thanks for putting my examples into your Election Calculator. One question 
though, how does it translate the cardinal ratings into Approval ballots?

Your Election Calculator translates both examples into the Approval result:

A 55
B 100
C 45

Surely using the zero information strategy of  "approve all candidates whose 
cardinal rating  is greater than the mean cardinal rating" the second example 
should give the Approval result:

A 55
B 15
C 45

David Gamble






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