<HTML><FONT FACE=arial,helvetica><HTML><FONT SIZE=2 PTSIZE=10 FAMILY="SANSSERIF" FACE="Arial" LANG="0">Brian Bolsom wrote about the following examples:<BR>
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45 A 100 > B 70 > C 0<BR>
10 B 100 > A 70 > C 0<BR>
5 B 100 > C 70> A 0<BR>
40 C 100 > B 70 > A 0<BR>
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45 A 100 > B 10 > C 0<BR>
10 B 100 > A 90 > C 0<BR>
5 B 100 > C 90 > A 0<BR>
40 C 100 > B 10 > A 0<BR>
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>Yup. Both are decided by plain Condorcet, which only considers rankings <BR>
>not ratings, and B wins. Of the methods on my Election Calculator, only <BR>
>IRV selects A. B is the compromise candidate. Everyone is happy enough <BR>
>with B<BR>
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>In your second example, B being devalued and B-voters throwing in more <BR>
>with A, IRNR picks this up and selects A (rank-only methods other than IRV <BR>
>still choose B):<BR>
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Thanks for putting my examples into your Election Calculator. One question though, how does it translate the cardinal ratings into Approval ballots?<BR>
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Your Election Calculator translates both examples into the Approval result:<BR>
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A 55<BR>
B 100<BR>
C 45<BR>
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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:<BR>
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A 55<BR>
B 15<BR>
C 45<BR>
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David Gamble<BR>
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