[EM] Approval _is_ like sincere Borda.
nkklrp at hotmail.com
Mon Jan 5 05:38:02 PST 2004
Sure, on the average, Approval is like sincere Borda. Surely often they'd
both give the same result. Sorry if I misunderstood and replied as if you'd
meant they always do. One is more likely to vote for one's 2nd choice than
one's 3rd choice, and so, overall, the effect could be like Borda.
Approval is different from IRV and Plurality, and is like Borda, in that
Approval and Borda both look at a candidate's overall likedness. They both
reflect and express ratings. In Approval whether one votes for a candidate
depends on ratings, while in CR the ratings are explicit, and in Borda
they're assumed to vary linearly down the ranking.
So sure, the approximation that you (Bart) used would, overall, on the
average, be like Borda. A 1/3 probability someone will vote for his 3rd
choice, a 2/3 probability someone will vote for his 2nd choice, a 3/3
probability he'll vote for his 1st choice, and a 0/3 probability he'll vote
for his 4th choice. So the expectation for what he'll give a candidate in
that Approval approximation is the same as what he'd give him in Borda. That
dramatizes the ratings-influenced similarity between Approval & Borda.
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