so this is interesting. it seems to be an extension of Tideman
ranked-pairs that considers first the margins and then the opposing
votes (or winning votes for the opponent) to break ties. is that
essentially it?
On 11/27/11 10:21 PM, Ross Hyman wrote:
When beat path produces a tie, this method can produce a single winner
unless the tie is genuine. It is the same method I presented earlier
except for the addition of the Removing step, which resolves the ties.
Candidates are classed in two categories: Winners and Losers.
Initially, all candidates are Winners. Every candidate has an
associated Set of candidates that includes itself and those candidates
that have defeated it. Every candidate initially has a set composed
of itself and no other candidates. Winners are those candidates who
have no Winners in their set aside from themselves.
The pairs are ranked in order.All pairs are ranked in the form A>B
indicating more voters rank A above B than rank B above A.
now this is ranked pairs w.r.t. margins.
Pairs with equal votes for A above B and B above A are not ranked.
not immediately, but is this not what the procedure below is about?
For winning votes ranking, A>B is ranked higher than C>D if more
voters ranked A above B than ranked C above
If the same number of voters ranked A above B as ranked C above D then
A>B is ranked higher than C>D if more voters ranked D above C than
ranked B above A.
so maybe i got it wrong, first it's Winning Votes that determines the
order of ranking and then Margins is used to break the tie?
If the same number of voters ranked A above B as ranked C above D and
the same number ranked D above C as ranked B above A then these pairs
are equally ranked.
because *both* the winning votes is tied and the margins is tied. what
else is there?
i wonder if it would be better to first rank each pair according to
Margins and then, in the case of tie of Margins, Winning Votes are used
to break the tie to determine which pair result has priority over the other.
for some reason, i like Margins because it is the product of the percent
spread (which indicates how decisive a defeat is) times the number of
voters participating (which indicates how important the pair election
is). that product is a natural measure for how important and decisive a
pairwise defeat is. Winning Votes, all by itself, should not be the
sole (or primary in the present case) decider. what if there is a lot
of voters, but the pair-election is close (say a defeat by 1 vote)?
it's not a decisive defeat, but Winning Votes would say it is. i think
Margins is more salient than Winning Votes.
--
r b-j r...@audioimagination.com
"Imagination is more important than knowledge."
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