[EM] Fixing IRV
royone at yahoo.com
Thu Aug 9 10:52:13 PDT 2001
Richard Moore <rmoore4 at h...> wrote:
> All voting systems that eliminate alternatives
> prior to selecting a winner violate monotonicity .
I wouldn't be terribly surprised if my method violated monotonicity,
but only when there is no Condorcet winner. Each round of elimination
is discarding candidates who could not possibly be Condorcet winners
(because more people are ranked above them than below).
Are there available some data I could use to see how my system
handles various Smith set situations (preferably along with results
from some system that we like).
With this data:
C has exactly half above the median point and half below. If we
require a majority to eliminate, C continues (and wins); if we
require a majority to continue, C is eliminated and A wins. I presume
a similar situation arises in all Smith set results. I don't see an
opportunity for non-monotonicity in this example; I would like to see
an example that demonstrates it. Perhaps a situation with inner and
outer Smith sets?
One correction to my original spec: tie ranking among N candidates
should contribute 1/N vote for each of them to each of the ranks they
share (e.g., if 3 candidates tie for 2nd, each gets 1/3 of a vote for
2nd, 3rd, and 4th). Thus there are no half-rank values, but there are
Is anybody (besides me) interested in pursuing this method further?
It's not that it's a technically better method than any other
Condorcet method; it just offers a more pursuasive argument to IRV
advocates, because it's better than IRV by their own standard
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