[EM] Re: margins axiom
Chris Benham
chrisbenham at bigpond.com
Sat Jun 19 06:16:16 PDT 2004
Steve,
You wrote (Fri.Jun.18):
"There is a possible compromise between margins and
majorities (but I prefer straight majorities, not
this compromise):
If the voter leaves two candidates unranked,
don't count that as a half vote for each, count it
as zero for each. But if the voter explicitly ranks
two candidates as equal, count that as a half vote
for each.
Thus, if more than half the voters rank x but not y,
then y cannot have a count over any z that is as large as
the majority for x over y. This means it's straightforward
to satisfy the minimal defense criterion; for instance,
the corresponding variations of MAM and BeatpathWinner
satisfy minimal defense.
Truncation resistance, as I've defined it in my webpages,
is also satisfied."
CB: In reference to the phrase "if the voter explicitly ranks two candidates equal", does that
include "equal last"?
Chris Benham
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