[EM] sequential dropping
Chris Benham
chrisbenham at bigpond.com
Mon Mar 14 05:03:15 PST 2005
Marcus,
I understand that what is usually meant by "monotonicity" is what
Woodall calls "Mono-raise".
" Mono-raise: a candidate x should not be harmed if x is raised on some
ballots without changing the orders of the other candidates."
On the other hand, what you refer to here is not Mono-raise but is
instead what Woodall calls "Mono-add-top".
> /SD chooses candidate A. / / Act II: // If "DE 19" is changed to "DE
> 10" then SD chooses // candidate D. /
"Mono-add-top: a candidate x should not be harmed if further ballots are
added that have x top (and are otherwise arbitrary)."
You have just done the operation back-to-front. Woodall writes that we
can't have all three of his Plurality property, Condorcet(Net)
and Mono-add-top.
Mono-add-top is met by IRV, but is failed by all fashionable and (IMHO)
reasonable Condorcet methods.
Chris Benham
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