[EM] question/comments re DMC
Jobst Heitzig
heitzig-j at web.de
Tue Aug 30 02:29:54 PDT 2005
Dear Warren!
You wrote:
> but in range's case it is particularly self-evident.
Right, I could have seen that myself, sorry.
> --Also, now that I understand DMC has two kinds of monotonicity property, I
> must report my admiration.
Why? Many Approval/Condorcet-hybrids are monotonic in both senses.
> DMC however exhibits "no show paradoxes" where
> voting for A top cuases A to lose, and if you had instead not voted, A would
> win. This is something like a monotonicity failure (although technically not
> one). Range voting in contrast is both monotonic and never exhibits
> a no-show paradox, so in that sense range voting is superior.
Agreed. Most Condorcet methods violate mono-add-top as they violate later-no-harm. But at least adding a truncated ballot with a first preference only is monotonic.
Yours, Jobst
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