[EM] Margins examples
Michael Ossipoff
mikeo2106 at msn.com
Sat Feb 24 01:36:52 PST 2007
I'll start with order-reversal, because that's what Juho's example was
about:
Order-Reversal:
In the example below, the A voters prefer B to C, but are using offensive
order-reversal in order to take victory from B. The B voters could be
regarded as not having a preference among A and C, or considering A to not
deserve a vote, or they could be defensively truncating (but with margins it
won't work, and they need more drastic misrepresentation of their
preferences in order to save B):
101: AC
100 B
50: CB
The B & C majority prevent A from winning by merely not ranking A. This is
an SDSC example. And it's a margins SDSC failure example.
Truncation:
Either the A voters prefer B to C, but are employing offensive truncation
(successfully in margins), or they don't have a preference among B and C, or
maybe they're just being lazy, or are in a hurry. If they prefer B to C,
then B is the CW, just as in the previous example:
101: A
50: BA
100: CB
Again, A wins in margins. The offensive truncation succeeds. Or, maybe lazy
or hurried truncation took victory from B. Truncation doesn't affect wv in
this way. With no one falsifying a preference, the B & C majority can keep A
from winning merely by voting sincerely. This is an SFC example. And it's a
margins SFC failure example.
Mike Ossipoff
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