Mike Ossipoff wrote (11 Nov 2011):
Let me know if there are errors in the following table:
MAP is Mono-Add-Plump. MAT is Mono-Add-Top. ABE means that the method
passes in the Approval Bad Example.
=========================================================================================
................FBC...3P...1CM...SDSC...UP...MAP...MAT...Participation...SFC...ABE
----------------------------------------------------------------------------------
Approval........Yes...No...No....No.....No...Yes...Yes...Yes.............No....No
MTA.............Yes...Yes..Yes...No.....No...Yes...Yes...No..............No....No
MCA.............Yes...Yes..Yes...No.....No...Yes...Yes...No..............No....No
SMDTR...........Yes...Yes..Yes...No.....No...Yes....?.....?..............No....No
IBIFA...........Yes...Yes..Yes...No.....No...Yes...No....No..............No....No
MDDA............Yes...Yes..Yes...No.....No...No....No....No..............Yes...No
ABucklin........Yes...Yes..Yes...Yes....Yes..Yes...Yes...Yes.............No....No
MDD,ABucklin....Yes...Yes..Yes...Yes....Yes..No....No....No..............Yes...No
MDDTR...........Yes...No...No....No.....No...No....No....No..............Yes...Yes
Mike,
A quick partial reply. SMD,TR fails Mono-add-top and so therefore also
Participation.
8: C
3: F
2: X>F
2: Y>F
2: Z>F
F wins after all other candidates are disqualified, but if 2 F>C
ballots are
added C wins
ER-Bucklin(whole), "ABucklin" on your chart, fails Participation as
shown by this demonstration
from Kevin Venzke (which also applies to MCA, MTA, and "MDD,ABucklin"):
5: A>B
4: B>C
A is a majority favorite and wins.
But add these in:
2: C>A
There is no majority favorite and B wins in the second round.
IBIFA meets "UP" provided ballots with enough slots to enable voters to
strictly rank all the candidates
are used.
I strongly disagree with your suggested method "merit order", and I'll
explain how and why in a later post.
Chris Benham
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