[EM] Reply to Chris regarding the Approval bad-example
MIKE OSSIPOFF
nkklrp at hotmail.com
Thu Nov 17 14:24:15 PST 2011
Chris said:
Mike refers to this scenario:
> The Approval bad-example is an example of that. I'll give it again here:
>
> Sincere preferences:
>
> 49: C
> 27: A>B
> 24: B>A
>
> A majority _equally strongly_ prefer A and B to C.
>
>
> Actual votes:
>
> The A voters defect, in order to take advantage of the
> co-operativeness and
> responsibility of the A voters:
>
> 49: C
> 27: A>B
> 24: B
>
I agree that *if* the sincere preferences are as Mike specifies then a
just interventionist mind-reading God
should award the election to A.
[endquote]
Fine. But can Chris say what's wrong with that outcome in other instances?
Chris continued:
But a voting method's decisions and philosophical justification should
be based on information that is actually
on the ballots, not on some guess or arbitrary assumption about some
maybe-existing "information" that isn't.
[endquote]
Why? Why shouldn't a voting system avoid a worst-case, if, by so doing,
it hasn't been shown to act seriously wrongly in other cases?
And MMPO & MDDTR don't just bring improvement in the Approval bad-example. They,
in general, get rid of any strategy dilemma regarding whether you should middle-rate
a lesser-evil instead of bottom-rating hir. For instance, consider the
A 100, B 15, C 0 utility example.
In MCA, there's a question about whether you should middle-rate or bottom-rate B. In
MDDTR and MMPO, that dilemma is completely eliminated.
In those methods, middle rating someone can never help hir against your favorite(s).
Chris continues:
I think a very reasonable tenet is that if, based on the information on
the ballots, candidate X utterly dominates
candidate Y then we should not elect Y.
[endquote]
Yes, there are many reasonable tenets among the aesthetic criteria.
Chris continues:
For several reasons (for those who can pooh-pooh this as "merely
aesthetic"): electing Y gives the supporters
of X a very strong post-election complaint with no common-sense or
philosophically cogent answer, X is highly
likely to be higher Social Utility (SU), Y's victory will have
compromised legitimacy.
[endquote]
Wait a minute. These candidates in this example are A, B, and C.
How does A lack legitimacy? Among the candidates not majority-defeated, A
has more favoriteness-supporters than any other candidate.
Chris continues:
The Plurality criterion is one very reasonable criterion that says that
C is so much stronger than A that the election
of A can't be justified. .
[endquote]
There are lots of aesthetic criteria that say things like that, and they all sound
aesthetically reasonable. How great is their practical strategic importance?
Chris continued:
There are other criteria I find reasonable
that say the same thing:
"Strong Minimal Defense": If the number of ballots on which both X is
voted above bottom and Y isn't is greater than
the total number of ballots on which Y is voted above bottom, then don't
elect Y.
[endquote]
But can you word that in such a way that it isn't met by Plurality?
What sort of strategic guarantees are protected by the criteria
that you propose in this posting?
Chis continues:
The election of A is unacceptable because C's domination of A is
vastly more impressive than A's pairwise win over
B. The Plurality criterion plus the three other criteria I define above
all loudly say "not A".
[endquote]
In other words, it looks bad from those perspectives.
The election of A is justified by its being consistent with FBC, SFC or SFC3,
freedom from dilemma about middle-rating a compromise, and either
Later-No-Harm or non"failure" in Kevin's MMPO bad-example. --things that are
guaranteed by MMPO and MDDTR.
Additionally, as I was showing to Jameson, electing A in these methods
isn't really wrong.
> The A voters defect, in order to take advantage of the
> co-operativeness and
> responsibility of the A voters:
Chris replies:
The plausibility of arbitrary claims about the voters' sincere
preferences and motivations
[endquote]
More a matter of "what if", rather than claims.
Chris continued:
can weighed in the light of the
used election method's incentives. How is it so "co-operative and
responsible" of the A voters to rank B when doing
so (versus truncating) can only help their favourite?
[endquote]
It's co-operative because it defeats the candidate commonly disliked by A
voters and B voters, in MCA, MDDTR and MMPO.
If neither did that, C would win.
If the A voters refused to, and, instead, the B voters co-operated, then it would
be B would win, by being the defectors.
Chris continues:
And why would the
B voters be insincerely truncating ("defecting")
when doing so can only harm their favourite?
[endquote]
In MCA that defection could give their favorite the win, if the A voters have
co-operated, in spite of the A voters being more numerous.
In MPPO or MDDTR, the problem doesn't exist. The A voters can co-operate or
defect, and A will still win, having more top ratings. Hardly a controversial
result.
Chris continues:
Given the incentives of the MDD,TR method that Mike is advocating, it is
only reasonable to assume that the truncators
are all sincere
[endquote]
Wait a minute: I'm not saying that B truncation is a problem in MDDTR or MMPO. In fact,
my point is that it is _not_. But co-operaton/defection is indeed a problem in MCA.
Hency my advocacy of MDDTR and MMPO.
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