[EM] 22 March, 1435 GMT, Chris: Approval
Michael Ossipoff
mikeo2106 at msn.com
Thu Mar 22 07:36:06 PDT 2007
Id said:
Ive never denied that rank methods can add advantages not available in
Approval. Ive even said that I myself would prefer a good rank method for
our public elections, though I myself, as a voter, would be content with
Approval. It would be a nice luxury to rank the best candidates, but I dont
really care which one of the best candidates wins.
Chris replies:
That is your individual inclination, one which is very convenient for an
Approval advocate.
I reply:
Chris quotes the definition of Minimal Defense:
Minimal Defense. (Due to Steve Eppley.)
If more than half of the voters rank candidate A above candidate B, and
don't rank candidate B above anyone, then candidate B must be elected with
0% probability.
Steve Eppley has defined and discussed Minimal Defense here and here.
Satisfaction of this criterion implies compliance with Mike Ossipoff's
strong defensive strategy criterion, although the reverse is not necessarily
true. That criterion can be found here.
http://nodesiege.tripod.com/elections/
Id said:
I don't agree with Keviln Venzke that Minimal Defense (MD) must be met.
Chris replies:
I'd be interested in seeing an example of MD failure that you agree (or are
content) with.
I reply now:
Id agree and be content with an example that doesnt violate SFC or SDSC. I
dont judge methods by Minimal Defense. For one thing, its only about rank
methods. I prefer criteria that compare all methods.
Yes, youll say that Minimal Defense compares all methods, if we tell the
story of the voters who arrive at the polls intending to vote rankings that
are optimized for Plurality strategy. <smiley>
But I prefer criteria that apply to and compare all methods without that
ridiculous story. Criteria whose justification doesnt depend on voting that
is unexplained and rankings that are without any meaningful real-world
interpretation.
Chris continues:
[Approval] is very vulnerable to disinformation campaigns
Thats a vague statement that could be said of many methods, including some
that Chris likes.
My statement lacked details, but that doesn't make it "vague". I've
elaborated this criticism of Approval
a few times before.
Say in the lead-up to the election two candidates have announced that they
will run, and accurate polling
of voters' voting intentions shows A52%, B48%. Say the media hate A, so
others that hate A nominate
a third candidate C who is anathema to A's supporters (or at least some of
them). Then those that hate A
set about giving C a high profile and publishing some fake polls that
suggest that C has some chance to
win. This frightens some of the A supporters into approving B, causing A to
win.
I reply:
Thats routine in this country.
Chris continues:
47: A
05: AB (disinformed timid A>B preferrers)
46: B
02: CB
Approval: B53, A52, C2.
I reply:
Quite so. Thats why I say that, though for me, as an individual voter,
Approval would be fine, millions of voters need a method that doesnt
require any good judgment from them--a good rank method.
As it actually happens, virtually all of the A voters vote for B, and so
its easy for the media to convince voters that A isnt viable and isnt
a serious candidate. The election results seem to confirm what the A
supports have been told by their tv.
But that isnt so with Approval. Even if all the A voters helped B, the vote
totals still show (as they do in your example) that A outpolls C. So, though
the voters are fooled once, they shouldnt be fooled again. Next time the
media try to tell them that A cant beat C, the A supporters hopefully wont
believe it.
As I said, Approval soon homes in on the voter median and stays there.
SSD, MDDA and MAMPO have the advantage of getting there immediately. Also,
those excellent rank methods require less judgment on the part of voters.
But theres a good chance that, in Approval, the A voters wont vote for B
(or a candidate of Bs party) in the second election, after finding that A
outpolls B.
Aside from all that, if B were really an acceptable candidate, if the A
voters all knew what they were doing when voting for B, then your examples
outcome would be an acceptable one. If, on the other hand, B is unacceptable
to A voters, then they shouldnt vote for B, and then your result wouldnt
happen.
Chris continues:
What "methods that I like" do you have in mind as being comparably
vulnerable to disinformation campaigns?
I reply:
The ones that fail FBC and SFC will sometimes require voters to bury their
favorite in order to save a compromise. But those methods will never have
the strategy-freedom that an SFC complying method would have.
Those strategy problems can be described in terms of voters dire need for
good information to inform their strategy. The more drastic the needed
strategy, the greater the need for information. And a desperate need for
good information, to inform defensive strategy, makes for great
vulnerability to media disinformation.
Chriss co-operation/defection example:
Sincere preferences:
40: A
29: BC
31: CB
The C voters vote C & B. The B voters vote only B. B wins by defection.
Id asked:
Chris, can you find a majority who is being robbed of victory here?
Chris replies:
No, but if 21 or more of the C voters also defect the sincere BC majority
solid coalition is robbed of victory and
the sincere majority loser wins.
I reply:
Yes. Its a good thing that at least the C voters had good judgment, so
that someone acceptable to them won.
But, in the next election, The B faction will be in a poor position. After
the defection, the A voters will have a very credible threat to bullet-vote
(if they feel its that important to beat B), especially if theres some
reason to believe that A has more popularity than B has.
But I answered about that defection/co-operation problem in a recent
posting.
Chris said (showing the operation of FARCS):
say the 'intended rankings are
40: A
29: B>C
31: C>B
On these intended rankings, C is the CW. On arriving at the polling place we
pretend that those who
were intending to rank B>C or C>B are surprised to find that they have to
use 2-slot ballots, so they each
make an arbitrary choice whether to approve (consistent with their intended
rankings) one candidate or two.
This could result in these actual cast approval ballots:
40: A
29: B
10: CB
21: C
Approvals: A40, B39, C31.
A wins, failing Condorcet. (This is the same set of cast ballots as in the
"defection backfires because of too
many defectors" example).
I reply:
All very well, for Approval. But what happens to your plausible story if the
method is Plurality? You say that, then, FARCS assumes that the voters
arrive at the polls intending to vote a ranking that is optimized for
Plurality. So your story about voters who are surprised by not having a rank
methods doesnt work at all, does it. Now youre forced to tell of voters
who arrive at a Plurality election intending to vote rankings that are
optimized for Plurality. How much sense does it make to say that they come
to a Plurality election intending to vote rankings, when they know that its
a Plurality election (as they must, because their rankings are optimized for
Plurality)?
Thats what I mean by a ridiculous story and a very inelegant criterion.
When I offer a method to the public, and tell them about a criterion
compliance that justifies it, I dont want to tell them that ridiculous
story when I tell them why some methods fail the criterion. I dont want to
explain why the criterion appears to only compare rank methods, explaining
it with that ridiculous story.
You and Kevin might find FARCS useful for discussing and comparing methods
among yourselves, but I hope you know better than to actually try to use it
with most people.
Anyone who tried to use your FARCS criteria would be laughed off the stage.
Mike Ossipoff
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