[EM] Re: IRV vs Plurality
Chris Benham
chrisbenham at bigpond.com
Tue Aug 5 17:49:02 PDT 2003
James G-A and others,
I applaud the recent posts in this thread from James Green-Armytage
and John Hodges. I am all for Proportional Representation, and I agree
that it is completely ridiculous for proponents of Approval, IRV and
Condorcet to be in any way publicly getting in the way of each other's
reform efforts (in effect helping Plurality to survive). I have some
definite opinions on the relative merits of several single-winner
election methods and I shall now lay out my case.
For a start I think all good election methods should allow and be
able to handle the voter fully ranking all the candidates. On being
offered a voter's full ranking a method should either respond :
(a) "Fine, I can handle that, that's all I need" (ranked ballot
methods like IRV and Condorcet, and also strictly speaking Plurality).
or
(b) " I will accept that and probably that is all I will be interested
in, but if you care to provide some extra information on how you rate
the candidates then I may have a use for it" (ranked ballot with
approval cutoff, or high resolution ratings ballot)
but NOT
(c) " I can't handle that and I won't accept it. I will only accept
some arbitary number of rankings/grades which is less than the number of
candidates, so you deal with that and then I am going to pretend that
this arbitary number represents your true number of preference levels"
(take a bow, Approval and MCA).
My three most fundamental standards:
1. Condorcet Loser:
With sincere voting it must not be possible for a candidate to win
which, in pairwise comparisons, every other candidate is prefered by a
majority. Completely unacceptable scenario: A despot supported by only
a small proportion of the population is finally forced to submit to a
"free and fair" election. Lots of candidates stand, everybody votes
for their favourite, and the despot wins.
IRV passes; Plurality fails (spectacularly), and so does Approval
(strictly speaking).
2. Majority Favourite:
With sincere voting, a single candidate who is the favourite of the
majority, must win.
IRV , Plurality and MCA pass. In my book, Approval doesn't.
3.Mutual Majority
With sincere voting, if a faction of voters comprisng a majority
prefer a set of candidates over all other candidates, then one of the
candidates in the prefered set must win.
IRV passes; Plurality, Approval and MCA all fail.
Another important one is:
4.Monotonicity:
Changing nothing except ranking a candidate higher on some ballots must
never change that candidate from a winner to a loser, and changing
nothing except ranking a candidate lower on some ballots must must never
change that candidate from a loser to a winner.
IRV is "famous" for failing; Plurality, Approval and nearly
everything else passes.
I am middle-aged and I have lived in Australia all my life, in one of
the majority of States which elects the "lower" house (on which the
government is based) by IRV in single-member disricts. As far as I can
tell, noone even notices that IRV is not monotonic, nor do they notice
the small Lesser of 2 Evils problem.
I might now digress to point out some of the biggest differences between
the political cultures of Australia and the US. One of the two major
parties here is called the Australian Labor Party. It is analogous to
the Labour parties in the Britain and New Zealand.
It was originally started by the trade unions (labour unions), and it
still has links with the trade union bureaucracy. By contrast with the
US, Australian politics has been polarized largely along class lines as
pro and anti Labor. There is more party loyalty than in the US.
Another huge difference is that in Australia voting is compulsory.
There is very little opposition to compulsory voting, and nearly all of
that is seen as coming from self-interested anti-Labor parties. Also in
most Australian IRV elections, voters are legally obliged to put a
number in every box.
Voters all either vote sincerely, or they sincerely choose one of the
political parties which is contesting their district and then just copy
that party's "how-to-vote card". Strategic or "tactical" voting is
almost unheard of and doesn't interest anyone. There is a small centre
party which in a number of seats would be the CW, and one of the 2
major parties in some of those seats might be (based on polls and the
results of the previous election) seen as having no hope of winning.
The supporters of that party never think "Our favourite party can't win
this seat, so lets abandon/"betray" our favorite and try to elect the
lesser evil". I would say that those voters who are interested in
elections would nearly all regard it as part of their civic duty to vote
sincerely, and those that aren't interested, aren't interested. Voters
are not just concerned about which or how many seats are won by which
parties, but irrespective of that they are also interested to see their
favourite party get as big a share of the total vote as possible. In the
State of South Australia, where I live, there is an institutional
attempted anti-gerrymander. There used to be a deliberate policy of
having fewer voters in the relatively sparsely populated rural seats,
but now that is seen as completely unacceptable and offending the
fundamental principle of "one-vote-one-value".
The Lesser of Two Evils problem.
The vote splitting problem under Plurality has a profound effect on
the nominations. As soon as there are more than two candidates, the L2E
problem becomes painfully obvious, and the door opens for the Condorcet
loser. The individual voter who abandons Lesser Evil frontrunner for
no-chance Sincere Favourite, is faced with the horror of helping
Unacceptable frontrunner. So the elections become like self-fulfilling
prophecies: the 2 major parties are the 2 major parties partly because
everyone thinks they are.
In huge contrast to this, L2E only becomes a concern under IRV if
there is a possibility of both of two things happening:
1. Your favourite overtakes Compromise, and then
2. your favourite loses to Unacceptable , when Compromise would have won.
This is never a problem in a 3-candidates election in the situation
where your Favourite and Compromise are close allies, and tightly
exchange preferences. This happens in Australia in some seats: there are
two anti-Labor conservative parties who presently are in federal
government as a coalition.
So in my book those despised US IRV advocates who "falsely" claim that
IRV completely gets rid of the L2E problem are only guilty of slight
exaggeration. Moreover it seems to me that CVD is proceeding according
to a reasonably intelligent 2-stage plan.
By far the best and fairest way to open up electoral politics for more
parties is to use PR. Of all the PR systems currently in use around the
world, the one which gives the greatest power and flexibility to the
voters is ranked-ballot STV-PR. The idea is to first introduce the far
less radical IRV, which will result in (a) voters becoming accustomed
to a ranked ballot , and (b) other parties nominating, at least becoming
visible and then to start winning significant (say 10-25%) numbers of
votes. Then the stage will be set to push for STV-PR , and maybe
Condorcet for single-winner elections. If Approval is introduced, then
there is a danger that the voters will get too comfortable with
single-member districts, and PR will never be achieved.
So to sum up, Plurality is a completely unacceptable nightmare. In
comparison IRV is not a nightmare and is infinitely better, although
certainly flawed and not as good as Condorcet. Changing from Plurality
to IRV is therfore a very worthwhile reform!
Chris Benham
3.
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