Juho Laatu wrote:
Is the target here to have a method
that would allow and encourage having
multiple candidates? (to allow the
people of Owego to select the winner
themselves instead of others/parties
telling them what their choices are)

The target here, I think, is to have a method that uses another method of discovery than that of having the candidates push that information onto the people. This is based on that the usual method favors the candidates who have greater strength of dissemination, which translates to expensive campaigning budgets, which translates into that the candidates that do appear viable are either very rich or have the backing of external forces that demand quite significant favors in return (be those forces the rest of the political party, or lobbyists).

Or in short, the rationale for finding another method is that the current method favors those in power. Hence those in power gain more power, which is undesired positive feedback.

This can be taken as an independent
challenge. Which methods / systems
lead to having numerous candidates?

(I limit the scope of discussion to
single-winner elections, and exlude
primaries and other party internal
candidate selection and hierarchical
proxy based methods.)

Fred's method could be used to select a single winner. Would you call it a hierarchical proxy? There is somewhat of a proxy thought in that the continuing candidates from each council "represent" the councils below, but it's not as thorough or direct as with say, delegable proxy, because the structure is fixed and one may argue that the lower councils select "good candidates" rather than "candidates that represent the council".

Plurality certainly is not the method.
It typically has only two candidates
with chances to win, and others are
easily spoilers.

I think one could make Duverger's law more general. If the method limits the voter to ranking k candidates, then the system tends towards a k-party state. For plurality, k = 2, since if you vote for A and only A and B are relevant, then that in essence is A > B.

However, the grip of that law is weaker as k increases. Consider a country like Canada, for instance. In it, different provinces have different strong parties (e.g. BQ). Local support keeps the system from degenerating into a two-party state. As k increases, the possibility that each local area will have different strong parties also increases: with k = 2, each local area can only have two strong parties, but with k = 3 they may have three, etc.

Approval discourages nomination of
more than one candidate per party
or section.

It also has the Bush-Gore-Nader problem (if Nader is relatively popular). Both of these problems disappear if voters use strategy and know the others' sincere votes, but I've mentioned before why I don't like Approval (let's not have the entire VNM debate again).

Incidentally, Range supporters say that Range would be a method such as you're seeking. The idea is this: if the candidate is viable or really matters (McCain or Obama, for instance), then voters would max-min strategize, but if the candidate doesn't (Baldwin, McKinney, Barr), voters would vote honestly; thus third parties receive more support than one would expect if everyone voted honestly, since their significant competitors would be rated disproportionately low.

IRV also carries some risk of early
elimination of potential winners if
one party has several candidates.
Also exhausted ballots may be a
problem if some section has numerous
candidates. IRV is however probably
better than the previous two.

Condorcet seems to work a bit better
than IRV.

IRV has troublesome discontinuities. More significantly, it seems to lead to two-party domination (as in Australia). There are two possible explanations: either single-round single-winner elections in general increases the strength of the two most powerful parties, or IRV in particular distills the ballots badly enough to give a bias to the two major parties.

Condorcet might produce an opinion monopoly if there is only one political axis. The winner would be a centrist every time, so everybody would try to become centrists, as close to the center as possible to capture as many votes as possible. If there are more than one axis, there could still be competition, if on no other axis than "good centrist" (honest, fair, etc) versus "bad centrist" (corrupt, populist, etc).

All methods that expect the voters
to evaluate (rank or rate) large
number of the candidates will be
in trouble when the number of
candidates gets high. At some
point methods with shorter ballots
become useful.

Most serious ranked and rated ballot systems would allow the voter to rank or rate only a subset of the candidates. The other candidates are either considered "below all ranked/rated" (Condorcet, plain Range, etc), or as if the voter didn't specify any information at all about them (Warren's average Range with quorum, but could also be used in Condorcet if so desired).

One approach is to use a candidate
tree where the votes (to individual
candidates) are summed up in all
the branches to see which branch,
sub-branch and candidate wins.
This would allow very high number
of candidates.

One could also have a series of runoffs. A possible way to do that would be to eliminate, after each stage, those candidates where one is sure the people don't want them (e.g a Condorcet loser where a majority specified a preference regarding this candidate). Another way would be to differentiate the runoffs based on different areas of the country: the council democracy concept is a bit like this, where "runoffs" merge in the later rounds. A council-like merging runoff system could work like this:
        - first level, local elections of people in each district
- second level, regional elections with winners of the district elections as candidates. - third level, national elections with winners of regional elections as candidates.

It would probably involve some sort of campaigning between each phase. It might also be weak in this respect, because if a very nationally well-known candidate would stand for first level election, he might make the first and second levels irrelevant by being easily elected in both instances.

Discussion above covered only the
part of making nomination of
multiple candidates possible. In
addition to this the method should
also discourage nomination of only
few candidates (parties may have
some interest in doing so because
this way the "inner circle" may
better determine who will win
instead of leaving that to the
voters).

It's not technically that hard to make such rules. For instance, demand that the president were a Senator or Representative before becoming president, then allocate Senate or House seats according to a rule that favors many candidates (that is, that exhibits teaming); or, for that matter, use a single-winner method that favors teaming, directly.

However, doing so would lead to a situation where the parties would try to outcrowd the other, leading to immensely long lists of clones. Clones do no good, because they don't give the voters any additional variety. In Borda, for instance, the party with the largest slate wins (unless it's really unpopular). Therefore, using teaming directly is pointless.

One may argue that good ranked vote methods would encourage the nomination of multiple candidates, in particular if the party is unsure where the median voter is positioned. On the other hand, parties might benefit more from uniting behind a candidate (and throwing all support, campaigning, etc, towards that candidate) than they would by having multiple candidates run.
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