[EM] Three rounds

[Raph Frank]

On Mon, Nov 10, 2008 at 4:05 PM, Juho Laatu <juho4880 at yahoo.co.uk> wrote:
> One could e.g. force supporters of the "eliminated" candidates to approve more than one candidate (at least one of the "remaining" candidates) (instead of just bullet voting their second preference). On possible way to terminate the algorithm would be to stop when someone has reached >50% approval level.
>
> Also in "non-instant" runoffs one could e.g. force the voters to approve at least one on the "remaining" candidates. (One could eliminate more than one candidate at different rounds.)

That is kinda like Bucklin, though without the approval threshold
changing in each round for all voters.

The process could be

1) Each candidate is designated a strong candidate
2) Each ballot is considered to approve the highest ranked strong
candidate and all candidates ranked higher.
3) If the most approved candidate has > 50%, then that candidate is elected.
4) Re-designated the least approved strong candidate a weak candidate
and goto 2).

It still suffers from centre squeeze effects, though.

For example

45: A>B>C
9: B>A>C
46: C>B>A

Round 1

A: 45
B: 9
C: 46

no winner, B designated 'weak'

Round 2

A: 54
B: 9
C: 41

A wins.

The method has potential strategic truncation incentives.

If B voters bullet voted for B, the result would have been

Round 2

A: 46
B: 9
C: 41

C designated 'weak'

Round 3

A: 46
B: 55
C: 41

B wins

Ofc, the other voters can use counter strategies.

 It might be worth adding a rule that if all candidates on a ballot
are weak, the ballot counts as approving everyone.