[EM] Meek's Method/approval hybrid

[raphfrk at netscape.net]

I was thinking about Meek's method and the possibility of combing it with approval.

There doesn't seem to be a definition of Meek's method on the wikipedia.? Does it already allow equal rankings ?

Anyway, based on my understanding of how it works, what about this method that combines it with approval for the intra-colour/faction voting.? The main difference is how the vote is shared when considering equal rankings, the rest is standard Meek (or at least my understanding of it).

- Each voter submits a ranked ballot, equal rankings allowed.

- Each candidate can be excluded, eliminated or (initially) hopeful

- Each candidate has a weighting
-- excluded: 0
-- hopeful: 1
-- elected: fractional value between 0 and 1

- for each count all the ballots are processed rank by rank

At each rank,
First, the vote is split equally between all elected candidates

Second, any remaining part of the vote is shared at full strength between all hopeful candidates

Third, any remaining vote is passed to the next rank (assuming no hopefuls at this rank).

- quota is recalculated to take into account exhausted ballots (but doesn't double count votes due to effects of approval) = (unexhausted votes)/(seats+1)

- the weightings for all the elected are set so that they end up with 1 quota each (within a delta)
-- I believe this is done iteratively ?

- any hopefuls who exceed the quota are deemed elected, otherwise the candidate with the fewest votes is considered excluded.

- Repeat rounds until elected = seats to be filled

So as an example of sharing of the vote, assume the weights are:

A: 0.25 (elected)
B: 0.5 (elected)
C: 1.0 (hopeful)
D: 1.0 (hopeful)
E: 1.0 (hopeful)

The voter votes

A=B=C=D>E

Since A and B are elected, they get first share of the vote

A gets 0.5 and uses 0.25*0.5 = 0.125, 0.375 remaining
B gets 0.5 and uses 0.5*0.5 = 0.25, 0.25 remaining

Total remaining after allocation to elected = 0.625

C and D get this vote each in full.

The final result (for this ballot) is

A: 0.125
B: 0.25
C: 0.625
D: 0.625
E: 0

The point of the system is that it allows voters to approve lots of candidate and have their vote count as full for all of them.? However, once one of those candidates is elected, then the voter's vote goes to that candidate.? 

If you say that you rank A,B and C equally, then this is interpreted to mean that you want your vote to got to the most popular of A,B and C.? By splitting the voter once it goes to an elected candidate, proportionality is maintained.

 

 


Raphfrk
--------------------
Interesting site
"what if anyone could modify the laws"

www.wikocracy.com

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