Abd ul-Rahman Lomax <[EMAIL PROTECTED]> wrote:

>At 07:18 AM 3/6/2006, Raphael Ryan wrote:
>>
>>The question comes down to how constant that threshold is.  It isn't 
>>perfectly constant so the system isn't perfectly proportional.
>
>It will never be "perfectly proportional." The quantization noise, 
>very likely, would be too great. 

Well, it would be on average proportional over the long term.  The noise is 
only short term noise.

>And it should be realized that there 
>is a severe risk.
>
>There is quite often a significant minority in favor of actions that 
>would endanger the community. 

I don't think that in a 100+ legislature that they would end up being that 
significant.  Also, I think if the districts were multi seat, then the 
randomness would be reduced.

>While there would be little harm in a 
>few representatives in a large parliament being elected through this 
>scheme, there would arise a risk that more than just a few would be elected.
>
>There are other complications: candidates don't run again for various 
>reasons. The transfer of votes mechanism was passed over with what 
>look to me like major unsolved problems.

This is an issue, I think on retirement or death, excess should be 
transferrable.  Allowing transfers in every election after the votes are 
counted is equivalent to asset voting (I think ?) except that candidates can 
decide to keep some of their votes for the next election instead of giving them 
all away.

>
>*However*, while the method is interesting, delta-sigma communication 
>works when the update frequency is high. Delta-sigma with an update 
>frequency of a year would not track the electorate very well. Indeed, 
>what this system would do is to influence present assemblies by how 
>the electorate felt years earlier.

This could be a feature, it provides some stability.  However, this would 
likely be offset by the quantisation noise.

>
>Further, since the goal seems to be proportional representation, and 
>there is already an excellent method on the table that *quickly* 
>creates proportional representation without lost votes, and it does 
>so almost immediately (and without party-list), the idea seems a 
>purely abstract exercise in possibilities, something that we should 
>certainly do, but not likely to be very fruitful in terms of ever 
>seeing the light of day.

The proposed system could be combined with a ranked voting method.  You would 
rank candidates and the last choice would be something like "7:  candidate B's 
excess pool".  This would give pretty good proportionality in the short term 
and near perfect proportionality in the long term.  The main point is to 
eliminate wasted votes.  

It could also be used with fractional voting too, in fact, that might be 
useful, there is little point in using up your entire vote on a candidate who 
is at 90% of the threshold before the election.  

I see your point about asset voting.  A negotiation step can allow the 
interactions to happen between candidates that would require a complex voting 
procedure to model.  However, you lose the anonymous/secret ballot effect at 
the negotiation stage.  There are also issues for hold outs and deadlocks and 
"chicken" effects.  A deterministic voting system avoids all that.

Also, I was reading Warren Smith's paper.  I think that the mechanism for 
elimination he proposes still suffers from the middle squeeze effect of IRV.  
Perhaps a better rule would be to allow a candidate to voluntarily exclude 
himself.  However, I guess a candidate can do that by just transferring all his 
votes to another person.


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