Re: [Election-Methods] Measuring power in a multi winner election

2007-09-25 Thread Juho
On Sep 24, 2007, at 23:03 , Howard Swerdfeger wrote:

 One alternative approach would be to require higher percentage of  
 votes
 in some cases, e.g. after decisions have been made with lower
 percentages for few times. In this case 30%+30% would not be  
 enough any
 more in some cases but the the approval limit would go up from 50%  
 e.g.
 to 65% at some point.

 Good point, I ran my numbers with a threshold of 50% of the seats,
 rounded up.
 the threshold could be altered, and it is unknown how this would  
 effect
 the power index.
 My guess would be that as the threshold was raised to 100% of the  
 seats
 it would Slowly equalize the power between the parties.

One more approach would be to give the parties some veto votes that  
they can use as they wish during the period between elections. If  
some party in on the losing side in some vote by 5% margin it could  
still veto and use 5 of its veto votes to do that (maybe all losing  
parties would use some of their veto votes).

Juho





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Re: [Election-Methods] Measuring power in a multi winner election

2007-09-24 Thread Howard Swerdfeger
Howard Swerdfeger wrote:

 |-|--||-|
 |  YEAR   | PropRep  | PropPower  | System  |
 |-|--||-|
 |  1993   |  18.3|  54.0  |  FPTP   |
 |  1996   |   6.0|  10.2  |   MMP   |
 |  1999   |   4.7|  12.2  |   MMP   |
 |  2002   |   3.9|  24.2  |   MMP   |
 |  2005   |   1.3|  16.4  |   MMP   |
 |-|--||-|


In all cases lower numbers are Better or more proportional.
as the number is actually a measure of Dis-proportionality.

Sorry if this was not clear in my first email

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Re: [Election-Methods] Measuring power in a multi winner election

2007-09-23 Thread Abd ul-Rahman Lomax
At 11:22 AM 9/21/2007, Howard Swerdfeger wrote:
The drive behind thes moves it usually that the old system fails to
translate votes into seats fairly. (Votes != Seats)

If we want to understand fair proportional representation, we must 
look back to the principle of representation itself, and to pure 
representation, which does not involve elections, except in the most 
basic technical sense.

If we have an assembly at which all members of a society may attend 
and vote, and if every eligible voter actually attends and 
participates, we have a pure and complete democracy. Unfortunately, 
as scale increases, and even on a small scale in common situations, 
this goal is impossible to attain, because there are differing 
abilities of members to actually attend a meeting and devote the 
necessary time to the issues. So even Town Meeting government, as we 
have in New England in many small towns, fails in certain respects. 
Town Meeting in the small town where I lived for some years often had 
trouble finding a quorum for meetings, and the quorum was five 
percent of town members.

However, it still worked reasonably well, because town government 
tended to operate seeking consensus. These were neighbors and 
friends, and the people who actually attended Town Meeting were, 
informally, representing many of those who could not. But not all, 
and not proportionally, which we could see clearly in some situations.

Massachusetts law requires secret ballot votes, at the regular polls, 
for tax overrides. It is fairly common for a tax override to be 
approved by Town Meeting and to fail at the polls. Obviously, Town 
Meeting is not accurately representing (or shaping, same thing) Town 
opinion. We can presume that most people active in Town Meeting also 
vote at the polls, but then there are many more who vote in the polls 
but who don't attend Town Meeting (perhaps larger by a factor of ten or so).

So, in order for everyone to be represented in an assembly, we need 
some kind of representation. There are two basic forms, and the 
difference between them is so drastic that it is a wonder to me that 
we have the one, in political practice, supposedly in democracies, 
when, in situations where people have free choice, they would never 
pick it! But, to my knowledge, for governmental applications, we have 
never been offered that choice, and, where we might have been able to 
implement it -- as with Town government in New England -- the idea 
seems to have never even occurred.

The two systems are, of course, elected representatives by some 
scheme, for better or worse, or chosen representatives. A choice is 
an election which is why I will acknowledge that proxies are 
elected, but it is not a contested election. That is, the voter 
has the absolute right to choose anyone as representative, or to 
participate personally. This is the *norm* in business! But it is 
*never* done in politics!

Part of my task is to ask the obvious question, as with the emperor 
wearing no clothes: Why?

I do have pieces of the answer, but it is an open question. Much of 
it is simply history. Our present governmental systems, in 
democracies, evolved from undemocratic forms, with a gradual 
extension of freedom coming down from the top. That is, a collection 
of feudal lords were able to demand rights from the sovereign whom 
they chose to govern the overall society. But they were a small 
group, and they had no need for proxy representation. (But note that 
in some assemblies, even governmental ones, such as in New York, 
members can vote by proxy in some situations, I think committee votes 
can be by proxy. And there are moves to attempt to limit this, it 
being considered an abuse, and if a proxy vote is merely an 
absentee vote, I agree. The systems I propose do not necessarily 
allow directed votes; rather, the proxy simply votes, and those 
represented are considered to have voted in the same way, unless they 
intervene and vote directly.)

Proxy democracy creates a perfect PR assembly, practically by 
definition, but it is not, generally, a peer assembly. There is a 
variant which, with a sufficient district size -- particular an 
election district which is the entire jurisdiction -- is usable with 
secret ballot, and which creates *almost* perfect proportional representation.

Note that I say proportional representation, not proportional voting. 
However, when we have party-based PR, and we assume party-line 
voting, then voting power and representation are essentially the same thing.

But the key to understanding PR is not voting power, per se, but 
rather moves two tumblers: (1) representation in deliberation, and 
(2) representation in voting.

One of the realizations I came across in this study was that the two 
were separable and have different requirements. One of the reasons 
that direct democracy has been considered impossible to scale has 
been that the two were not separated. Direct participation in 
deliberation is 

[Election-Methods] Measuring power in a multi winner election

2007-09-21 Thread Howard Swerdfeger
I know that this list is primarily single winner elections but I thought 
  given the low volume as of late a slight change of topic would be welcome.

with that, I was wondering about multi winner elections. specifically 
the  parliamentary kind typical of most former British colonies.

Do to the inadequacies of the FPTP system in creating a government many 
of these countries are looking at alternative systems, New Zealand moved 
to MMP, Scotland as well, BC tried to once, and will try again move to 
STV, Ontario is looking at MMP.

The drive behind thes moves it usually that the old system fails to 
translate votes into seats fairly. (Votes != Seats)

but most of these reforms fail to recognize that that Seats do not equal 
power. So we are still still stuck with a similar problem (votes != power)

I was looking into 2 methods of measuring power in a weighted voting system.

http://en.wikipedia.org/wiki/Banzhaf_Power_Index
http://en.wikipedia.org/wiki/Shapley-Shubik_power_index

I was wondering first if there are any methods of measuring power in a 
legislature that I am unaware of? Secondly if anybody has tried to 
design a generic system where by votes are kept proportional to power, 
via allocation of seats?


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Re: [Election-Methods] Measuring power in a multi winner election

2007-09-21 Thread Juho

Some random observations on the theme.

Seats != power seems to assume that there is a hard party  
discipline (=all party representatives will/must vote as told by the  
party). Or alternatively representatives could have different weights  
(different number of votes each).


You skipped the normal rule of proportional systems where votes =  
seats quite quickly. It has its problems but I guess also possible  
power measurement based methods would have some problems. Let's say  
there is a rule that one can modify the constitution with 75% of the  
votes. There are three parties: 45%, 45% and 10%. Should we now give  
the smallest party more power by allowing it to modify the  
constitution together with one large party in some cases (with only  
55% of the votes)?


With 50% limit and parties 30%, 30%, 30%, 10%, should we allow  
minority decisions in some cases to allow the small party to decide  
in some cases?


One alternative approach would be to require higher percentage of  
votes in some cases, e.g. after decisions have been made with lower  
percentages for few times. In this case 30%+30% would not be enough  
any more in some cases but the the approval limit would go up from  
50% e.g. to 65% at some point.


Note that if the parties will make majority decisions that then  
require all the party representatives to vote as decided this means  
that some of the party representatives may have to vote against their  
will. The party is allowed to wield power but part of the  
representatives will wild the power against themselves. The party has  
power but the representatives and supporters would in some cases be  
hurt by this power (maybe the alternative that lost had majority  
support among (all) the representatives and voters). The party won  
but maybe not all of its representatives and supporters.


I guess the basic idea behind party discipline is that this way the  
party is able to reach a better negotiation position. A party that is  
internally split 50%-50% on some question can still do horse trading  
and agree with some other party to support that party in this vote if  
that party will support this this party in some future vote. The  
power of the parties now follows the power measurement schemes  
instead of votes = power. But in principle parties that together  
have sufficient majority may take a dictator role. It is hard to  
design systems that would eliminate the possibility of this kind of  
party negotiation level voting discipline (if one party can do this,  
why not a group of parties too).


Voting methods that would take the power measurement aspects into  
account may give more power to the small parties in order to allow  
them to decide more than they would otherwise be allowed to. This  
could lead to a strategic for the big parties to split at least  
formally but still after the elections use strong party discipline  
that would now cover all the party fragments.


How about using the more traditional votes = seats method and  
discouraging the use of the party discipline? That could be just a  
recommendation, or maybe a rule that would ban disciplinary actions  
towards representatives that have voted against the party majority  
opinion. One approach would be to introduce more structure in the  
party structure. I have few times promoted the idea of allowing a  
tree like structure within the parties (and between them too). That  
would make it easier to the right or green wing of a party to vote  
differently than the rest of the party (they could feel close to  
being required to do so in some right or green situations).


Also methods that do not rely on the party structure (e.g. STV) are  
more likely to lead to a having representatives that will make  
independent decisions, maybe sometimes working together with other  
right wing representatives, sometimes together with other greenish  
representatives etc.


I'm not aware of methods that would take some of the power  
measurement formula into account.


I welcome multi-winner discussions. No need and no reason to limit  
the discussions to the single-winner theme. (What would be the reason  
to do so? Often single-winner and multi-winner systems are  
alternatives to each others = both needed to cover the field properly.)


Juho


On Sep 21, 2007, at 18:22 , Howard Swerdfeger wrote:

I know that this list is primarily single winner elections but I  
thought
  given the low volume as of late a slight change of topic would be  
welcome.


with that, I was wondering about multi winner elections. specifically
the  parliamentary kind typical of most former British colonies.

Do to the inadequacies of the FPTP system in creating a government  
many
of these countries are looking at alternative systems, New Zealand  
moved

to MMP, Scotland as well, BC tried to once, and will try again move to
STV, Ontario is looking at MMP.

The drive behind thes moves it usually that the old system fails to
translate votes