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Hi bunch,<br>
<br>
this mail oriented me toward a nother subject I like:<br>
Measuring satisfaction among voters.<br>
<br>
When comparing the result to the possible candidates, one<br>
can determine its level of satisfaction by the proportion of<br>
candidates elected compared to the number that received <br>
support form the voter.<br>
<br>
In FPTP, each voter is either fully satisfied or fully unsatisfied.<br>
Hence the global satisfaction rate is the average of the ballot<br>
fraction received by each elected member.<br>
<br>
With a multi-seat method, the same technic can be applied for each
specific<br>
group of voters who agree on the same elected members, counting<br>
a fraction of satisfaction proportional to the ratio of elected/wanted
representativ.<br>
For example, with 3 available seats and ten candidates (A to J), let's
analyse<br>
the global satisfaction:<br>
<br>
45% of voters : A > B > C > J> ...<br>
5% of voters: B > C > A > J > E > ...<br>
30% of voters: G > H > I > A > C > J > ...<br>
20% of voters: J > A > B > ...<br>
Outcome A, B and C elected.<br>
(this is a typical STV outcome)<br>
<br>
Thus the first 50% (45%+5%) are fully satisfied: 100%<br>
The 30% are not satisfied: 0%<br>
The 20% got 2 elected representative among their 3 first candidates:
66.6% of satisfaction.<br>
Global satisfaction: 50% x 100% + 20% x 66.6% = 63.3%<br>
<br>
Using another method (approbation with the cut-off at ... for example):<br>
Outcome A (100%), J (100%), C(80%).<br>
Establishing satisfaction at this point is more complex I admit.<br>
Some will argue that with approbation philosophy 100% satisfaction is
reached<br>
when the 3 elected are among the approved candidates. Ranking partisans
will<br>
argue that the preference ordering still exist and only the first 3
preference should be considered<br>
for a fair comparison between systems. <br>
I am an in-betweener: sometimes we don't have the detail of the
preferences (a real approval ballot does not give<br>
this information) but on the other way approving 10 person and having
my 8th, 9th and 10th picks elected would not fully<br>
satisfy me. Thus I split equally satisfaction among each apporved
candidates: 4 approved candidates => 25% satisfaction each.<br>
The average reflects my understanding of the measurement.<br>
<br>
Satisfaction of the 45% group: 75%<br>
Satisfaction of the 5% group: 60%<br>
Satisfaction of the 30% group: 50%<br>
Satisfaction of the 20% group: 66.6%<br>
Global satisfaction: 45% x 75% + 5% x 60% + 30% x 50% + 20% x 66.6% =
65.1%<br>
<br>
The best electoral system should maximize global satisfaction.<br>
In this particular example: Approval gives a better result than STV.<br>
I invite you to measure satisfaction with your preferred multi-winner
method.<br>
SPPA (my favorite) produces high satisfaction levels.<br>
<br>
Stéphane<br>
<br>
Kevin Venzke a écrit :
<blockquote cite="mid503261.470.qm@web23315.mail.ird.yahoo.com"
type="cite">
<pre wrap="">Hi,
--- Howard Swerdfeger <a class="moz-txt-link-rfc2396E" href="mailto:electorama.com@howard.swerdfeger.com"><electorama.com@howard.swerdfeger.com></a> a écrit :
</pre>
<blockquote type="cite">
<pre wrap="">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.
<a class="moz-txt-link-freetext" href="http://en.wikipedia.org/wiki/Banzhaf_Power_Index">http://en.wikipedia.org/wiki/Banzhaf_Power_Index</a>
<a class="moz-txt-link-freetext" href="http://en.wikipedia.org/wiki/Shapley-Shubik_power_index">http://en.wikipedia.org/wiki/Shapley-Shubik_power_index</a>
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?
</pre>
</blockquote>
<pre wrap=""><!---->
I find this question very interesting... But I am guessing that you don't
have many allocation possibilities, especially with a small number of
factions.
Another thing: I guess it wouldn't be cloneproof. Say there's normally
only three parties and everybody votes for a party list. I guess a
party could gain an advantage by running two lists instead of one.
Kevin Venzke
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</pre>
</blockquote>
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