[EM] Student government - what voting system to recommend?
Howard Swerdfeger
electorama.com at howard.swerdfeger.com
Wed Apr 25 07:10:48 PDT 2007
Abd ul-Rahman Lomax wrote:
> At 06:41 PM 4/24/2007, Juho wrote:
>>> If you vote Approval style, you fail to express your true
>>> appreciation of the candidates, and this can backfire.
>> Yes, but typically/statistically Approval strategy improves the outcome.
>
> No. Check out Warren's simulations. Sincere voting (which means
> expressing weak preferences as weak votes) produces the best
> outcomes. Approval style produces acceptable outcomes, relative to
> some other methods.
You are making assumptions about what is "best".
On a side note: I still have not found the definition of the Individual
Utility Function used in the simulations talked about at 'rangevoting.org'.
I am willing to accept there Society Utility function as the Sum of
Individual Utilities. Did they use U(v, c) = 1/R? Or did they use
something else? how does the choice of the Utility function affect the
simulation results.
>>> I say that we are not going to really know until we see real
>>> elections using Range. The alleged devolution to Approval is not a
>>> serious harm. It would only mean that some ballot space and a
>>> counting effort had been wasted.
>> Yes, Range could be roughly as good as Approval (with some wasted
>> effort, and ability to cast weak votes). The biggest hiccups might
>> come in the form of people realizing that their vote was weak
>> although they didn't understand that when they voted, or if some
>> candidate won as a result of efficient use of strategic voting.
>
> That actually doesn't happen easily under Range (the latter).
> Basically, the most "efficient" strategy for winning is to get as
> many of your supporters as possible to bullet-vote for you. However,
> this can backfire, if you offend those who might otherwise like you
> but consider your recommendation that you vote against your favorite
> to be quite offensive. I know it would offend me!
Then how do you explain Voting cards!
http://www.australianpolitics.com/images/qld/2001-htv-cook.jpg
They are the an emergence of candidates telling voters how to vote.
>
> Can you imagine how it would look of a candidate steps in front of
> the cameras and says: "Don't vote sincerely, it might cause me to
> lose. Vote only for me!"
>
> Political suicide, that's what it would be, if the election were
> Range. Instead, candidates, as now, will simply try to convince
> voters that they are the best, and it is possible, but not certain,
> that they will refrain, a little more, from trying to tear down their
> opponents, for fear of alienating their supporters and thus losing those votes.
>
>>>> Rating the least preferred candidate at 0 reduces the probability of
>>>> that candidate getting elected (and doesn't carry any risks with it).
>>> But from the conditions of the problem, there was no risk of that.
>>> No, I don't buy it. (By the way, none of us involved with Range
>>> would recommend giving the "least preferred candidate" any other
>>> vote than the minimum. I assumed that PW was being given a 1
>>> because voters somewhat liked him, there were *worse* candidates
>>> involved.
>> There were no worse candidates involved. The voter liked PW somewhat.
>> But since PW was the least liked candidate and the voter wanted to
>> avoid electing him, giving him 0 was a perfect solution. (I thus used
>> sincere utility based ratings instead of normalized ones.)
>
> And this is correct voting! Basically, the supposed "sincere" votes
> from which the method devolved into Approval were ignorant votes. I'd
> really suggest that ballot instructions be explicit, suggesting that
> you vote the max for your favorite, the min for your least preferred,
> and whatever you want for the rest.... Range votes are *relative*
> votes. If there were a dozen candidates, and all were quite well
> qualified, we still need to pick one and we will want to pick the
> best. To get good information from the voters, we need them to
> normalize their votes. Otherwise, the necessary resolution is lost.
> If on some absolute scale, all the candidates are 10s, on what basis
> would we choose between them?
>
> No, Range is about *relative* utility. But I prefer to think of voter
> satisfaction. It is about rating candidates as to how satisfied you
> will be if they are elected, with max rating meaning maximally
> satisfied, and min rating meaning maximally dissatisfied. Relatively
> speaking. You might actually be satisfied in an absolute sense with
> any of them, or with none of them.
>
>>> But this contradicts the assumed initial sincere vote! If you want
>>> this, why would you vote A=9, B=8 in the first place? By voting
>>> this way, you are saying that B winning is almost as satisfactory
>>> to you as A winning!
>> The voter voted originally sincerely since voters were given the
>> impression that they should write one's sincere preferences on the
>> ballot.
>
> The ballot instructions were, "Write your sincere preferences on the ballot"?
>
> When you vote a ranked ballot, and some systems require full ranking,
> you are putting one candidate at the top and one at the bottom. Some
> allow you to put more than one in each of these positions, or in
> intermediate positions. The method essentially normalizes your vote,
> making it equivalent to a range of 0% to 100% in Range. But ranked
> methods don't consider preferences strength, though some impute it,
> in a way, by considering "defeat strength."
>
>> Candidate B winning would be quite satisfactory to this
>> voter. The voter however wants to make A the winner if he can choose
>> between A and B. If A and B were the only candidates, voting A=max,
>> B=min would be also risk free.
>>
>>> I think that people can and will understand that democracy is often
>>> about making compromises. It is *not* about crushing the opposition!
>> I agree, but competitiveness exists despite of this, and that may
>> lead to voting with maximum power etc.
>
> Range limits "maximum power" to one vote per voter. And we recommend
> and generally assume that all voters, with rare exceptions, will vote
> with maximum power. That is, they will rank one max and one min and
> they will array the others as they choose. This is maximum power. It
> won't "lead" to this condition, this *is* Range.
>
>
>>> "Vote -1 to vote against a candidate, vote +1 to vote for the
>>> candidate, and vote zero or leave a candidate unrated to have an
>>> intermediate effect. The candidate with the greatest sum of votes
>>> will win."
>> Note that negative votes carry some risks.
>
> The issue here is where the default vote is for abstentions. The
> standard in original Range proposals was that it was zero,
> effectively. Average vote disregards abstentions, which is its own
> problem and requires a "quorum rule" to avoid obvious bad outcomes.
> Using negative votes is a means of making the default be other than
> zero, that's all. The range I suggested makes the default be midrange.
>
>
>> Let's say there are three
>> major parties with one candidate each, and many totally unknown
>> candidates. All major parties are afraid of each others and will give
>> lots of negative votes to both competing party candidates. The sum of
>> all major party candidates may go below 0.
>
> This situation is a setup for a bad outcome. Be careful not to blame
> the voting method for the total disarray and disunity of the
> electorate! Given the setup, it is not clear that there is *any* good outcome!
>
>> Some unknown candidate is
>> mentioned only in very few ballots (let's say his/her family members
>> supporting and one neighbour opposing). His score will however be
>> positive and he will be elected, not the well known candidates whose
>> score was negative.
>
> That's correct. But something was totally neglected in this analysis.
> That candidate is only going to have a couple of votes above zero.
> But the conditions were that there were *many* candidates. Surely
> there is at least one of them who is well-enough known and
> well-enough liked that the candidate gets more than a couple of votes!
>
> Really, if it is true that there are more people in a society opposed
> to a candidate than favor him or her, do you think the candidate
> should be elected! There is a simple solution to the problem given,
> which is a ratification step or runoff. (Not a top-two runoff, but a
> runoff between, say, the votes analyzed as sum and the votes analyzed
> as raw, abstentions zero.)
>
> The problem, if it is a problem -- I'm not sure it is -- could be
> addressed by setting the default lower:
>
> -1: Disliked
> 0: Acceptable
> 1: Good
> 2: Preferred.
>
> Or, alternatively, the simpler Range 3 implementation with blank
> votes defined as -1/2 vote. Or perhaps even some smaller negative
> value, like -1/10. Something to reflect the value that the winner,
> preferably, should be well enough known that the candidate is rated
> by most voters.
>
> This is a question regarding how to treat blank votes. It's an
> unresolved issue among Range advocates.
>
>
>
>
>
>
>
>
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>
>
>>> [I suggested that there be a runoff between the Range winner and a
>>> Condorcet winner, if they differ]
>>>> Let's assume that a Condorcet winner exists. In this case this method
>>>> could be said to be a method where the voters are given a second
>>>> chance to think again if the Range winner could be seen as a "good
>>>> compromise" even though the majority could easily vote as in the
>>>> first round and elect the Condorcet winner.
>>> Yes. That is, the original ballot analysis showed that this C.
>>> winner was rated higher than the Range winner on a majority of
>>> ballots.
>>>
>>>> I'm not sure this method
>>>> would be a very practical method in real life large elections but in
>>>> principle the idea of "recommending" the Range winner to the voters
>>>> is a positive idea. Some strategies where people would try to
>>>> influence who the Range winner will be could take place (i.e. the
>>>> Range winner of the second round would not be the sincere range
>>>> winner).
>>> I think Juho means that the Range winner of the *first* round would
>>> not be the sincere Range winner. If there is a second round, it is
>>> not held as a Range election. It is a straight which-of-these-two-
>>> shall-be-elected vote. Voters will know, this time, if the first
>>> election was sincere, which candidate will be most broadly
>>> acceptable. Which is more important to them, for their preference
>>> to win or for the most broadly acceptable candidate to win?
>>> Majority rule.
>>>
>>> I'd suggest that if their preference was weak, the majority might
>>> prefer the Range winner, on reflection. But if their preference was
>>> strong, they might insist upon it.
>> If the first round votes were sincere the Condorcet winner will be
>> preferred over the Range winner by majority (since the definition of
>> Condorcet winner says so). The Range winner would however be better
>> if measured as sum of satisfaction of the voters (if that is what the
>> voters marked in the ballots). The opinions could however change
>> before the second round as a result of publishing the fact that there
>> was a Range winner that was different from the Condorcet winner, and
>> the range winner could be supported by a majority at the second round
>> (depends on the level of competitiveness etc.).
>>
>> Juho
>>
>>
>>
>>
>>
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