Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Jobst Heitzig
Dear Greg,

I will focus on the question of majoritarianism in this message.

First my working definition of "majoritarian method": A method is majoritarian 
if for every option X and every group G consisting of more than half of the 
voters, there is a way of voting for G which makes sure X wins regardless of 
how the voters outside G vote. In other words: Any majority can overrule the 
rest if that majority votes in a certain way. 

Now for the discussion. I said:
> That leads me to the main problem with Range (as with any other 
> majoritarian method): It is simply not democratic. It cannot be 
> because every majoritarian method gives 100% of the power to less 
> than 100% of the people (the "demos" in greek). Often, about 60% of 
> the people can consistently impose their will on the other 40% 
> without the latter being given any means at all by the majoritarian 
> method to influence the decision. Of course, this is a problem of 
> most popular election methods, but that does not mean the problem 
> cannot be solved. Democratic decisions are possible but not with 
> majoritarian methods.

To which you replied:
> Interesting point. I would argue that a compromise candidate is 
> better than a polarizing but barely passing candidate (like FPTP with 
> primaries tends to produce). I'd say this isn't a voting-issues 
> question, but a civil rights question. A nice constitution will help 
> protect you from tyranny of the majority.

While of course civil rights are very important to make sure that no-one's 
basic *rights* are violated, they cannot make sure that everybody's 
*preferences* are have a fair chance of influencing decisions that are made 
*within* the limits the civil rights pose.

> "Advocates of majoritarianism argue that majority decision making is 
> intrinsically democratic and that any restriction on majority 
> decision making is intrinsically undemocratic. 

I wonder how they do so. It's as simple as that: When any group of people, be 
it a single person (dictatorship) or a small group (oligarchy) or a large group 
(majoritarianism) can overrule the rest, that's not democratic since democracy 
in its main sense requires that *all* people must have a means to influence 
decisions.

> If democracy is 
> restricted by a constitution which cannot be changed by a simple 
> majority decision then yesterday's majority is being given more 
> weight than today's; 

We may later discuss shifting majorities, but please let us first continue 
discussing a single decision since that is complicated enough.

You continue to ask:
> ... if not the majority, then who decides? 

Simple answer, contained in the definition of "democracy": It's not a subgroup 
of the voters which decides but its *all* voters who decide.

I guess your real question is not who decides but how they do it.

> If you 
> delegate the responsibility to some group (even yourself) to judge 
> what is best for society, then you are imposing your will on people.

Right. That would be much worse. But essentially majoritarianism *does* 
delegate the decision to some group (the majority that finally overrules the 
rest). The only difference is that it does not prescribe who belongs to this 
group. Rather, any willing majority can establish itself as this deciding 
group. But this is not much better because some group overrules the rest 
anyway. The whole point of democracy is that *no* group can overrule the rest, 
neither a predefined group nor a group that establishes itself as a majority. 

> Arguments both for and against majoritarianism both tend to boil down 
> to rights. Do you have the right to non-interference from the 
> majority? Does the majority have the right to non-interference from 
> you? 

Please don't shift the focus. The question is not whether some group can 
intefere but whether some group can overrule. So, the right everyone should 
have is the right not to be overruled by a majority without my preferences 
having any chance to influence the result.

Probably you still think, how on earth could this be achieved? But it is very 
easy to see that real democratic decisions are possible. Just imagine everyone 
marks their favourite option and then a ballot is drawn at random to decide the 
winner. Of course I don't suggest to use this method called Random Ballot. It 
is only to illustrate that the requirement of "democracy" can be met. 

The real task now is to find methods which are not only democratic but also 
satisfy other criteria (like anonymity, neutrality, monotonicity, 
clone-proofness etc.) and are efficient in electing good compromise options. 
This is achieved by the methods D2MAC and FAWRB for example - you make look 
them up in the archives.

Yours, Jobst


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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Jobst Heitzig
Dear Raph,

you replied to me:
> > That leads me to the main problem with Range (as with any other majoritarian
> > method): It is simply not democratic. It cannot be because every
> > majoritarian method gives 100% of the power to less than 100% of the people
> > (the "demos" in greek).
> 
> They do have an equal vote.  The move the median in their direction.

First, what does an "equal vote" help when the other group (the majority) can 
elect whomever they want regardless of what you do? Nothing.

And, the median claim is plain wrong: When you're already on one side of a 
median, moving further away from it does never change that median. Basic 
statistics.

> However, you do get degenerate societies where there is a majority
> that is a bloc.
> 
> In Northern Ireland, for example, the Unionists have a majority.  This
> led to discrimination of the Nationalist minority.

That's exactly my point. There are lots of such examples which all show clearly 
that majoritarianism is not democratic.

> The problem with this majority is that it is solid and unchanging.
> 
> Ideally, majority should just mean the group of more than 50% on a
> particular issue.  Every person should sometimes be part of the
> majority and sometimes part of the minority.  

That doesn't help because then the majority on issue A will still overrule the 
rest in every single decision on that issue. So a compromise option for that 
issue will have no chance.

> If a certain group of
> people are always part of the minority, then this leads to a poorly
> functioning society.  

A split society will only function poorly when a majoritarian method is used. 
When they use a method like FAWRB instead, they will function well because then 
they will care what the other faction wants, will try to devise good compromise 
options, and will vote in a way which makes sure the good compromises are 
elected instead of the random ballot result. This is possible *precisely* 
because with a non-majoritarian method the majority cannot simply ignore the 
minority but has to figure out how to get them to approve a compromise that is 
sufficiently near to their favourite. Non-majoritarian methods encourage 
discourse and cooperation.

> Germany has 'eternal' provisions.  Some amendment proposals can be
> blocked by their Constitutional Court.  This I think is undemocratic.
> The eternal provisions relate to fundamental rights, which is their
> reasoning.

The reason why we have such should be obvious from history. It saves us for 
example from such restrictions of civil rights our American fellows experience 
since 9/11.

> Someone wrote:
> > Then let me challenge you right away: I don't understand at all what those
> > numbers a range-ballot asks me for are supposed to mean. They are not
> > explained but instead it is simply assumed naively that each voter will be
> > able to assign meaningful numbers to options.

That someone was me.
 
Yours, Jobst

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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Raph Frank
On Sun, Oct 12, 2008 at 1:42 AM, Greg Nisbet <[EMAIL PROTECTED]> wrote:
> I was attempting to make a distinction between an active and a passive
> majority. Any active majority (one unwilling to make any compromises
> whatsoever, voting every non-them candidate the lowest possible score) will
> win. A passive majority (clear majority opinion, but makes compromises) will
> not necessarily win. I argue this isn't a fault because if a majority is
> passive then they can arguably be considered to support another candidate
> the percentage that they voted for him. E.g. their partial vote could be
> used to form a majority per se.

Also, they have agreed to give up their power.

> That leads me to the main problem with Range (as with any other majoritarian
> method): It is simply not democratic. It cannot be because every
> majoritarian method gives 100% of the power to less than 100% of the people
> (the "demos" in greek).

They do have an equal vote.  The move the median in their direction.

However, you do get degenerate societies where there is a majority
that is a bloc.

In Northern Ireland, for example, the Unionists have a majority.  This
led to discrimination of the Nationalist minority.

The problem with this majority is that it is solid and unchanging.

Ideally, majority should just mean the group of more than 50% on a
particular issue.  Every person should sometimes be part of the
majority and sometimes part of the minority.  If a certain group of
people are always part of the minority, then this leads to a poorly
functioning society.  Decisions are not made on the basis of what is
best, but are made on the basis of who the proposer was.

> "Advocates of majoritarianism argue that majority decision making is
> intrinsically democratic and that any restriction on majority decision
> making is intrinsically undemocratic. If democracy is restricted by a
> constitution which cannot be changed by a simple majority decision then
> yesterday's majority is being given more weight than today's;

True, constitutions cannot defend themselves and it is paternalistic
to not allow them to be changed.

Ofc, in a federation, it is a little different.  It consists of two
levels of demos(es?).  Should a majority of the federation be allowed
to change the constitution.  Perhaps, it would be allowed, but if
there is a change, there would be a process for States to withdraw.

In Ireland, the constitution can be changed by a majority.  Calling
the referendum requires a majority in the Dail (PR House).  A majority
in the Seanad (not proportional) speeds up the process but isn't
technically required.  Once the referendum is called a simple majority
is sufficient for the amendment to pass.

Germany has 'eternal' provisions.  Some amendment proposals can be
blocked by their Constitutional Court.  This I think is undemocratic.
The eternal provisions relate to fundamental rights, which is their
reasoning.

--- 'someone' wrote:
> Then let me challenge you right away: I don't understand at all what those
> numbers a range-ballot asks me for are supposed to mean. They are not
> explained but instead it is simply assumed naively that each voter will be
> able to assign meaningful numbers to options.

This is true.  I think after the first election people will get the
message to approval vote at least the top 2.

> Let's look to Australia and Ireland for evidence of the impact of IRV,
> particularly Ireland. You might have seen pictures of campaign posters
> advocating a certain person for spot #1 and others for #2 or #3. Or one
> could observe the preference-swapping agreements in Australia. This is a
> direct consequence of later no harm. The parties THEMSELVES share power with
> each other. (In spite of this, both countries have two party systems).

For the President (IRV), Ireland pretty much has a 1 party system.
Labour won once, and FF won all the other times.

Though the Dail (PR-STV) doesn't have a two party system.

The seat totals are

FF: 77
FG: 51
Lab: 20
Green: 6
SF: 4
PD: 2
Ind: 1
Ind: 1
Ind: 1
Ind: 1
Ind: 1
CC: 1 (chairman)

The effective number of parties is:
3.06

Assuming that the independents are a single party give 3.05

http://en.wikipedia.org/wiki/Effective_number_of_parties

> My best guess regarding Condorcet/Range's impact is this: the parties will
> be campaigning in the same areas more and more, trying to improve their own
> position in the same demographic. Campaigns will be less negative because
> you have more than one opponent. Attacking that opponent will help your
> rivals as well, so it's a waste of your effort. Explicit preference swapping
> agreements will be rarer under Condorcet and nonexistent under Range, but
> they will be campaigning in other parties' turf when they think they can
> improve that group's opinion of them just a little.

The same arguement can be applied to PR-STV as transfers are
essential.  However, you also need to 'lock-down' your personal
supporters, so some attacking is ne

Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Raph Frank
On Thu, Oct 16, 2008 at 3:38 PM, Jobst Heitzig <[EMAIL PROTECTED]> wrote:
>> However, you do get degenerate societies where there is a majority
>> that is a bloc.
>
> That's exactly my point. There are lots of such examples which all show 
> clearly that majoritarianism is not democratic.

The thing is that in such a case, it isn't really a single 'demos'.
It is two groups voting as one.

> That doesn't help because then the majority on issue A will still overrule 
> the rest in every single decision on that issue. So a compromise option for 
> that issue will have no chance.

You can still have compromises.

In fact, it can be helpful if multiple issues are voted as a single
unit.  This allows negotiation between factions in order to make up
the majority.

A faction can make compromises on issues that it doesn't care about in
order to get things that it does.  This requires there is no solid
bloc though.

For example, assuming there are 3 parties and 2 issues

45) A(+20) B(+10)
10) A(+1), B(-100)
45) A(-20) B(+10)

The middle group don't really care about policy A, but will be hurt
alot by policy B.

Policy A is supported by 55 to 45, so is passed.
Policy B is supported by 90 to 10, so is passed
The result is
45) +30
10) -99
45) -10
Total: -79

However, if the two policies are considered as one

Option 1: "Pass A and B"
45: +30
10: -99
45: -10

Option 2:"Pass B, but not A"
45: +10
10: -100
45: +10

Option 3: "Pass A, but not B"
45: 20
10: +1
45: -20

Option 4: "Pass neither"
45: 0
10: 0
45: 0

The best case scenario for the the 10 group is option 3.  They could
say to the top 45 that they will support policy A in exchange for
policy B being defeated.  If the top 45 refuse, then they can go to
the the bottom 45 and say they will vote against policy A in exchange
for policy B being defeated.  It is in the best interests of both to
agree.

It isn't entirely stable though.

> A split society will only function poorly when a majoritarian method is used. 
> When they use a method like FAWRB instead, they will function well because 
> then they will care what the other faction wants, will try to devise good 
> compromise options, and will vote in a way which makes sure the good 
> compromises are elected instead of the random ballot result. This is possible 
> *precisely* because with a non-majoritarian method the majority cannot simply 
> ignore the minority but has to figure out how to get them to approve a 
> compromise that is sufficiently near to their favourite. Non-majoritarian 
> methods encourage discourse and cooperation.

Sounds reasonable, the problem is that a) people don't like random
methods b) it will result in certain outlier elements in society
getting some power.

Perhaps a threshold could be set before a candidate can participate.

Each voter would be allowed to approve/disapprove the candidates and
then also cast their main vote (for the random system).  Any candidate
below 1/3 approval would be eliminated.

Alternatively, it might be a two stage system.  The first round would
reduce the candidate pool to those who have > 1/3 approval.

>
>> Germany has 'eternal' provisions.  Some amendment proposals can be
>> blocked by their Constitutional Court.  This I think is undemocratic.
>> The eternal provisions relate to fundamental rights, which is their
>> reasoning.
>
> The reason why we have such should be obvious from history. It saves us for 
> example from such restrictions of civil rights our American fellows 
> experience since 9/11.

It doesn't have to be easy to change, but it should be changable.

For example, it might be required to pass 3 referenda with at least 5
years between any 2 and if any fail, it has to start from the
beginning again.  This means that it takes 10 years minimum to change.

Also, the citizens of the US didn't get to vote on the restrictions of
civil rights directly.  It was handled by Congress.

> That someone was me.

Sorry, Greg didn't include your name in his post (or I couldn't find it).

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Jobst Heitzig

Hi Terry,

although FAWRB can be found in the lists archives, I use the opportunity 
to give the current definition of ...



My favourite version of
FAWRB (Favourite or Approval Winner Random Ballot)
--

1. Each voter rates each option as either "harmful", "not agreeable", 
"agreeable", "good compromise" or "favourite", the default being 
"agreeable". Only one option may be marked "favourite".


2. Those options which are rated "harmful" by more than, say, 90% of 
voters get excluded. (This security provision is only necessary when 
there is danger of really harmful options which are not already excluded 
by other mechanisms)


3. That options which is rated "agreeable" or better on the largest 
number of ballots is the "nominated" option.


4. A die is tossed. If it shows a six, 15 ballots are drawn at random, 
otherwise only 3 ballots.


5. If the "nominated" option is rated "good compromise" or better on all 
those ballots, it wins. Otherwise wins the option rated "favourite" on 
the first of the drawn ballots.


(Some unimportant details for tie breaking need to be added)


Although this seems pretty much randomness, my claim is that in 
practise, it will actually not be very random since opposing factions 
will cooperate in electing good compromise options with very high 
probability.


In my 55/45-example of
  55% of voters having A 100 > C 80 > B 0 and
  45% of voters having B 100 > C 80 > A 0,
the strategic equilibrium under FAWRB is when
  the first 55% vote A "favourite", C "good compromise", B "bad" and
  the other 45% vote B "favourite", C "good compromise", A "bad"
in which case C is the sure winner without any randomness involved. This 
is because no voter gains anything in rating C lower.



If you want to try FAWRB, you can use this demo which even adds a 
delegable proxy component to it: http://62.75.149.22/groucho_fawrb_dp.php


Yours, Jobst



Terry Bouricius schrieb:

What does "FAWRB" stand for?

Terry Bouricius

- Original Message ----- 
From: "Jobst Heitzig" <[EMAIL PROTECTED]>
To: "Greg Nisbet" <[EMAIL PROTECTED]>; "Raph Frank" 
<[EMAIL PROTECTED]>

Cc: 
Sent: Thursday, October 16, 2008 10:38 AM
Subject: Re: [EM] Range Voting vs Condorcet (Greg Nisbet)


Dear Raph,

you replied to me:
That leads me to the main problem with Range (as with any other 
majoritarian

method): It is simply not democratic. It cannot be because every
majoritarian method gives 100% of the power to less than 100% of the 
people

(the "demos" in greek).

They do have an equal vote.  The move the median in their direction.


First, what does an "equal vote" help when the other group (the majority) 
can elect whomever they want regardless of what you do? Nothing.


And, the median claim is plain wrong: When you're already on one side of a 
median, moving further away from it does never change that median. Basic 
statistics.



However, you do get degenerate societies where there is a majority
that is a bloc.

In Northern Ireland, for example, the Unionists have a majority.  This
led to discrimination of the Nationalist minority.


That's exactly my point. There are lots of such examples which all show 
clearly that majoritarianism is not democratic.



The problem with this majority is that it is solid and unchanging.

Ideally, majority should just mean the group of more than 50% on a
particular issue.  Every person should sometimes be part of the
majority and sometimes part of the minority.


That doesn't help because then the majority on issue A will still overrule 
the rest in every single decision on that issue. So a compromise option 
for that issue will have no chance.



If a certain group of
people are always part of the minority, then this leads to a poorly
functioning society.


A split society will only function poorly when a majoritarian method is 
used. When they use a method like FAWRB instead, they will function well 
because then they will care what the other faction wants, will try to 
devise good compromise options, and will vote in a way which makes sure 
the good compromises are elected instead of the random ballot result. This 
is possible *precisely* because with a non-majoritarian method the 
majority cannot simply ignore the minority but has to figure out how to 
get them to approve a compromise that is sufficiently near to their 
favourite. Non-majoritarian methods encourage discourse and cooperation.



Germany has 'eternal' provisions.  Some amendment proposals can be
blocked by their Constitutional Court.  This I think is undemocratic.
The eternal provisions relate to fundamental rights, which is their
reasoning.


The reason why

Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Jobst Heitzig

Dear Raph,

you wrote:
The thing is that in such a case, it isn't really a single 'demos'. 
It is two groups voting as one.


Do you mean to say democracy is only for societies which are
sufficiently homogeneous?




That doesn't help because then the majority on issue A will still
overrule the rest in every single decision on that issue. So a
compromise option for that issue will have no chance.


You can still have compromises.


Only if the majority for some reason prefers to elect the compromise
than their favourite. But in that it seems the "favourite" was just not
the true favourite of the majority but the compromise was. So, still the
minority has no influence on the decision but can only hope that the
majority is nice enough to decide for the compromise.

In fact, it can be helpful if multiple issues are voted as a single 
unit.  This allows negotiation between factions in order to make up 
the majority.


This common behavious is a pretty artificial construct to overcome the
discussed drawbacks of majoritarian rules.


A faction can make compromises on issues that it doesn't care about
in order to get things that it does.  This requires there is no solid
 bloc though.


And when both factions care about both issues?


A split society will only function poorly when a majoritarian
method is used. When they use a method like FAWRB instead, they
will function well because then they will care what the other
faction wants, will try to devise good compromise options, and will
vote in a way which makes sure the good compromises are elected
instead of the random ballot result. This is possible *precisely*
because with a non-majoritarian method the majority cannot simply
ignore the minority but has to figure out how to get them to
approve a compromise that is sufficiently near to their favourite.
Non-majoritarian methods encourage discourse and cooperation.


Sounds reasonable, the problem is that a) people don't like random 
methods b) it will result in certain outlier elements in society 
getting some power.


a) FAWRB is not a random but a very specific and quite sophisticated
method. It only uses a certain amount of chance, just as many things in
our life do. Chance should not be mixed up with arbitrariness. Used in a
rational way, FAWRB will usually elect good compromise options with near
certainty, not leading to significant amounts of randomness.


Perhaps a threshold could be set before a candidate can participate.


Yes, I agree. The version I just proposed to Terry incorporates such a
threshold.


Also, the citizens of the US didn't get to vote on the restrictions
of civil rights directly.  It was handled by Congress.


Using majority rule?


That someone was me.

Sorry, Greg didn't include your name in his post (or I couldn't find
it).


No need to be sorry.

Yours, Jobst

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Diego Santos
Jobst,

2008/10/16 Jobst Heitzig <[EMAIL PROTECTED]>

> Dear Raph,
>
> you wrote:
>
>> The thing is that in such a case, it isn't really a single 'demos'. It is
>> two groups voting as one.
>>
>
> Do you mean to say democracy is only for societies which are
> sufficiently homogeneous?
>
>
>>  That doesn't help because then the majority on issue A will still
>>> overrule the rest in every single decision on that issue. So a
>>> compromise option for that issue will have no chance.
>>>
>>
>> You can still have compromises.
>>
>
> Only if the majority for some reason prefers to elect the compromise
> than their favourite. But in that it seems the "favourite" was just not
> the true favourite of the majority but the compromise was. So, still the
> minority has no influence on the decision but can only hope that the
> majority is nice enough to decide for the compromise.
>
>  In fact, it can be helpful if multiple issues are voted as a single unit.
>>  This allows negotiation between factions in order to make up the majority.
>>
>
> This common behavious is a pretty artificial construct to overcome the
> discussed drawbacks of majoritarian rules.
>
>  A faction can make compromises on issues that it doesn't care about
>> in order to get things that it does.  This requires there is no solid
>>  bloc though.
>>
>
> And when both factions care about both issues?
>
>  A split society will only function poorly when a majoritarian
>>> method is used. When they use a method like FAWRB instead, they
>>> will function well because then they will care what the other
>>> faction wants, will try to devise good compromise options, and will
>>> vote in a way which makes sure the good compromises are elected
>>> instead of the random ballot result. This is possible *precisely*
>>> because with a non-majoritarian method the majority cannot simply
>>> ignore the minority but has to figure out how to get them to
>>> approve a compromise that is sufficiently near to their favourite.
>>> Non-majoritarian methods encourage discourse and cooperation.
>>>
>>
>> Sounds reasonable, the problem is that a) people don't like random methods
>> b) it will result in certain outlier elements in society getting some power.
>>
>
> a) FAWRB is not a random but a very specific and quite sophisticated
> method. It only uses a certain amount of chance, just as many things in
> our life do. Chance should not be mixed up with arbitrariness. Used in a
> rational way, FAWRB will usually elect good compromise options with near
> certainty, not leading to significant amounts of randomness.
>

But randomness of FAWRB can cause institutional conflicts, especially if the
minority faction leader was the winner. My suggestion if your scenario
exists is:

1. Perform simultaneously an approval election  and a PR election for an
electoral college
2. If the approval winner has approval higher than a threshold (e.g. 2/3),
s(he) is elected.
3. Otherwise the electoral college performs a multi-round approval election
until some candidate has a score higher than the threshold.

Communication and cooperation are easier in a small electoral college than
in a large electorate.


>
>  Perhaps a threshold could be set before a candidate can participate.
>>
>
> Yes, I agree. The version I just proposed to Terry incorporates such a
> threshold.
>
>  Also, the citizens of the US didn't get to vote on the restrictions
>> of civil rights directly.  It was handled by Congress.
>>
>
> Using majority rule?
>
>  That someone was me.
>>
>> Sorry, Greg didn't include your name in his post (or I couldn't find
>> it).
>>
>
> No need to be sorry.
>
> Yours, Jobst
>
> 
> Election-Methods mailing list - see http://electorama.com/em for list info
>



-- 

Diego Renato dos Santos
Mestrando em Ciência da Computação
COPIN - UFCG

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Jobst Heitzig

Dear Diego,

But randomness of FAWRB can cause institutional conflicts, especially if 
the minority faction leader was the winner. 


My focus has always been to decide issues, not to elect people.

> My suggestion if your

scenario exists is:

1. Perform simultaneously an approval election  and a PR election for an 
electoral college
2. If the approval winner has approval higher than a threshold (e.g. 
2/3), s(he) is elected.
3. Otherwise the electoral college performs a multi-round approval 
election until some candidate has a score higher than the threshold.


OK, we need a game-theoretic analysis of this. My guess is that because 
of the multi-round provision there is the danger of not getting a 
decision in any predetermined fixed time. Also, there are probably a 
number of strategic equilibria and it so the impact of my vote will be 
difficult to foresee.


And, what is most important: It does not solve the problem at all, it 
only shifts the threshold for overruling the minority from 1/2 to 2/3. 
That's still not nearly democratic. You may suggest a much higher 
threshold, but then I guess no decision will be made at all...


Yours, Jobst

Election-Methods mailing list - see http://electorama.com/em for list info


Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Diego Santos
Jobst,

2008/10/16 Jobst Heitzig <[EMAIL PROTECTED]>

> Dear Diego,
>
>  But randomness of FAWRB can cause institutional conflicts, especially if
>> the minority faction leader was the winner.
>>
>
> My focus has always been to decide issues, not to elect people.


 The risk of minority will remains. How does FAWRB perform in binary issues?

>
>
> > My suggestion if your
>
>> scenario exists is:
>>
>> 1. Perform simultaneously an approval election  and a PR election for an
>> electoral college
>> 2. If the approval winner has approval higher than a threshold (e.g. 2/3),
>> s(he) is elected.
>> 3. Otherwise the electoral college performs a multi-round approval
>> election until some candidate has a score higher than the threshold.
>>
>
> OK, we need a game-theoretic analysis of this. My guess is that because of
> the multi-round provision there is the danger of not getting a decision in
> any predetermined fixed time.


If a consensus exists between the factions, then this danger would be too
rare. There`s no gain for any faction to leave the issue undecided.

Also, there are probably a number of strategic equilibria and it so the
> impact of my vote will be difficult to foresee.
>
> And, what is most important: It does not solve the problem at all, it only
> shifts the threshold for overruling the minority from 1/2 to 2/3. That's
> still not nearly democratic. You may suggest a much higher threshold, but
> then I guess no decision will be made at all...


Not always we can find an unanimity...



-- 

Diego Renato dos Santos

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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Greg Nisbet
Dear Jobst,


> I will focus on the question of majoritarianism in this message.
>
> First my working definition of "majoritarian method": A method is
> majoritarian if for every option X and every group G consisting of more than
> half of the voters, there is a way of voting for G which makes sure X wins
> regardless of how the voters outside G vote. In other words: Any majority
> can overrule the rest if that majority votes in a certain way.



Group membership is difficult to define. With ranked ballots it's simple,
but in the majority criterion debate, I argue that a score of 60% represents
60% of a first preference, not the preference between 59% and 61%. Range is
also majoritarian in the sense that a majority can impose its will on
people. This is not true of, say, Borda. So in short, the majority criterion
as most people define it is not even applicable to Range Voting, as we have
not settled the issue of simultaneous majorities. This might seem overly
technical and missing the point, but as long as we are arguing about whether
it satisfies the nominal property and the value of that, such it will
remain.

>
>
> Now for the discussion. I said:
> > That leads me to the main problem with Range (as with any other
> > majoritarian method): It is simply not democratic. It cannot be
> > because every majoritarian method gives 100% of the power to less
> > than 100% of the people (the "demos" in greek). Often, about 60% of
> > the people can consistently impose their will on the other 40%
> > without the latter being given any means at all by the majoritarian
> > method to influence the decision. Of course, this is a problem of
> > most popular election methods, but that does not mean the problem
> > cannot be solved. Democratic decisions are possible but not with
> > majoritarian methods.
>
> To which you replied:
> > Interesting point. I would argue that a compromise candidate is
> > better than a polarizing but barely passing candidate (like FPTP with
> > primaries tends to produce). I'd say this isn't a voting-issues
> > question, but a civil rights question. A nice constitution will help
> > protect you from tyranny of the majority.
>
> While of course civil rights are very important to make sure that no-one's
> basic *rights* are violated, they cannot make sure that everybody's
> *preferences* are have a fair chance of influencing decisions that are made
> *within* the limits the civil rights pose.
>
>
Let me explain my point. I set the bar fairly high for tyranny of majority
i.e. it must constitute actually oppressing me and not merely annoying or
inconveniencing me to be labelled tyranny. Belligerence of the majority is
another issue entirely. You may say where do you draw the line, but just
hear me out. You talk about the destruction of democracy. That democracy is
an all-or-nothing type thing. I am arguing that a good constitution will
prevent a majority from acting in such a way that democracy itself is
subverted. If you argue instead that suboptimal results come about, yes I
agree with you. I advocate Range Voting after all. I too find belligerence
of the majority annoying and unhelpful.

As for the fair shot argument, I have no idea what fair shot actually means.
It is possible, with minimal computation, to determine a Range ballot that
will achieve a specific purpose given necessary information. It is
significantly more challenging/sometimes impossible for the same to be done
with something like IRV (or other iterative methods).

Again, you speak about actively preventing the majority from doing something
that violates the rights of minority. Such cannot be prevented by any voting
method! You speak of comparing utility in this case, voting methods at best
can only simulate this. Preventing tyranny must include some immutable
principles lest the principles that prevent tyranny be abolished. That isn't
democratic. It's useful, very useful, but not democratic. Voting methods
differ in their ability to elect winners best for society, but I guess you
already know that.


>
> > "Advocates of majoritarianism argue that majority decision making is
> > intrinsically democratic and that any restriction on majority
> > decision making is intrinsically undemocratic.
>
> I wonder how they do so. It's as simple as that: When any group of people,
> be it a single person (dictatorship) or a small group (oligarchy) or a large
> group (majoritarianism) can overrule the rest, that's not democratic since
> democracy in its main sense requires that *all* people must have a means to
> influence decisions.


This discussion of what democracy is and is not does not appear to be
leading anywhere. I'll answer this claim by saying that the majority is not
disenfranchising the rest of the people. It means that majority opinion is
the most reliable barometer of utility. I disagree, but don't misunderstand
the point. The current majority is the current optimal result is the point.

>
>
> > If democracy is
> > restricted by

Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-16 Thread Dave Ketchum
These majorities, as described, seem close to identical twins, with little, 
if any, ability for individual thinking.


Plurality promotes closeness for two major factions.
 Voters have painful decisions which can result in real, if painful, 
party strength - they cannot both back party choices and back other candidates.


Condorcet is an example of providing flexibility.
 Voters can back whatever combination of home party/faction and other 
candidates they choose.

 Backing home party helps it continue its power.
 Backing others helps change, and how this is or is not progressing is 
partly reported in the N*N arrays from Condorcet elections.


With Condorcet there is more opportunity for controlled change and 
parties/factions can see from the N*N reports what the voting suggests they 
had better change for continued success.


What follows inspired my thoughts.

DWK

On Thu, 16 Oct 2008 20:58:10 +0200 Jobst Heitzig wrote:

Dear Raph,

you wrote:

The thing is that in such a case, it isn't really a single 'demos'. It 
is two groups voting as one.



Do you mean to say democracy is only for societies which are
sufficiently homogeneous?




That doesn't help because then the majority on issue A will still
overrule the rest in every single decision on that issue. So a
compromise option for that issue will have no chance.



You can still have compromises.



Only if the majority for some reason prefers to elect the compromise
than their favourite. But in that it seems the "favourite" was just not
the true favourite of the majority but the compromise was. So, still the
minority has no influence on the decision but can only hope that the
majority is nice enough to decide for the compromise.

In fact, it can be helpful if multiple issues are voted as a single 
unit.  This allows negotiation between factions in order to make up 
the majority.



This common behavious is a pretty artificial construct to overcome the
discussed drawbacks of majoritarian rules.


A faction can make compromises on issues that it doesn't care about
in order to get things that it does.  This requires there is no solid
 bloc though.



And when both factions care about both issues?


A split society will only function poorly when a majoritarian
method is used. When they use a method like FAWRB instead, they
will function well because then they will care what the other
faction wants, will try to devise good compromise options, and will
vote in a way which makes sure the good compromises are elected
instead of the random ballot result. This is possible *precisely*
because with a non-majoritarian method the majority cannot simply
ignore the minority but has to figure out how to get them to
approve a compromise that is sufficiently near to their favourite.
Non-majoritarian methods encourage discourse and cooperation.



Sounds reasonable, the problem is that a) people don't like random 
methods b) it will result in certain outlier elements in society 
getting some power.



a) FAWRB is not a random but a very specific and quite sophisticated
method. It only uses a certain amount of chance, just as many things in
our life do. Chance should not be mixed up with arbitrariness. Used in a
rational way, FAWRB will usually elect good compromise options with near
certainty, not leading to significant amounts of randomness.


Perhaps a threshold could be set before a candidate can participate.



Yes, I agree. The version I just proposed to Terry incorporates such a
threshold.


Also, the citizens of the US didn't get to vote on the restrictions
of civil rights directly.  It was handled by Congress.



Using majority rule?


That someone was me.

Sorry, Greg didn't include your name in his post (or I couldn't find
it).



No need to be sorry.

Yours, Jobst

--
 [EMAIL PROTECTED]people.clarityconnect.com/webpages3/davek
 Dave Ketchum   108 Halstead Ave, Owego, NY  13827-1708   607-687-5026
   Do to no one what you would not want done to you.
 If you want peace, work for justice.




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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-17 Thread Jobst Heitzig

Dear Diego,

you wrote:

 The risk of minority will remains. How does FAWRB perform in binary issues?


What you mean by "risk of minority"? That a minority favourite may win? 
Well, that is just the *feature* of FAWRB: It gives each part of the 
electorate full control over an equal share of the winning probability. 
This is the requirement of democracy.


So, when 55% prefer A and 45% prefer B and both groups do not care to 
look for a good compromise C or do not cooperate in electing such a good 
compromise by using FAWRBs cooperation mechanism, then indeed A will win 
with 55% probability and B will win with 45% probability - which is just 
fair and what a democratically thinking person would expect. This also 
answers your question about the binary case.


However, let me point out that in most real-world issues, there is a 
possibility to come up with a good compromise option.


Sometimes, for example, this can be achieved by "side payments", that 
is, C is A plus some payments (or other forms of compensation) from the 
A supporting group to the B supporting group.


Once a good compromise is found, using FAWRB makes it probable that this 
compromise is also elected. Majoritarian methods fail here since with 
them, the majority has no incentive at all not to bullet vote for A and 
thus overrule the rest.


If a consensus exists between the factions, then this danger would be 
too rare. There`s no gain for any faction to leave the issue undecided.


I don't think so. In my experience of politics it is often the case that 
one faction strongly wants to stick with the status quo, so they would 
have a strong incentive to refuse cooperation under your scheme.



Not always we can find an unanimity...


Yes, that's exactly the reason why sometimes we need to resort to a 
chance process in order to give every voter their fair right to 
influence the decision.


Yours, Jobst


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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-17 Thread Raph Frank
On Thu, Oct 16, 2008 at 7:58 PM, Jobst Heitzig <[EMAIL PROTECTED]> wrote:
>> The thing is that in such a case, it isn't really a single 'demos'. It is
>> two groups voting as one.
>
> Do you mean to say democracy is only for societies which are
> sufficiently homogeneous?

To a certain extent, I would say it works reasonably if one faction is
>75% or no faction is more than 1/3.

In the first case, the majority should be sufficiently confident in
its power that it doesn't have to be oppressive and in the second
case, there is a requirement for negotiation.

It also works if there is trust/good relations between the factions,
no matter the distribution.

Where is breaks down is when one group is a majority but not an
unassailable one.  If one group is 55-60%, then it needs to stay
together or it risks losing control.  This is made even worse if there
is distrust/fear between the two groups.  In Nothern Ireland, they
have a substantial minority who don't want NI to exist.

It also tends to move power to the leadership of the majority and away
from their supporters.

>> You can still have compromises.
>
> Only if the majority for some reason prefers to elect the compromise
> than their favourite. But in that it seems the "favourite" was just not
> the true favourite of the majority but the compromise was. So, still the
> minority has no influence on the decision but can only hope that the
> majority is nice enough to decide for the compromise.

I was thinking of PR + negotiations in the legislature.  If a party
supports policy A in exchange for policy B being killed, and then the
other party breaks its word, then that is bad for that party's
reputation.  This will make it more difficult for it to make deals in
the future.

>> In fact, it can be helpful if multiple issues are voted as a single unit.
>>  This allows negotiation between factions in order to make up the majority.
>
> This common behavious is a pretty artificial construct to overcome the
> discussed drawbacks of majoritarian rules.

This occurs in Ireland with our "Programme for Government".  After the
election, there is a negotiation between the parties to agree on what
the policies/priorities for the government until the next election
will be.

If the coalition doesn't implement what was agreed, then it could find
that one of its members leaves and the government falls.  This could
lead to a new general election or to a different coalition being
formed.

>> A faction can make compromises on issues that it doesn't care about
>> in order to get things that it does.  This requires there is no solid
>>  bloc though.
>
> And when both factions care about both issues?

Well, they aren't likely to care equally about every issue.  In any
case, negotiations will start for the "Every decision decided by
simple majority" and negotiations should improve the utility.  It is
possible that total utility would fall as a result of those
negotiations, but that is (hopefully) unlikely.

>> Sounds reasonable, the problem is that a) people don't like random methods
>> b) it will result in certain outlier elements in society getting some power.
>
> a) FAWRB is not a random but a very specific and quite sophisticated
> method. It only uses a certain amount of chance, just as many things in
> our life do. Chance should not be mixed up with arbitrariness. Used in a
> rational way, FAWRB will usually elect good compromise options with near
> certainty, not leading to significant amounts of randomness.

I know, but it does have randomness.

Btw, could you create a web page that gives a description of the
method, since it was still in the discussion stage the last time you
posted here.

> Yes, I agree. The version I just proposed to Terry incorporates such a
> threshold.

Great.

> Using majority rule?

Well, majority of the members of Congress.  It may not have passed if
voted directly by the people.

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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-17 Thread Jobst Heitzig

Dear Greg,

you wrote:
Group membership is difficult to define. With ranked ballots it's 
simple, but in the majority criterion debate, I argue that a score of 
60% represents 60% of a first preference, not the preference between 59% 
and 61%. 


Sorry, I don't get your meaning here.

However, it seems to me that there is a confusion about the usage of the 
term "majority" in the context of our debate. In the majority criterion 
and related criteria, we usually don't speak of *the* majority, 
referring to one specific subset of the electorate, but we refer to *a* 
majority, by which we mean *any* subgroup consisting of more than half 
of the voters.


For example, consider the classical cycle of true preferences, where
  voter X ranks A>B>C
  voter Y ranks B>C>A
  voter Z ranks C>A>B.

In this situation, there are three different majorities: {X,Y}, {Y,Z}, 
and {Z,X}. Of course these groups are not disjoint and it makes no sense 
to speak of "the" majority. Rather, the majority criterion only requires 
that each of these groups, should they decide to do so, can overrule the 
third voter. That is, X and Y can cooperate in overruling Z and making 
sure B wins. Likewise (but not at the same time of course), Y and Z 
could agree to elect C. So, it usually makes no sense to speak of "the" 
majority since most often there are lots of majorities - it all depends 
on which of these groups happens to make the deal to overrule the rest.


> ... we have not settled the issue of simultaneous
majorities. 


See above for clarification. There is no issue of "simultaneous" 
majorities, the criterion simply requires that each subgroup of more 
than half of the voters has a way of overruling the rest. It does not 
require that two such subgroups can do so at the same time, which is 
obviously impossible.


I continued:

While of course civil rights are very important to make sure that
no-one's basic *rights* are violated, they cannot make sure that
everybody's *preferences* are have a fair chance of influencing
decisions that are made *within* the limits the civil rights pose.
 


to which you replied:
Let me explain my point. I set the bar fairly high for tyranny of 
majority i.e. it must constitute actually oppressing me and not merely 
annoying or inconveniencing me to be labelled tyranny. 


I don't care for the label "tyranny". My point is that when a majority 
is able to overrule the rest with certainty, then that's not democratic.


You talk about the destruction of 
democracy. 


Did I? I don't think so. I don't think there has been any large-scale 
truly democratic system yet. Only some families and small groups often 
decide in an approximately democratic way when they make sure that each 
member of the group makes a decision at some point in time, for example 
by letting the members decide in turn.


That democracy is an all-or-nothing type thing. I am arguing 
that a good constitution will prevent a majority from acting in such a 
way that democracy itself is subverted. 


Not when the constitution allows the majority to decide all issues 
without having to be concerned about other peoples wishes.


If you argue instead that 
suboptimal results come about, yes I agree with you. 


My point is not the "optimality" of results, whatever that may mean. To 
define and ensure optimality is a large but different task than to 
ensure the democratic right to influence the decision.


For example, some philosophers argued that it would be optimal if some 
highly intelligent, well-informed and impartial person (the 
"philosopher-king") decided all issues. Though I tend to agree that this 
might give "optimal" results, such a system would obviously be not a bit 
democratic.


On the other hand, simply drawing a random ballot to decide is perfectly 
democratic since it gives each voter exactly the same power regardless 
of factions. However, that method would not give "optimal" results at 
all since compromise options would get no chance at all. What is missing 
here is an incentive to cooperate.


So, whether a method is democratic and whether it leads to "optimal" 
results are just two questions which are in large part (but not totally) 
independent. This is why we developed FAWRB, a method which gives each 
voters the same power but gives them also strong incentives to cooperate 
in finding and electing good compromise options.


Again, you speak about actively preventing the majority from doing 
something that violates the rights of minority. Such cannot be prevented 
by any voting method! 


Excuse me! Of course it can. I have demonstrated this over and over. 
With FAWRB, the worst a majority of, say, 55% of the electorate can do 
to the minority is to bullet-vote for the option considered worst to the 
other 45%, thus assigning 55% of the winning probability to that option. 
But this is not violating the minorities rights since at the same time 
those 45% of the voters can assign the remaining 45% 

Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-17 Thread Jobst Heitzig

Dear Raph,

you answered to me:

a) FAWRB is not a random but a very specific and quite sophisticated
method. It only uses a certain amount of chance, just as many things in
our life do. Chance should not be mixed up with arbitrariness. Used in a
rational way, FAWRB will usually elect good compromise options with near
certainty, not leading to significant amounts of randomness.


I know, but it does have randomness.


I includes a chance process just as many sophisticated things in our 
life do. It does not include arbitrariness. It will most often lead to a 
certain winner (one option getting 100% winning probability).


Here's some evidence that the perceptions that chance processes are evil 
and that deterministic processes cannot lead to random results is wrong:


1. Some time ago I challenged you all by asking for a method which 
elects C with certainty in the 55/45-example. The only methods which 
achieved this seeminly simple goal included a chance process.


2. Every majoritarian method leads to a severe kind of randomness when 
there's no Condorcet Winner! This is because in all these situations 
there is no group strategy equilibrium, that is, whatever the winner is, 
there will be some majority having both the incentive and the means to 
change the winner to an option they like better. So, where the strategic 
process will end is mostly random since it cannot settle on an equilibrium.


Yours, Jobst

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Re: [EM] Range Voting vs Condorcet (Greg Nisbet)

2008-10-17 Thread Raph Frank
On Fri, Oct 17, 2008 at 5:24 PM, Jobst Heitzig <[EMAIL PROTECTED]> wrote:
>> I know, but it does have randomness.
>
> I includes a chance process just as many sophisticated things in our life
> do. It does not include arbitrariness. It will most often lead to a certain
> winner (one option getting 100% winning probability).

I am not sure it would in practice.  It is likely that a few percent
would bullet vote.

I think having thresholds at both ends would be a good idea, i.e.
eliminate all options with less than 1/3 support and automatically
elect any option which achieves greater than 75% probability.

> Here's some evidence that the perceptions that chance processes are evil and
> that deterministic processes cannot lead to random results is wrong:

I think it is that random methods have the potential to be easier to
corrupt.  If someone with 5% support wins the draw, there is likely to
be many accusations of it being rigged.

Also, it could have stability problems.

> 1. Some time ago I challenged you all by asking for a method which elects C
> with certainty in the 55/45-example. The only methods which achieved this
> seeminly simple goal included a chance process.

I actually do think that it is a reasonable idea, but having it
implemented would be an uphill battle.

I think that a system that results in a 100% winner would be a
reasonable target unless, say more than 1/3 of the voters, refuse to
compromise would be a reasonable target.

Using it for something like a legislature where it is possible to
repeat votes is also potentially a problem, as a losing majority can
'toss the coin' over and over.

> 2. Every majoritarian method leads to a severe kind of randomness when
> there's no Condorcet Winner! This is because in all these situations there
> is no group strategy equilibrium, that is, whatever the winner is, there
> will be some majority having both the incentive and the means to change the
> winner to an option they like better. So, where the strategic process will
> end is mostly random since it cannot settle on an equilibrium.

I think it is likely that there would be an honest condorcet winners
in most real cases.  Also, the Smith set should contain candidates
that are at least reasonably similar and anyway, condorcet completion
methods are rarely random.

Btw, again, can you put on the web a full description of the method.
It would be helpful to be able to type "FAWRB" into google and see the
current version.

You have produced software that implements the method, so you should
include a description of the method it implements.

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