On 10.2.2012, at 0.59, robert bristow-johnson wrote:

> On 2/9/12 5:19 PM, Juho Laatu wrote:
>> Condorcet is a natural extension to the multi-candidate case (still assuming 
>> competitive elections). Maybe not the only one though. In another mail I 
>> just addressed the possbility of having single-winner elections that aim at 
>> electing the winner from one of the major parties (or more accurately, from 
>> one of the top two most representative camps).
> 
> now why is that a good thing?

Some targets could be set so. (I don't say that tis approach would be 
particularly good, just one option and approach that is less common than the 
Condorcet approach.)

>  i thought that giving third and fourth parties (and independents) a level 
> playing field is an intended consequence of the main virtue of ranked-ballot 
> methods which is to not penalize the voter for voting his/her conscience and 
> does not offer a reward (even if the reward is a consolation prize) for 
> voting tactically.

Yes, those are some typical essential requirements for methods that allow more 
than two candidates to run and not be a spoiler. There could be differences on 
which candidate we want to elect. Is the target to elect a candidate that is 
good for as high number of voters as possible (with "least opposition"), or is 
the target to elect a winner that represents one of the two strongest 
coalitions (with no need to be good for both coalitions)?

> 
>> Condocet could however maybe be seen as the most natural extension and a 
>> natural fisrt proposal for typical / basic single-winner elections.
> 
> that's what i thought from the beginning.  i remember when we voted for IRV 
> in 2005 thinking that the language of the rules were not this natural 
> extension and thinking "why did they adopt this method for dealing with the 
> ranked ballots?".  but it occurred to me right away that all the pairwise 
> champion needs to do is get into the final round, and he/she will win it.  so 
> i thought it was probably unlikely that IRV would elect someone else.

IRV is a method that loks good at first sight, but that has some problems. It 
clearly seems to respect the idea that a pairwise winner should win at the last 
round, and maybe be strong also in the other rounds. I think IRV has also 
another nature, i.e. the tendency to favour large paries. This property 
correlates with the othe approach to single-winner methods that I discussed 
earlier. But also here IRV is quite heuristic and approximate, and does not 
systematically implement that approach either. It is thus possible that some 
people see IRV as "a bad Condrcet-like method", and some see it as a "improved 
two-party method with some problems". The method that I described earlier could 
be seen to be a cleaner method that represents this other approach to IRV 
(while Condorcet represents another approach to it).

> 
>>>  if Candidate A is the best candidate to be awarded office, that means that 
>>> Candidate A is better than Candidate B.  it also means that Candidate A is 
>>> better than Candidate C.  if Candidate A is the best candidate, it means 
>>> that no other candidate is better than Candidate A.
>>> 
>>> so, how do we determine who is better?  we could make them take an exam to 
>>> show how much they know about job that the elected office entails.  or we 
>>> could make the candidates arm wrestle.  but, in a democracy, the way we 
>>> determine that one candidate is better than some other is that we ask the 
>>> electorate.  sorta like Pilate asking the crowd to choose between Jesus and 
>>> Barabbas.  the ranked ballot tells us who the voter chooses given any pair 
>>> of choices.
>>> 
>>> it's simple.  when a Condorcet winner exists, to elect *anyone* other than 
>>> the Condorcet winner is the same as awarding office to the loser in a 
>>> simple Two-candidate, Simple majority, One-person-one-vote election and i 
>>> cannot see a *single* justification for doing that.  the "weak CW" argument 
>>> does not cut it at all.
>> For typical single-winner elections, yes. In special cases, like the one 
>> that I discussed above,
> 
> yeah, but i don't get why that special case is desirable.  why should rules 
> be adopted that favors the top two parties as an end itself?

If you want to elect the best compromise candidate, Condorcet is good. If you 
want to keep one of the leading camps in power, use the other approach. I thus 
assumed that in some environments and some electiosn people want two leading 
parties to rule in the typical aalternating way, while giving also third 
parties the possibility to participate in the election without becoming a 
spoiler, and one day replacing one of the two leading parties. Just a choice on 
what kind of a society / election you want to have.

> 
>>  also other approaches may be possible.
>> 
>> So I agree that Condorcet methods are a good first assumption (for 
>> competitive elections).
> 
> i just don't see the alternative (which is that you elect the loser of some 
> pair of candidates).

Ok, the pairwise loser problem needs an explanation. I'll try to find one.

There are two 50% parties, A and B. They alternate in power. Then a new minor 
party C emerges. In the political spectrum C is somewhere between A and B. 
Already in the next election A voters vote 49: A>C>B and B voters vote 49: 
B>C>A. C is a Condorcet winner. A will be elected althoug C is the pairwise 
winner. The reason is that the society wants the winner to come from an 
established party that can take care of the country/state/city well for the 
whole term in office. The winner needs support from numerous people from his 
own party. Therefore C would not be a good choice. We want people to show more 
support to C before we allow C to win. C would be a good ambassador that could 
represent the country/state/city well in some other role, but we want the the 
winner of this election to be figure with massive supporting troops behind him.

In the next election C has gained popularity and has lots of active supporters. 
Now A suporters vote 45: A>C>B. B supporters vote 25: B>C>A. C party has now 
grown bigger than B party, and as a result we allow C to win the election. In 
addition to beating the other candidates in a pairwise comparison, candidate C 
needed also massive (first preference or preference over A and B) support to 
win.

The reason for having such rules was that we like the idea of having two 
alternating strong camps in power, and we like the idea that those parties who 
alternate in power should be the two strongest parties or groupings.

Juho



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