[EM] Notes on a few Later-no-harm methods

[Richard Lung]

Just a quick reply. I'm not much familiar with notation.

Binomial stv is a statistical count that doesn't apply for very small 
numbers. For that, there is non-parametric statistics. There is no hard 
and fast rule. I'd say about 32 votes minimum. but that's just a 
minimum. There is a law of large numbers for better approximations.

I forget the meaning of truncated, kindly explained to me. If you mean 
what happens with abstentions, they are counted towards the quota for a 
vacancy.

With regard to equal preferences, my position is one of both principle 
and expediency. They are counted by the multinomial theorem. But to me 
that is an "illection" count, a choosing-in of candidates, not a 
choosing-out or election.

I recognise there is probably a place for illection, but not necessariy 
in an election. That is for future studies -- not by me.

If a voter is really stuck between two candidates, he or she can toss a 
coin for it, and there will be no over-all bias.

At least in elections, I think bringing in a multinomial multitude of 
possibilities into an election is an astronomical distraction from the 
purpose of electing.

I would like to see the consequences in practise of large electorates 
limited use of their preferences.

Regards,

Richard Lung.


On 12/05/2022 22:48, Kristofer Munsterhjelm wrote:
> On 12.05.2022 21:27, Richard Lung wrote:
>> On 12/05/2022 20:12, Richard Lung wrote:
>>> K.M.
>>>
>>> I don't recognise this description of Binomial STV. Which is based on
>>> keep values, which is as much to say it is not never no-how based
>>> solely on first preferences and last preferences. (Even in
>>> single-winner elections.
> That's no problem, as it's not really relevant to my question :-) Let me
> rephrase.
>
> Some time ago, you gave examples of how to call a single-winner Binomial
> STV election. In those examples, everybody voted according to their full
> preferences. What I'm wondering is how the calculations (of exclude and
> keep values) are done when the ballots are truncated early, or when
> voters equal-rank some of the candidates.
>
> So, taking for instance, this single-winner election:
>
>>>> 3: A>B>C
>>>> 5: A>C
>>>> 13: C
> How would Binomial STV determine the winner? And what are the
> candidates' keep and exclude values?
>
> And similarly, for the election
>
>>>> 3: A=B>C
>>>> 5: B=C>A
>>>> 13: C=A>B
> What are the candidates' keep and exclude values, and who wins in
> single-winner Binomial STV?
>
> -km