[EM] What is canonical Bucklin voting?

[culitif at tuta.io]

It strikes me that the current documentation on Bucklin on both Wikipedia and Electowiki is really unintuitive. Electowiki points out Fallback Voting as a method that's "strongly related to Bucklin" that was proposed in 2006, but from what I can tell it is exactly what is described in Smith's paper that you linked. And it's also what I'd gather as the general impression most people get when reading the Wikipedia article for it. All of them fail to go into detail however.

Forest also mentioned MJ Bucklin as probably the most popular form of Bucklin right now. But the little detail offered by either Electowiki or Wikipedia (or most general resources) go into zero detail about what that would look like. Despite the fact that they all make mention of the popularity of graded Bucklin methods. 
I'd like to go ahead and make an implementation of MJ Bucklin, but I'm having a hard time finding a description of the algorithm. Could anybody kindly provide a link or resource to what that would look like?

Thank you so much,
Culi.
---

PS votevote <https://elegant-shaw-2cb49a.netlify.app/votevote> is now able to simulate a single election in ~18 different methods!


Jan 29, 2022, 5:35 AM by km_elmet at t-online.de:

> On 29.01.2022 04:06, culitif at tuta.io wrote:
>
>> Hi, I know what's labelled as "Bucklin" is messy and it's more a
>> category of methods, but I thought I figured what would make sense as
>> the most conventional choice of what a Bucklin system would refer to.
>>
>> But then I read about Fallback Voting and realized I just coded that.
>> There's also another system I've seen referenced that uses a top-two
>> system. I named this "historical Bucklin", but now I'm wondering if that
>> is the most canonical Bucklin system. Am I missing something?
>>
>
> This article provides a reasonably good description of various voting
> methods, as they're defined on EM:
> http://www.9mail.de/m-schulze/votedesc.pdf
>
> The section on Bucklin agrees with how I've understood it: it's a ranked
> method where you stepwise add in first, second, ..., kth rank until
> someone attains a majority.
>
> Due to Bucklin's LNHelp feature combined with a lack of LNHarm leads to
> a natural idea of letting voters instruct Bucklin to "skip ranks" on
> their ballots. This in turn leads to majority grade methods like MJ.
>
> (The article is wrong about supplementary voting being a form of
> Bucklin, though. It is a two-step IRV.)
>
> -km
>

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