[EM] What is canonical Bucklin voting?

[culitif at tuta.io]

Ah a really useful detail as I was actually stuck on this. I ended up making it so when the median is an even number of grades, it'll actually drop two marks from each candidate instead of one which felt... wrong. Thanks so much for the correction 

Best,
Culi.

Jan 29, 2022, 9:59 PM by forest.simmons21 at gmail.com:

> Kristofer's MJ just needs one more detail ... the median of an even number of grades  is the lower of the two middle grades.
>
> For the symmetrical version, it is the one closer to the center of symmetry.
>
> El sáb., 29 de ene. de 2022 2:56 p. m., Kristofer Munsterhjelm <> km_elmet at t-online.de> > escribió:
>
>> On 29.01.2022 19:51, >> culitif at tuta.io>>  wrote:
>>  > 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?
>>  
>>  MJ is like this, if I recall correctly:
>>  
>>  Assign each grade to a number (it doesn't really matter what number, as
>>  long as higher grades have higher values). Voters submit graded ballots,
>>  i.e. for each candidate the voter provides either no opinion or a grade.
>>  
>>  The candidate with the highest median grade wins.
>>  
>>  If there's a tie, remove from each candidate one instance of the median
>>  grade. Continue doing so until there's no longer a tie.
>>  
>>  -km
>>  ----
>>  Election-Methods mailing list - see >> https://electorama.com/em>>  for list info
>>

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