[EM] An MCA Method: the Majority Judgment

[Jameson Quinn]

Very, very interesting. This "Majority Judgement" method almost, but not
quite, corresponds to MCA-M in my terminology (it corresponds if removing
median ratings breaks the tie by shifting one candidate down, but not if one
candidate shifts up). I have not read the book, but I enthusiastically
support any MCA method, and am glad that such a method got this level of
publicity. Also, their method is very simple to state. (I think that my
recent ideas in MCA-asset are a step forward in avoiding problems with
vote-splitting, but that does come at a very real cost of complexity, so I
can't really claim that asset-like MCA methods are strictly better than
their method).

In fact, I'd be open to considering "Majority Judgement methods" as a
synonym for the class of MCA methods. I'll still call the methods MCA here,
to avoid confusion; but I'd consider this to be the foundational book for
MCA, so their name is as good as "mine".

Jameson

2011/3/1 Andy Jennings <elections at jenningsstory.com>

> Much has been said here lately about MCA methods.  French professors Michel
> Balinski and Rida Laraki have just published a book about an MCA method, the
> Majority Judgment:
> http://amzn.com/0262015137
>
> As with all MCA methods, if there is a unique candidate who has the highest
> median grade, he is the winner.  Here are some other details:
>
> - If there are an even number of voters, the lower of the two middle grades
> is used instead of the arithmetic median (which is the average of the two
> middle grades).
>
> - Ties are broken by removing one copy of the median grade from the set of
> votes and repeating.
>
> - They argue for using six grades, specified lingustically not numerically.
>  They suggest: Excellent, Very Good, Good, Acceptable, Poor, and To Reject
>
>
> Andy Jennings
>
>
>
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