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).<div>
<br></div><div>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".</div>
<div><br></div><div>Jameson<br><div><div><br><div class="gmail_quote">2011/3/1 Andy Jennings <span dir="ltr"><<a href="mailto:elections@jenningsstory.com">elections@jenningsstory.com</a>></span><br><blockquote class="gmail_quote" style="margin:0 0 0 .8ex;border-left:1px #ccc solid;padding-left:1ex;">
<div>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:</div><div><a href="http://amzn.com/0262015137" target="_blank">http://amzn.com/0262015137</a></div>
<div><br></div><div>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:</div><div><br></div><div>- 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).</div>
<div><br></div><div>- Ties are broken by removing one copy of the median grade from the set of votes and repeating.</div><div><br></div><div>- They argue for using six grades, specified lingustically not numerically. They suggest: Excellent, Very Good, Good, Acceptable, Poor, and To Reject</div>
<div><br></div><font color="#888888"><div><br></div><div>Andy Jennings</div><div><br></div><div><br></div>
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