[EM] Looking for the name of a Bucklin variant

[Chris Benham]

Michael,

The method you describe was invented by Douglas Woodall and is called 
"Quota-Limited Trickle Down".

I don't think that anyone now claims that it is a very good single-winner 
method, but maybe you can
base an ok multi-winner method on it that meets Droop Proportionality.

Woodall had it meeting Majority for Solid Coalitions, his Plurality criterion, 
mono-raise,
mono-remove-bottom, mono-raise-delete, mono-sub-plump, mono-add-plump, 
mono-append and
Later-no-Help.

And failing Clone-Winner, Clone-Loser, Condorcet, mono-add-top, mono-sub-top and 
Later-no-Harm.


Chris Benham




Michael Rouse wrote (25 Aug 2010):
I was wondering if someone on the Election Methods list could give me the name 
(or better yet, a link to more information) on a particular variation of the 
Bucklin method.  In Bucklin, you check first place votes to see if a candidate 
has a majority. If not, you add second place votes, then third place votes and 
so on, until at least one candidate has a majority.  In the variation I'm 
thinking of, you look at first place votes. If one candidate has a majority, 
then he or she is the winner; otherwise, you start adding second place votes 
*one at a time* (rather than all at once), until you have majority candidate. If 
no candidate has a majority, you start adding third place votes one at a time, 
and so on. In other words, you find the candidate who needs the fewest added 
votes at a particular rank to be a majority winner. If candidate A needs only 2 
second-place votes to have a majority and candidate B needs 100, it wouldn't 
matter that candidate A has only 3 second place votes and B has 1000.  I know 
this has to have a name (or at least someone has looked at it and given a nice 
description of its properties), and I'm interested in seeing how it would apply 
to multi-winner elections without reinventing the wheel.  Thanks!  Michael Rouse