Re: [EM] A distance based method

2011-07-16 Thread fsimmons
Kevin, Do we agree that working from closest pairs outward solves the Plurality problem (at the expense of compromise and less monotonicity)? From: Kevin Venzke Hi Forest, --- En date de?: Ven 15.7.11, fsimm...@pcc.edu a ?crit?: I think I will try implementing the eliminate the

Re: [EM] A distance based method

2011-07-15 Thread fsimmons
I doubt it's monotonic, though it's probably not a practical problem. That is, it would probably be totally impractical to try to use the nonmonotonicity for anything strategic, and it wouldn't even lead to Yee diagram ugliness. You would have to have at lest four candidates to get a

Re: [EM] A distance based method

2011-07-14 Thread Kevin Venzke
Hi, --- En date de : Jeu 14.7.11, Kristofer Munsterhjelm km_el...@lavabit.com a écrit : Nonmonotonicity could be considered an error even with honest voters. The argument would go something like: Okay, if we raise X, then X goes from winner to loser. That means that the method is either

Re: [EM] A distance based method

2011-07-13 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Trying to build a metric from a set of ranked ballots is fraught with difficulties, and your outline of a procedure for doing it is interesting to me. The simplest, least sophisticated idea I have so far that seems to have some use is to define the distance between two

Re: [EM] A distance based method

2011-07-13 Thread Jameson Quinn
candidates, eliminate the pairwise loser of the two that are least close to each other. - Original Message - From: Kristofer Munsterhjelm Date: Wednesday, July 13, 2011 2:35 pm Subject: Re: [EM] A distance based method To: fsimm...@pcc.edu Cc: election-methods@lists.electorama.com

Re: [EM] A distance based method

2011-07-13 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: Here's a simpler version that is basically the same: Make use of cardinal ratings so that the rating of candidate X on ballot b is given by b(X). Define the closeness of candidate X to candidate Y as the dot product Sum b(X)*b(Y) where the sum is taken over all b in

Re: [EM] A distance based method

2011-07-11 Thread Juho Laatu
On 11.7.2011, at 2.34, fsimm...@pcc.edu wrote: First find a clone consistent way of defining distance between candidates. Then while two or more candidates remain of the two with the greatest distance from each other eliminate the one with the greatest pairwise defeat EndWhile.

Re: [EM] A distance based method

2011-07-11 Thread Jameson Quinn
This system seems explicitly designed to elect a centrist. In their experimental paperhttps://sites.google.com/site/ridalaraki/xfiles/BalinskiLarakiExperiEvid%28LastVersion%29.pdf?attredirects=0on Majority Judgment, system inventors Badinski and Laraki run a simulation to see how often different

Re: [EM] A distance based method

2011-07-11 Thread Juho Laatu
Do you know remember their arguments, or your own, on why centrists are not good? I think methods that elect centrists (like CW) are quite good general purpose single-winner methods. But on the other hand there are many kind of single-winner elections, and in many cases the targets may well be

Re: [EM] A distance based method

2011-07-11 Thread Jameson Quinn
You can read the paper - I linked it - if you want to. Without going back and quoting them, basically they argued that if a method always elects centrists, candidates will always be competing to be the most centrist, which will make it difficult for voters to make a meaningful choice. They also

Re: [EM] A distance based method

2011-07-11 Thread Juho Laatu
Thanks, those are good arguments too. I'll check the paper to see if they can convince me that compromise oriented methods should not be used by default. Juho On 11.7.2011, at 14.46, Jameson Quinn wrote: You can read the paper - I linked it - if you want to. Without going back and quoting

Re: [EM] A distance based method

2011-07-11 Thread Kristofer Munsterhjelm
fsimm...@pcc.edu wrote: First find a clone consistent way of defining distance between candidates. This could be an interesting algorithm problem in itself. It is possible to triangulate points in space (assuming Euclidean distances) if you have the exact distances; but what if you have only

Re: [EM] A distance based method

2011-07-11 Thread fsimmons
Yes, by sequentially eliminating one member of the remaining largest diameter pair, the method elects a centrist. If this is considered a problem, it can be overcome by sequentially eliminating one member of the current smallest diameter pair. However, this variant introduces a strong

Re: [EM] A distance based method

2011-07-11 Thread fsimmons
Trying to build a metric from a set of ranked ballots is fraught with difficulties, and your outline of a procedure for doing it is interesting to me. The simplest, least sophisticated idea I have so far that seems to have some use is to define the distance between two candidates X and Y to

Re: [EM] A distance based method

2011-07-11 Thread Jameson Quinn
2011/7/11 fsimm...@pcc.edu Yes, by sequentially eliminating one member of the remaining largest diameter pair, the method elects a centrist. If this is considered a problem, it can be overcome by sequentially eliminating one member of the current smallest diameter pair. However, this