[EM] Possible Multi-Winner Pairwise techniques/algorithms (Part 2)

2005-06-04 Thread Gervase Lam
Rather than starting from scratch, I thought I would instead quote my own e-mail so that I don't have to re-explain myself. The quotes have also been (sort of) moved about slightly. From: Gervase Lam Subject: Possible Multi-Winner Pairwise techniques/algorithms (Part 1) Date: Sunday 29 May

[EM] Possible Multi-Winner Pairwise techniques/algorithms (Part 3)

2005-06-04 Thread Gervase Lam
In the Parts 1 and 2, the 'seeds' are ballots. The winners come/develop from these seeds. The problem with this is that the methods I discussed do not guarantee n winners. So, I decided to take it from another direction. What if the seeds were the candidates themselves. If each candidate x

[EM] preferences and approval with four candidates

2005-06-04 Thread Jobst Heitzig
Hello folks! I have thought some time about how to visualize voting situations graphically and came about the following model: Candidates and voters are represented by points in some metric space, preferences are according to distance, and a candidate is approved iff s/he is at most 1 unit

[EM] MAM algorithm?

2005-06-04 Thread Gervase Lam
While finding a way to group candidates together in order to find a multi-winner pairwise method, I came up with a technique/algorithm for MAM that partially works. It should also work for Ranked Pairs, considering that RP is almost the same as RP. Imagine that so far MAM has created a two

[EM] Thanks for Sprucing-Up answers

2005-06-04 Thread MIKE OSSIPOFF
Forest-- Thanks for the explanation about Sprucing-Up. I've noticed that there was much discussion of it in December, or thereabouts, so I've probably found the main discussion. But I agree that it sounds too restrictive, especially now that I've found out that FBC and Strong FBC are

[EM] AERLO, not cycle-collapsing, gives Strong FBC to MMPO

2005-06-04 Thread MIKE OSSIPOFF
I said: It seems to me that it was said that cycle-collapsing caused nonmonotonicity with PC (MinMax(wv)), but maybe it wouldn't with MMPO. It's tempting to use it to change FBC compliance to Strong FBC compliance, with MMPO, as an enhancement to be proposed after plain MMPO is adopted. I