Re: [EM] MinMax(AWP) and Participation

2010-04-24 Thread Markus Schulze
Hallo, the Young method calculates for each candidate A the minimum number of ballots that have to be removed so that candidate A doesn't lose any of its pairwise comparisons. The Young method chooses that candidate for whom this number is the smallest. Also the Young method satisfies

[EM] MinMax(AWP) and Participation

2010-04-23 Thread Chris Benham
 Forest wrote: ..MinMax is the only commonly known Condorcet method that satisfies the following weak form of Participation: If A wins and then another ballot with A ranked unique first is added to the count, A still wins. That is Mono-add-Top, I think coined by Douglas Woodall. It is met by

[EM] MinMax(AWP) and Participation

2010-04-22 Thread fsimmons
In his last message Juho gave an example in which MinMax(wv) fails to satisfy the weak participation criterion that Perez said was satisfied by MinMax. I looked up Perez' proof, and found that he made essential use of complete rankings, in which case margins and wv give the same results. Joho's

[EM] MinMax(AWP) and Participation

2010-04-21 Thread fsimmons
I don't know if Juho is still cheering for MinMax as a public proposal. I used to be against it because of its clone dependence, but now that I realize that measuring defeat strength by AWP (Approval Weighted Pairwise) solves that problem, I'm starting to warm up more to the idea. MinMax

Re: [EM] MinMax(AWP) and Participation

2010-04-21 Thread Juho
I still include minmax(margins) in the set of good Condorcet methods, also for practical elections. AWP style defeat strength measuring is a very interesting addition to the Condorcet family. It may be a bit tedious to the voters but in principle very interesting as said. Also variants of