--- On Mon, 1/31/11, Kevin Venzke <step...@yahoo.fr> wrote:
> From: Kevin Venzke <step...@yahoo.fr> > Subject: Re: [EM] An interesting real election > To: election-meth...@electorama.com > Date: Monday, January 31, 2011, 12:04 AM > Hi Aaron, > > --- En date de : Dim 30.1.11, Aaron Armitage <eutychus_sl...@yahoo.com> > a écrit : > >1 has a path to 6 at least as strong as 6's path to 1, > namely 1>3>6, at > >15-11 and 14-11. It > >seems a little odd, to me at least, that 6's path to 1 > should benefit 2 > >but not 6 itself. > > When you say "benefit" do you mean "elect" or something > more broad? It > seems to me election is the only meaningful benefit but of > course only > one candidate can receive it. > In this context I mean benefit in the pairwise comparison. So in this case, using Schulze, 2 receives a pairwise benefit against 1 from the direct 6 vs. 1 comparison, but 6 itself (himself, herself...) does not. Actually winning office is the main reason why a candidate would care about his pairwise comparisons, but not the only one -- doing well gives him a stronger platform for future elections, makes him more attractive to donors, makes him more likely to be taken seriously, and so on. > >Starting from the top seems the only way of ensuring > that the path that > >orders the two > >candidates relative to each other is the one which > actually contributes > >to the final outcome. > > I don't understand this. Are you saying the Schulze outcome > in this > election is an example where these two things differed? > Well, yes. 6>1 is part of 2's successful path to 1, even though 1 is placed over 6 by the 1>3>6 path. > It's true that 1's path to 6 is better than the reverse, > but the only > method that will never elect the loser of such a comparison > is Schulze. > > Kevin > Maybe I'm missing something. I ranked pairs, aren't the strongest paths locked in before the weaker ones are considered? That is, the weakest link of the weaker path is only considered after all the links of the better path are locked in. > > > ---- > Election-Methods mailing list - see http://electorama.com/em for list info > ---- Election-Methods mailing list - see http://electorama.com/em for list info
