From: Kevin Venzke [EMAIL PROTECTED]
Subject: Re: [EM] Re: sprucing up
Forest,
I certainly think this is an impressive, interesting idea, even if I don't
have a lot of comments on it. But:
--- Forest Simmons [EMAIL PROTECTED] a écrit :
In particular, Spruced Up River, Spruced Up Ranked Pairs,
For what it's worth, I drew up a pretty simplistic diagram to make
demonstrations of how a cycle can happen in election results:
http://www.channel1.com/users/dkesh/green/voting/condorcetparadox.png
(available in SVG format as well)
It's a simple triangle with a bunch of dots around it. A
Kevin wrote
Sprucing up Bucklin and IRV seem particularly interesting. But I doubt it
is able to do anything helpful with the 49 A, 24 B, 27 CB scenario.
I (mis)read 49 A, 24 BC, 27 CB
In Kevin's example B beats A beats C beats B, so there is no covered
candidate to eliminate nor any beat clone
The last paragraph of my previous message should have said
Remember the symmetric completion and reverse cancellation are not part of the
sprucing up process; they are only an assumption making possible two
dimensional geometrical analysis of spruced up methods that already happen to
satisfy
Interesting, the diagram can be viewed as either a two-dimensional
diagram or 3-D object (in which the triangle is an intersection of a
plane with three Cartesian axes). The diagram works either way, but
taken as 3-D, it shows that cycles are a natural and predictable outcome
when there are
