Re: [EM] Yee/B.Olson Diagram Remarks

2008-12-19 Thread fsimmons
Property (2) below is not always apparent in existing YBD's, because when sigma is small the notch that makes A's win region non-starlike will also be small and will be within sigma of the center of the circle that circumscribes the candidate triangle. This center is (as often as not)

Re: [EM] Yee/B.Olson Diagram Remarks

2008-12-18 Thread fsimmons
Here's the latest update on my investigation of squeeze out and non-starlike effects in Yee/B.Olson diagrams (YBD's) of IRV. I'm still cocentrating on the three candidate case, If the triangle of candidate is scalene, then ... (1) for all sufficiently large values of sigma (the standard

Re: [EM] Yee/B.Olson Diagram Remarks

2008-12-12 Thread Juho Laatu
In the Yee/B.Olson diagrams Condorcet methods give quite ideal results. I proposed ages ago that one might study also voter distributions that give cyclic preferences. That would show also some differences between different Condocet methods. I'll try to draft some simulation scenarios. In a

[EM] Yee/B.Olson Diagram Remarks

2008-12-09 Thread fsimmons
My last message under this title got messed up in the transmission. Here's another try: In Yee/B.Olson Diagrams there is a rough correspondence between certain geometric properties of the win regions with certain compliances of the method. Convexity is a kind of geometric consistency that

Re: [EM] Yee/B.Olson Diagram Remarks

2008-12-09 Thread Abd ul-Rahman Lomax
At 06:46 PM 12/8/2008, [EMAIL PROTECTED] wrote: If Yee/B.Olson says you're bad, then you're bad. The converse is not true. If the electoscope does not say you are bad, that doesn't mean you are good. There are sometimes other considerations. Borda doesn't look bad under this electoscope,

[EM] Yee/B.Olson Diagram Remarks

2008-12-08 Thread fsimmons
In Yee/B.Olson Diagrams there is a rough correspondence between certain geometric properties of the win regions with certain compliances of the method.Convexity is a kind of geometric consistency that corresponds roughly with traditional Consistency.  Condorcet methods have this kind of