Re: [EM] Recursive Elimination Supervisor

2001-02-27 Thread Forest Simmons
Tony, here's a simpler version of the Recursive Elimination Supervisor, based on a suggestion of yours. Step 1. Use the seed method in reverse to find the "Seed Loser" SL, from among the N candidates. Step 2. While the SL sits out, recursively supervise the seed method to find an N-1 stage

Re: [EM] Recursive Elimination Supervisor

2001-02-27 Thread Forest Simmons
Tony, I am a little worried that this simplification gives room for a "Independence of Irrelevant Alternatives" problem to creep in. Many methods suffer from this IIA problem (which says that the Winner shouldn't change when some other candidate sits out) and it may be too much to expect that we

[EM] Recursive Elimination Supervisor

2001-02-24 Thread Tony Simmons
Forest, I found your scheme fascinating, and it worked with an example or two I tried it with. For three candidates, we first select one who wins conventional IRV, and who we can figure is unlikely to be the CL. We're not sure, but that isn't necessary, since the principal purpose of this step

[EM] Recursive Elimination Supervisor

2001-02-23 Thread Forest Simmons
Any trivial method can correctly distinguish winner and loser in a two way contest. How about a three way contest? The answer is the same, yes, any old trivial method can correctly distinguish winner and loser in a three way contest, IF (this is one of those big IF's) the method is not just