[EM] Markus' request

2005-02-16 Thread Forest Simmons
Markus asked me to define the Dutta Set, the Condorcet Lottery method, and clarify whether or not this lottery method is monotonic. I think the best I can do is to include a copy of Jobst's posting of 5 Jan 2005, which answers all of these questions to one degree or another. In particular, the

Re: [EM] Who defined the Smith set

2005-02-16 Thread Steve Eppley
Hi, > The Smith set certainly has lots of names. It´s the Smith set, > the minimal dominant set, and now the GeTCha set too. I usually call it the top cycle. The disadvantage of this name is that when there's a Condorcet Winner, the "top cycle" is not a cycle. --Steve Election-methods mai

Re: [EM] Re: Candidate withdrawal option

2005-02-16 Thread Steve Eppley
Hi, James G-A wrote: > Russ, -snip- > I don't think that there are too many details to know. > The basic idea is that after the initial tally, a candidate > can withdraw and order a re-tally as if they had not > participated. -snip- > >> What is the time limit for withdrawal? Is it hours

Re: [EM] Who defined the Smith set

2005-02-16 Thread James Green-Armytage
> >The Smith set certainly has lots of names. It´s the Smith set, the >minimal >dominant set, and now the GeTCha set too. Yes. GeTChA was Schwartz's term. It's a bit silly, perhaps. I think that minimal dominant set is the most straightforward, but I can recognize it by any of the other

[EM] Who defined the Smith set

2005-02-16 Thread MIKE OSSIPOFF
James-- You wrote: Here again is the reference to Schwartz's book, where he defines the minimal dominant set (GeTChA set) along with the union of minimal undominated sets (GOChA set), and a few others. I reply: The Smith set certainly has lots of names. It´s the Smith set, the minimal domi

Re: [EM] sprucing up

2005-02-16 Thread Markus Schulze
Dear Forest Simmons, before you go on: 1. Please post an authoritative definition for the "Dutta set"! (Please post one that doesn't presume that there are no pairwise ties!) 2. Please post an authoritative definition for "Condorcet lottery"! (As far as I remember correctly, Jobst He

Re: [EM] Definitions?

2005-02-16 Thread James Green-Armytage
Thank you, Markus. I had been wondering about that for awhile. >The Smith set is named after this Smith: > JH Smith, "Aggregation of preferences with variable > electorate," Econometrica, vol. 41, pp. 1027--1041, > 1973 >Markus Schulze Election-methods mailing list - see http://elect

Re: [EM] Definitions?

2005-02-16 Thread Markus Schulze
Dear James Green-Armytage, you wrote (16 Feb 2005): > I believe that you have been calling this the "Smith > set", although I never found out who Smith was. The Smith set is named after this Smith: JH Smith, "Aggregation of preferences with variable electorate," Econometrica, vol. 41, pp.