Re: [EM] How to break this tie?

2005-02-15 Thread Forest Simmons
From: Markus Schulze [EMAIL PROTECTED] Subject: Re: [EM] How to break this tie? Dear Chris, here is an example to illustrate my reservations about the uncovered set. Suppose the defeats are (sorted according to their strengths in a decreasing order): D A A B B C C A C D B D

Re: [EM] How to break this tie?

2005-02-13 Thread Markus Schulze
Dear Chris, you wrote (13 Feb 2005): What is wrong with having a rule at the front of an election method that says eliminate, (or bar from winning) all 'covered' candidates? That would make the method meet Pareto, so would there then still be a problem separately resolving sub-cycles? I am

Re: [EM] How to break this tie?

2005-02-12 Thread Markus Schulze
Dear Nathan, you wrote (11 Feb 2005): Was the example for how this violated Pareto posted to the list? No. I posted this example in a private mail to Mike Ossipoff ca. on 12 June 1998. Unfortunately, I don't have a copy of this mail. Markus Schulze Election-methods mailing list - see

Re: [EM] How to break this tie?

2005-02-12 Thread Markus Schulze
Dear Nathan, I have attached a copy of my 8 June 1998 mail to Mike Ossipoff where I criticize Ossipoff's subcycle rule #2. Markus Schulze Mon Jun 08 16:40:30 1998 To: Mike Ossipoff From: Markus Schulze Subject: Re: better letter Dear Mike, you wrote (8 Jun 1998): For the initial

[EM] How to break this tie?

2005-02-10 Thread Forest Simmons
Suppose the electorate is divided into the following three factions of equal size: x A1A2A3BC x BCA2A3A1 x CA3A1A2B How should this tie be resolved? Every candidate is in the Dutta set. Random Ballot Dutta gives the win to A1, B, or C with probability one third each. Spruced up Random Ballot

Re: [EM] How to break this tie?

2005-02-10 Thread Brian Olson
On Feb 10, 2005, at 8:06 AM, Forest Simmons wrote: A1A2A3BC BCA2A3A1 CA3A1A2B I don't suppose it would help to know that just about every system I've implemented answers C, eh? http://betterpolls.com/et?vrr=-clistif=- cnamecand=5seats=1data=A1%3EA2%3EA3%3EB%3EC%0D%0AB%3EC%3EA2%3EA3%3EA1

Re: [EM] How to break this tie?

2005-02-10 Thread Markus Schulze
Dear Forest, you wrote (8 Dec 2004): A subset B of candidates is a beat clone set if and only if every member of the complement of B that beats any member of B beats all members of B, and any member of the complement of B that is beaten by one member of B is beaten by all members of B. In