Re: [EM] Proof Borda Count best in the case of fully ranked preference ballots

2002-02-20 Thread Forest Simmons
On Tue, 19 Feb 2002, Steve Barney wrote: Forest: What do you think of circular triplets, such as: ABC BCA CAB, and reversals, such as: ABC CBA. If that is all the information that we have to go on (when ordinal preference ballots are used, it is

Re: [EM] Proof Borda Count best in the case of fully ranked preference ballots

2002-02-19 Thread Forest Simmons
On Mon, 18 Feb 2002, Steve Barney wrote: Just so you know, in the case of fully ranked ordinal preference ballots, Donald Saari has claimed to have proven, mathematically, that the Borda Count is the optimal procedure in the sense that it produces the smallest number, all together, of

Re: [EM] Proof Borda Count best in the case of fully ranked preference ballots

2002-02-19 Thread Steve Barney
Forest: What do you think of circular triplets, such as: ABC BCA CAB, and reversals, such as: ABC CBA. If that is all the information that we have to go on (when ordinal preference ballots are used, it is ), shouldn't either of these profiles cancel

[EM] Proof Borda Count best in the case of fully ranked preference ballots

2002-02-18 Thread Steve Barney
Forest and all: Just so you know, in the case of fully ranked ordinal preference ballots, Donald Saari has claimed to have proven, mathematically, that the Borda Count is the optimal procedure in the sense that it produces the smallest number, all together, of paradoxical outcomes. I am not