[EM] Re: Finding the probable best candidate?
Forest Simmons
fsimmons at pcc.edu
Wed Feb 20 08:28:07 PST 2002
On Tue, 19 Feb 2002, Adam Tarr wrote:
>
> Basically, whoever starts in first place in the cyclic
> tie wins, since whoever makes it up to challenge them must be the candidate
> that loses to them. So insofar as Borda seeded bubble sort uses Borda
> count to decide things, it has the same strategic problems as Borda.
>
Two things:
(1) Bubble sort starts from the top and works down: If the Borda order is
A > B > C , then Bubble compares A and B first, and then advances C as
far up as possible, one comparison at a time. So in circular ties
Bubble can alter the Borda order if the Borda order is opposite to the
cyclic order.
(2) Borda's strategic problems are no worse than those of Ranked Pairs
when it comes to three way circular ties. In other words, Black is as
good as Ranked Pairs in three way races.
Forest
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