[EM] Election Methods and DanceSport

[Markus Schulze]

Dear Xavier Mora,

I wrote (17 May 2004):

> Suppose "TBRC[i]" is the position of candidate i in the
> "Tie-Breaking Ranking of the Candidates" (TBRC). Then
> "TBRC[i] < TBRC[j]" means "candidate i is ranked higher
> than candidate j in the TBRC".
>
> Blake Cretney suggested that when ij and mn each have the
> same strength then ij should be ranked higher if and only
> if one of the following conditions is met:
> 
>    1) pos[i] < pos[m].
>    2) i = m and pos[n] < pos[j].
>
> Rob LeGrand suggested that when ij and mn each have the same
> strength then ij should be ranked higher if and only if one
> of the following conditions is met:
> 
>    1) pos[n] < pos[j].
>    2) n = j and pos[i] < pos[m].

I wanted to write:

> Suppose "TBRC[i]" is the position of candidate i in the
> "Tie-Breaking Ranking of the Candidates" (TBRC). Then
> "TBRC[i] < TBRC[j]" means "candidate i is ranked higher
> than candidate j in the TBRC".
>
> Blake Cretney suggested that when ij and mn each have the
> same strength then ij should be ranked higher if and only
> if one of the following conditions is met:
> 
>    1) TBRC[i] < TBRC[m].
>    2) i = m and TBRC[n] < TBRC[j].
>
> Rob LeGrand suggested that when ij and mn each have the same
> strength then ij should be ranked higher if and only if one
> of the following conditions is met:
> 
>    1) TBRC[n] < TBRC[j].
>    2) n = j and TBRC[i] < TBRC[m].

Markus Schulze