Borda Count by Paul Dumais

[Markus Schulze]

Dear Paul,

you wrote (19 Apr 1999):
>        Paul's borda count:
>
>        Do a standard borda count, then eliminate the lowest candidates. The
> number of candidates kept is equal to the number of choices (seats, one
> in this example) + 1. Do a second borda count. Eliminate the last
> choice.
>
> This method should greatly reduce the possibility that the choice made
> differs when comparing it to the first eliminated candidate only. The
> "perfect" method would probably be to eliminate the lowest candidate one
> at a time. I'm not sure what would be gained by this however.

That election method where successively that candidate with the lowest
Borda Score is eliminated is one of those election methods which have been
proposed and discussed by Nanson (ca. 1882). This election method meets
the Condorcet criterion and violates the monotonicity criterion, the
consistency criterion, the reversal symmetry criterion, and the clone
criteria.

Markus Schulze