[EM] Borda different than Condorcet?

Alex Small asmall at physics.ucsb.edu
Mon Feb 24 14:42:00 PST 2003

Adam Tarr said:
>>I need a proof that Borda and Condorcet can lead to
>>different winners.
> 91: A>B=C=D=E=F=G=H=I=J=K=L
> 9: B>C>D>E>F>G>H>I>J>K>L>A
> Condorcet: A defeats B 91 to 9.
> Borda: B defeats A 99 to 91.

That's a dubious way to handle truncation.  I'm not aware of any standard
convention for handling truncation in Borda.

If we change all of the = signs to > signs we get

A:  1001
B:  1009

But both examples show the same point:  B defeats the first choice of 91%
of the voters.


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