[EM] Borda different than Condorcet?

Alex Small asmall at physics.ucsb.edu
Mon Feb 24 11:56:50 PST 2003

> I need a proof that Borda and Condorcet can lead to
> different winners.
> Anyone can provide an example?

66 A>B>C
34 B>C>A

Condorcet:  A is the first choice of the majority, so he defeats all other
candidates pairwise and wins.

Borda:  B gets 34*2+66=134 points, A gets 66*2=132 points, C gets 34 points.

Saari:  Anybody who thinks A is the favorite of the electorate really
doesn't understand how to deduce the true preferences of the voters. 
Here's some geometry to show why....


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