[EM] math 103 website - Arrow & Saari

Forest Simmons fsimmons at pcc.edu
Sat Jan 5 07:48:22 PST 2002

On Sat, 5 Jan 2002, Bart Ingles wrote:


> votes     candidate(intensity)
> -------------------------------
> 49        A(100),  B(1),  C(0)
>  2        B(100),  A(1),  C(0)
> 49        C(100),  B(1),  A(0)                          
> The Borda winner, B, is a rather poor choice when considering strength
> of voter preferences.  98% of the voters appear to despise B almost as
> much as their last choice.

Saari and other Borda apologists would probably say that for every table
like the one above there is another one where the 1's are replaced by
99's. So on the average B should win ... kind of like the statistician
with his head in the oven and his feet in the freezer ... on the average
he's just right :-)


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