[EM] Elections methods performance criterion

[Ken Johnson]

>   Date: Mon, 08 Mar 2004 09:19:23 -0500
>   From: Adam Tarr <atarr at purdue.edu>
>Subject: Re: [EM] Elections methods performance criterion
>  
>
>>...
>>With Borda, ...
>>   C1 = C2 = C3 < C4 = C5 = C6  -->  C1(1), C2(1), C3(1), C4(4), C5(4), C6(4)
>>    
>>
>
>I believe that insofar as Borda allows equal rankings, you would score that 
>ballot as
>C1(0), C2(0), C3(0), C4(1), C5(1), C6(1).
>  
>
Uh oh. If that's the case then I'm not simulating Borda. My 
interpretation is based on the definition,
"For each ballot, each alternative is given one point for every other 
alternative it is ranked above, and 1/2 point for every other 
alternative it is ranked as equal to. The alternative with the highest 
total score wins." C4 is ranked above C1, C2, C3 (one point each) and 
equal to C5, C6 (one-half point each): 1+1+1+1/2+1/2=4.

Ken Johnson