<HTML><FONT FACE=arial,helvetica><FONT SIZE=2 FAMILY="SANSSERIF" FACE="Arial" LANG="0">James Green-Armytage wrote:<BR>
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<B>Does anyone know of examples where the largest remainder method using the<BR>
Droop quota produces results different from the highest averages method<BR>
using the D'Hondt divisors? <BR>
Likewise, does anyone know of examples where the largest remainder method<BR>
using the Hare quota produces results different from the highest averages<BR>
method using the Saint-Legue divisors?<BR>
I assumed that there was a difference between these methods, but I don't<BR>
know how to go about constructing an example. Can anyone help? I would<BR>
sure appreciate it.<BR>
<BR>
</B>For Droop quota,highest remainder and D'Hondt highest average take the following example (100 votes, 5 seats) :<BR>
<BR>
List A 44<BR>
List B 29<BR>
List C 27<BR>
<BR>
Droop quota = 16.67<BR>
<BR>
List A 2 seats by quota, remainder 10.66<BR>
List B 1 seat by quota, remainder 12.33<BR>
List C 1 seat by quota, remainder 10.33<BR>
<BR>
Last seat goes to list B with a remainder of 12.33. Final result list A 2 seats, list B 2 seats, list C 1 seat.<BR>
<BR>
D'Hondt divisor system (1,2,3,......)<BR>
<BR>
List A <B>44 22 14.67</B> 11<BR>
List B <B>29</B> 14.5<BR>
List C <B>27</B> 13.5<BR>
<BR>
List A wins 3 seats, list B wins 1 seat, list C wins 1 seat.<BR>
<BR>
For the Hare quota, highest remainder and Saint-Legue divisor system take the following example (100 votes, 5 seats):<BR>
<BR>
List A 53<BR>
List B 35<BR>
List C 12<BR>
<BR>
Hare quota = 20<BR>
<BR>
List A 2 seats by quota, remainder 13<BR>
List B 1 seat by quota, remainder 15<BR>
List C 0 seats, remainder 12<BR>
<BR>
The last two seats go to A ( remainder 13) and B (remainder 15). Final result List A 3 seats, list B 2 seats and list C 0 seats.<BR>
<BR>
Saint-Legue divisor system (1,3,5,........)<BR>
<BR>
List A <B>53 17.67</B> 10.6<BR>
List B <B>35 11.67</B> 7<BR>
List C <B>12</B> 4 <BR>
<BR>
List A wins 2 seats, list B wins 2 seats and list C wins 1 seat.<BR>
<BR>
David Gamble<BR>
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