RE [EM] question about PR allocation formulas

[Dgamble997 at aol.com]

James Green-Armytage wrote:

Does anyone know of examples where the largest remainder method using the
Droop quota produces results different from the highest averages method
using the D'Hondt divisors? 
Likewise, does anyone know of examples where the largest remainder method
using the Hare quota produces results different from the highest averages
method using the Saint-Legue divisors?
I assumed that there was a difference between these methods, but I don't
know how to go about constructing an example. Can anyone help? I would
sure appreciate it.

For Droop quota,highest remainder and D'Hondt highest average take the 
following example (100 votes, 5 seats) :

List A 44
List B 29
List C 27

Droop quota = 16.67

List A  2 seats by quota, remainder 10.66
List B  1 seat by quota,  remainder 12.33
List C  1 seat by quota, remainder 10.33

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.

D'Hondt divisor system (1,2,3,......)

List A  44  22  14.67  11
List B  29  14.5
List C  27  13.5

List A wins 3 seats, list B wins 1 seat, list C wins 1 seat.

For the Hare quota, highest remainder and Saint-Legue divisor system take the 
following example (100 votes, 5 seats):

List A 53
List B 35
List C 12

Hare quota = 20

List A 2 seats by quota, remainder 13
List B 1 seat by quota, remainder 15
List C 0 seats, remainder 12

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.

Saint-Legue divisor system (1,3,5,........)

List A  53 17.67 10.6
List B  35 11.67  7
List C  12  4 

List A wins 2 seats, list B wins 2 seats and list C wins 1 seat.

David Gamble







    
    

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