[EM] A 48% Group elects 60% of the Droop Members

David Catchpole s349436 at student.uq.edu.au
Sun Nov 14 22:49:10 PST 1999


That's Droop with the addition of districts- remember that Hare can do the
same! My request is for you to find an example for Droop with only one
undivided district.

On Sun, 14 Nov 1999, Donald E Davison wrote:

> Greetings,
> 
>  The following is an example of a 48% group electing a majority of the
> Droop members.
> 
>  * 100 members are to be elected in 25 districts - 4 member districts.
> 
>  * 1000 voters per district - 25,000 total votes in election.
> 
>  * Droop Quota is 200 (1000/5)

HQ=250

> 
>  * The 48% group has 12,000 total votes - distributed as follows:
> 
>      The group has 600 votes in each of 10 districts.
>          In which they are able to elect 3 members per district.
> 
>      And 400 votes in each of 15 districts.
>          In which they are able to elect 2 members per district
> 
>  * Total members elected by the 48% group is as follows:
> 
>         10 districts electing 3 members each equals 30 members elected.
>         15 districts electing 2 members each equals 30 members elected.
>                                                   -----
>   Total number of members elected by the 48% group: 60
>         (60 of 100 is 60%)
> 
>      It is possible for a 48% group to elect 60% of the members.
>      In a real election the numbers will not fall this even and the 48%
> group most likely will elect less, like 54% of the members, but still a
> majority.
> 
>      Had the count of this election used the Hare Quota, and the 48% group
> attempted to lower their votes on their candidates in order to elect more
> members than their just representation, we could expect that the number of
> members now elected by the 48% group would be less than using the Droop. I
> say less because the group will not be able to lower votes with
> mathematical precision. But, when the Droop Quota is imposed on the STV
> election method, by agreement of the Droop supporters, then the cheating
> can be preformed with mathematical precision, also by agreement of the
> Droop supporters.
>      No matter which quota an election uses, for every member the 48% group
> elects over 48 members, some other group will lose a member.
> 
>      I claim that the real reason the Droop Quota has been made part of STV
> is so that the largest faction can elect a majority, even if that faction
> has less than a majority of the popular vote.
>      The Droop is corruption - corruption by agreement.
> 
> Note: I must point out that the main reason the 48% is able to elect 60% of
> the members in this example is because of the small districts. Had this
> election been held in One-Area of 100 seats, the 48% group would only been
> able to elect 48 members - using Hare or Droop, but the Droop makes it
> easier for the largest group to elect more members in small districts.
> 
> Regards,
> Donald
> 
>    +=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+=+
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>    |  "Democracy is a beautiful thing,                                 |
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