District Quota Method

DEMOREP1 DEMOREP1 at aol.com
Wed May 20 15:43:24 PDT 1998

Mr. Davidson's "Comments on the Election Method to replace MMP" prompted the

It is possible to have district winners and a legislative body with a semi-
fixed size with the following mild complexity.   

Namely, have the number of districts be half the size of the legislative body.
Example- 100 members, 50 districts.

A voter would give a priority to voting for his/her areawide party candidates
or his/her district candidates and vote 1, 2, etc. for their choices of

If (a) a quota of voters (Total areawide votes/total seats   TAV/TS) in a
district have a district priority and (b) a district candidate gets a quota
using a single winner method (such as the Condorcet method), then he/she is

The district winner's votes in excess of the quota would be used to apportion
seats among the parties. 
If there is no district winner, then the votes are used to apportion seats
among the parties.

The lowest party fraction would lose repeatedly, as necessary.

Having a quota district winner requirement would minimize the so-called seat
overhang problem of MMP.


1. 100 districts, 200 members to be elected, 1,000 voters per district
Party G has a winner in every district who gets 501 first choice votes.
Party G thus gets 100 seats with 501 x 100 = 50,100 Party G votes

200 seats x  50,100 / 100,000 total voters = 100.2

Thus, Party G would have to get another (overhang) seat for overall majority
rule by Party G.

2.  A district has more than a quota of district priority voters (501).   A
Party M district winner gets 400 Party M first choice votes plus 150 votes
from voters who had Party S district candidates as a first choice. 
550- 501 = 49 Party S votes would be used in the apportionment areawide Party
S seats.

3.  Party M has winners in 42 districts.   Party S has winners in 35
districts.  The remaining 23 seats are apportioned among the parties using the
remaining using the standard formula-- Remaining Seats x Remaining Party votes
/ Total Remaining party votes.    Party M gets 3 more seats (total 45 seats),
Party S gets 9 more seats (total 44 seats).  Party Z gets 5 seats. Party T
gets 6 seats.

Note- in rare cases 2 candidates might get quotas in a district (that has an
above average number of voters).

I note my standard comment- it is possible to have a simple proxy method with
multi- member districts with the winners having a voting power equal to the
number of votes received.  No quotas. No fractions. No overhangs.

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