Quota Borda system: Difference between revisions

The description of the Quota Borda System QBS,
(Created page with "QBS is a multiwinner generalization of the Borda count designed to pass PSC. It works by assigning seats based on how many quotas (usually Droop) candidates...")
 
(The description of the Quota Borda System QBS,)
 
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The Quota Borda System QBS is a PR electoral system for use in multi-member constituencies.  Imagine a six-seater constituency in a plural society of three dominant groups, where the three groups are roughly 30:30:30.  (There were many such constituencies in pre-war Bosnia.)  Success in a QBS depends on a good number of top preferences and/or a good Modified Borda Count MBC score; see below.
QBS is a multiwinner generalization of the [[Borda count]] designed to pass [[PSC]]. It works by assigning seats based on how many [[Quota|quotas]] (usually Droop) candidates or groups of candidates have of top preferences, and elects among them according to their Borda scores.
 
== Notes ==
QBS can deny representation to minority groups that support irrelevant alternatives. 3-winner example:
 
Lest their members/supporters split the vote, the matrix vote – like RCV (PR-STV) – prompts all parties to nominate only as many candidates as they think might get elected.  At the same time, the MBC element of a QBS encourages the voters to submit a full ballot.  Accordingly, in a 6-seater 30:30:30 constituency (in Bosnia), each faction could expect to win 2 seats; at the same time, those parties which do not fall into one of the country’s three ethno-religious categories (like Bosnia’s Social Democrats) might also hope for some success.
1: '''c1, c2, c3''', e1, e2, e3, e4, d1
 
1: '''c2, c3, c1''', e1, e2, e3, e4, d1
 
Now in many countries, not least those democracies which make decisions in binary votes, societies tend to divide into two: left- or right-wing, socialist or capitalist, and so on.  Likewise, in many societies already divided, each ethno-religious grouping tends itself to divide into two, to have a more radical and a more moderate party; (this was true both in Northern Ireland and in Bosnia).  Accordingly, in a 30:30:30 constituency, each of the two main parties in each ethno-religious grouping, might like to nominate 2 candidates; but no grouping would want to nominate more than 4.   Meanwhile, others like the Social Democrats might also have a good chance.  So that’s 14 candidates already, but not too many more.
1: '''c3, c1,''' ''<u>d1</u>''''', c2''', e1, e2, e3, e4
 
6: e1, e2, e3, e4, c1, c2, c3, d1
 
Come the vote, every voter would be encouraged, by the MBC element, to cast a full ballot of 6 preferences.  In this way, QBS entices voters to cross the gender gap, the religious divide and even the sectarian chasm; the methodology is ideally suited to plural societies, and especially conflict zones.
4 : e1, e2, e3, e4, c1, c2, c3, d1
 
5 : e1, e2, e3, e4, c1, c2, c3, d1
 
In a six-seater constituency, the analysis proceeds as follows, counting:
6 : e1, e2, e3, e4, c1, c2, c3, d1
 
(a)        all the candidates’ 1<sup>st</sup> preferences;
7 : e1, e2, e3, e4, c1, c2, c3, d1
 
(b)       all the candidate pairs’<sup>[1]</sup> 1<sup>st</sup> and 2<sup>nd</sup> preferences; and
8 : e1, e2, e3, e4, c1, c2, c3, d1
 
(c)        all their MBC scores.
9 : e1, e2, e3, e4, c1, c2, c3, d1
 
 
Had d1 not run, there would've been a Droop solid coalition for c1-3, guaranteeing one of them a seat. But instead, e1-3 all win. This is an example where the [[Expanding Approvals Rule]] and STV, two other common PSC-compliant methods, would elect one of c1-3.
At each stage, if there are still candidates to be elected, the count proceeds to the next stage.  In the analysis:
 
Part I
 
         stage
 
(i)        all candidates with a quota of 1<sup>st</sup> preferences are deemed elected;
 
          (ii)        all pairs of candidates with two quotas of 1<sup>st</sup>/2<sup>nd</sup> preferences are elected;
 
then, in
 
Part II, in which any candidates elected in Part I, in stages (i) or (ii), are no longer counted,
 
          (iii)       candidates with the highest MBC scores are elected.
 
 
QBS has only one count, albeit of three different types of totals: (a), (b) and (c); next, in the analysis, three different stages.
 
 
'''References''':
 
 
Dummett, M               1984, ''Voting Procedures'', Oxford University Press, Oxford.
 
Emerson, P                  2016, ''From Majority Rule to Inclusive Politics'', Springer, Heidelberg.
----[1]                Consider, for example, the situation (which existed in Northern Ireland) where a father stood alongside his son.  If ''x'' people vote 1<sup>st</sup>/2<sup>nd</sup> dad/son, while ''y'' people vote 1<sup>st</sup>/2<sup>nd</sup> son/dad, and if ''x + y'' <u>></u> 2 quotas, then this dad/son pair is said to have two quotas.
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