[EM] The quota and the quotient

[Richard Lung]

The quota and the quotient

Binomial STV combines a rational election count with a rational 
exclusion count. The election count is conducted, in the normal way, in 
order of the voters preferences. The exclusion count is conducted in 
exactly the same way (symmetrically), but with the preferences in 
reverse order.

The election count elects candidates. The exclusion count excludes 
candidates.

But some candidate may be both elected and excluded. ("Schrodingers 
candidate" as Forest Simmons might say, tho this term is poetic license, 
here. Binomial STV does, however, like quantum physics, deal in 
probabilities.) Their election keep value can be compared with their 
exclusion keep value.

The keep value is the quota divided by a candidates vote, including 
preference transfers.

The election keep value is divided by the exclusion keep value. If this 
over-all keep value, or quotient, is still unity or less than unity, the 
candidate is relatively elected, by the quotient. That is as well as 
positively elected by the quota.

If two such candidates are so placed, for one remaining seat, the 
candidate with the lower quotient is elected or wins.

The quota is a more powerful measurement than the quotient, because the 
ratio scale is more powerful than the interval scale. Occasionally the 
quotient may arbitrate, when election and exclusion quotas conflict.

Does this seem consistent, or not inconsistent, to you?

Regards,

Richard Lung.

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