[EM] Detailed (but obvious) instructions for Adjusted-Rounding

Michael Ossipoff mikeo2106 at msn.com
Thu Jan 18 04:55:32 PST 2007

First, repeating the simple definition: AR is a divisor method, but instead 
of using a formula to find its rounding-point, it, during the trial of a 
particular quota, chooses each cycle's rounding point so that the sum of the 
seats awarded to the states in that cycle is as near as possible to the sum 
of the quotas possessed by those states. The quota giving 435 seats must be 
found by trial and error.

Detailed instructions:

Definition of trying a quota:

Divide each state's population by that quota, to get that state's q.

Cycle 0 contains the states whose q is less than 1
Cycle 1 contains the states whose q is at least 1 but less than 2
Cycle n contains the states whose q is at least n but less than n+1

For each cycle, add up the sum of the q of the states it contains. Round off 
to the nearest whole number. Divide that whole number of seats among that 
cycle's states in such a way that no larger state in that cycle has fewer 
seats than any smaller state in that cycle.

[end of definition of trying a cycle]

Try the Hare quota. The Hare quota is the U.S. population divided by 435.

If that trial doesn't award 435 seats, then find, by trial and error, a 
quota that does.

Suggestion: If a quota award, say, only 432 seats, then multiply it by 
435/432 to find the next quota to try.

[end of detailed instructions for AR]

Mike Ossipoff

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