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[quote=Anonymous]Found this more detailed description of the Denver system, which is designed by the same team and has been described as the model for the DC system:

http://www.aplusdenver.org/_docs/FINAL_TC%20Letter%20to%20Denver%20Community%20Members.pdf

Can't cut and paste properly, but the algorithm steps are described in page 4 of that pdf.  Key things I took away

The lottery is run for each school, based on the ranking of the students of that school.  So all the students who ranked that school #1 are run through the lottery and randomly assigned.  Then the students who ranked it #2 are slotted in below them, etc.

This also helps:

http://media.nola.com/education_impact/photo/diagram-enrollment-041512jpg-aea0b995c0aa929b.jpg

That's the New Orleans system.  It seems to me to imply a lottery for each school individually.

These are all designed according to the so-called "Deferred Acceptance Algorithm", which goes back to 1962.  It's commonly accepted to be the best way to do this sort of thing.

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