Reply to More info on common lottery algorithm

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[quote=Anonymous]This is what the FAQ says:
[quote]
The matching algorithm assigns each student a [b]random lottery number[/b] and attempts to match each student with his or her first choice first, then his or her second choice, and so on. A student’s ranking of schools (the order a student puts schools on his or her application) is critical because the matching algorithm attempts to match each student with his or her first choice first, then his or her second choice, and so on. However, when the matching algorithm is comparing two students who have applied to the same school, the decision is based on two criteria: (1) each student’s preferences at that school (e.g., sibling preference); and (2) if there is no difference in preferences, [b]each student’s randomly assigned lottery number[/b]. The students’ rankings of the schools are not a factor at that point in the process. This is why the system is strategy-proof — and why students are best served by ranking schools according to their true choices (the school they most want to attend first, then their second choice, and so on). [/quote]

It's pretty clear to me that there is only one lottery number, that both bolded sections are referring to the same thing.[/quote]

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