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[quote=Anonymous][quote=Anonymous][quote=Anonymous][quote=Anonymous]What is the "switching" problem?  I have no desire to read 25 pages to see if this term is defined.  It was not in the cited page.[/quote]

[b]There's a mechanism to switch options if two kids are admitted to different schools but they each have a higher preference for the other.[/b]  If you run separate lotteries you can't do that, as you would have to jump the waitlist to pull a kid up.  With a unified lottery it works out and benefits both parties.

All of this was gone over in that thread.  There are still only x number of seats for y number of students.  The common lottery does not change the odds of you getting in to any school.  It just simplifies the process, prevents shuffling, and distills your odds into a single number, instead of a whole bunch spread out over different waitlists.  When you enter your odds are the same under either system.[/quote]

Where is your cite for this being how the Common Lottery was run this year? In the bazillion threads on this (including some people who were specifically speaking to Common Lottery staff about it), it was made crystal clear that that switching wasn't happening, which actually is a huge bummer.  It was clarified over and over again that the ONLY way that your own ranking of the schools on your list matters to what school you actually end up in is that if you get into one of your higher choices, you are dropped from consideration for all choices below.

You are describing a system where, once the lottery does it's thing, the program actually looks to see how everyone ranked their choices and where one student got a slot at a school they ranked #4 and another student got a spot at a different school they ranked #4, the computer would look at their higher choices to see if each student ranked the other student's school 1-3, and if so, swtich the students so they get one of their better choices.  Nothing anyone said as the lottery was being rolled out indicated that this "switching" was going to happen.  I really like the idea of switching, but it was made pretty clear that wasn't part of the actual process this year.

What is your source for saying that indeed that is what happened?[/quote]

New poster, I believe you are correct. I think the system doesn't have "mutually beneficial trades" because under the algorithm there are no equivalent swaps. There will always be one student that has a better combination of number+preference so there's no need to trade.

(not a stats person, so please correct me if wrong)[/quote]

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