Reply to More info on common lottery algorithm

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[quote=Anonymous][quote=Anonymous][quote=Anonymous]Well, except it's not that they take your #, go to your first, second, third, etc. I think it's the bidding process described on the last thread, so everyone makes a request of their first choice, and based on the lottery order each school has they accept/deny, but it's only temporary. Then people not assigned make a request to their next-ranked school, etc. It's the student-initiated deferred acceptance algorithm. I think it's too bad if they don't use the New Orleans additional feature where trades are made. Seems like that would lead to mutually-beneficial outcomes. [/quote]

The way the DC system is structured mutually beneficial trades are impossible. This is because in effect they do take each bidder and go first, second, third, until a seat is found. At the same priority level, a person with a better lottery number will never lose a seat to a person with a worse lottery number because of their relative rankings. A lower-ranked person can never have what a higher-ranked person wants, so trades are impossible.[/quote]

No, that is incorrect. That is not how the deferred acceptance algorithm works. Essentially, what matters most is preference (IB, Sibling, etc.) and then within those preferences it is random assignment by lottery number. So it could be that I get into school B and you get into school A, but I've ranked A higher than B and you've ranked B higher than A, and a mutually beneficial trade would be possible. That's why New Orleans after running the deferred acceptance algorithm then tries to make trades to get to the best outcome possible for everyone. It does not sound like DC is doing this last part of the model, and that's too bad.[/quote]

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