Reply to The downside of the DC school lottery

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[quote=Anonymous][quote=Anonymous][quote=Anonymous]Also, the "game" is repeated with high positive serial correlation whereas the DC Lottery implementation and associated proofs of efficiency assume only a single "game".  [/quote]

Please expand on this thought. (Formatting corrected)[/quote]

The nice clean proof of the "optimality" of this algorithm rests on many debatable assumptions.  One assumption is that this matching happens only once. Of course, the DC lottery happens every year.  Ostensibly, the lottery result for this year only effects next year.  However, this isn't true.  It is a repeated game where prior results and future anticipated results effect what I should do.  For example, if you don't like your in boundary middle school, it makes sense to consider giving yourself some options by giving ordinal preference to schools with future preference at other middle schools.  Since you can always switch to your in boundary middle school later, this option seems very valuable to some folks.  It may be by the time you realize this later, it is too difficult to get into these other paths. This is the kind of strategizing the algorithm purports to stop but it doesn't.  Let me think about this more to give a more thorough discussion.  I should add that I'm probably wrong but it seems clear they haven't done any modeling of this as the repeated game that this is. Yep, I know about the Nobel Prize, blah blah blah.

People want optionality and risk management not absolute feality to dubious ordinal preferences with a one year look ahead, especially since life is uncertain.
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