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...and that would reduce efficiency again. It's not at all clear that the loss of efficiency from false preferences is smaller than the loss caused by students getting each others preferences.

In fact, the article is a little too kind to the option of trading places. It presents a clean choice between fairness and efficiency: trading harms the former while boosting the latter. In fact, trading will reduce future efficiency due to strategizing; it may well be that trading is a straight-up de-optimization in all but the current round.



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