<p>I think the way to achieve the highest rate of satisfaction would be to minimize the total choice sum – i.e. if everybody got put in his/her first choice, the choice sum would be ~1000, if everybody got put in his/her second choice, the sum would be ~2000.</p>
<p>I mean, that’s not necessarily true, but it’s all the information they have to go on. </p>
<p>It might be interesting to see a lottery where freshmen could assign weights to their choices.</p>