You cite the Gale-Shapley papers, but are you aware that the school-choice mechanism you described is called the “Boston mechanism” in the field of mechanism design? Because, well, it was also the system in place at Boston Public Schools (until the early 2000s, when they changed to a Gale-Shapley algorithm).
Pathak and Sonmez (2008) is the usual citation on the topic, and they find (as you suggest) that the change makes the most “sophisticated” parent-players worse off, but the least-sophisticated better off.
Interesting! That Boston Public Schools switched from this mechanism to Gale-Shapley seems like it might be useful in convincing our school board (which is separate from the BPS school board, since schools are municipality-level here) to switch.
In case it would also help to have two-to-three Harvard and/or MIT professors who work on exactly this topic to write supporting letters or talk with your school board, I’ll bet money at $1:$1 that I could arrange that. Or I’ll give emails and a warm intro for free.
You cite the Gale-Shapley papers, but are you aware that the school-choice mechanism you described is called the “Boston mechanism” in the field of mechanism design? Because, well, it was also the system in place at Boston Public Schools (until the early 2000s, when they changed to a Gale-Shapley algorithm).
Pathak and Sonmez (2008) is the usual citation on the topic, and they find (as you suggest) that the change makes the most “sophisticated” parent-players worse off, but the least-sophisticated better off.
Interesting! That Boston Public Schools switched from this mechanism to Gale-Shapley seems like it might be useful in convincing our school board (which is separate from the BPS school board, since schools are municipality-level here) to switch.
It might!
In case it would also help to have two-to-three Harvard and/or MIT professors who work on exactly this topic to write supporting letters or talk with your school board, I’ll bet money at $1:$1 that I could arrange that. Or I’ll give emails and a warm intro for free.