I don’t have an opinion on ‘injustice’, or what, if anything, should be done about it. It seems like, for any limited resource with more demand than supply, SOMEONE isn’t going to get what they want, and will feel aggrieved. This is true regardless of selection mechanism.
I do want to point out that the admissions case isn’t simply about legibility, it’s also about incentives. When you say
For simplicity, let’s let qi = the objective chance of completing your graduate program.
You’ve moved quite a few steps away from the actual optimization objectives, which are a mix of graduation statistics, future donations, future “prestige” from well-regarded attendees, and providing attendees with socially-desirable peers. Many of these correlate pretty strongly with Prestie applications.
I don’t have an opinion on ‘injustice’, or what, if anything, should be done about it. It seems like, for any limited resource with more demand than supply, SOMEONE isn’t going to get what they want, and will feel aggrieved. This is true regardless of selection mechanism.
I do want to point out that the admissions case isn’t simply about legibility, it’s also about incentives. When you say
You’ve moved quite a few steps away from the actual optimization objectives, which are a mix of graduation statistics, future donations, future “prestige” from well-regarded attendees, and providing attendees with socially-desirable peers. Many of these correlate pretty strongly with Prestie applications.