I mostly agree, but would add two caveats.
Relying too much on getting one very specific advisor is risky. Most advisors are middle-aged (or outright old), especially those with Nobel Prizes, and they do sometimes die or move away with little notice. If that happens, universities can be very bad about finding replacements (let alone comparably brilliant replacements) for any students cast adrift.
Also, an adviser’s personality & schedule are as important as their research skills: a Nobel Prize winner who’s usually away giving speeches, and is a raging, neglectful arsehole when they are around, is likely to be more of a hindrance than a help in getting a PhD. Put like that, what I just wrote is obvious, but I can imagine it being the kind of thing potential applicants would overlook.
Also also not an economist, although I took economics classes once.
I had a go at translating the simple model into one of those supply ‘n’ demand scribbles. For parsimony I assumed a straight line for the supply curve. For the demand curve I assumed no one bought more than the subsistence level of food, and that if the price was too high to reach that level, everyone simply bought as much food as they could with a constant budget.
That makes the status quo
and after a universal jump in income to relax everyone’s budget constraint, the non-vertical part of the demand curve rises:
At both times the intersection of S and D determines the equilibrium price. The intersection stays in the same place, so, in this incredibly simplified model, the equilibrium price is unaffected by everyone getting more money.
Being so primitive, this graphical model does not remotely prove that the price would stay the same in real life. But in trying to figure out why the graphical model disagreed with the verbal model, I managed to put my finger on why the two differ, and I think it’s a hole in the verbal model.
The verbal model observes that if people have $300/month, all of the retailers could jack the price of food up to $300/month, and everyone would be compelled to pay that. But that assumes coordination/cooperation/collusion between retailers rather than competition. If every food retailer raised their price to $300/month, any one of those retailers could swoop in and steal the others’ custom by cutting their own price to $299/month. And then another retailer could cut their price to $298/month, and so on. By the obvious inductive argument, the equilibrium price would wind up at the same $200/month it was before.