The interesting problems in a price cap system are about allocation. You’ve torn down one way of deciding who gets the house next. What do you replace it with?

Do the neighbors vote on their next neighbor? The city council? An impersonal bureaucracy? What factors does it consider? Are there priority quotas for people meeting certain criteria? What criteria? How many people? Who decides? Who decides if an individual meets the criteria? How do we keep them honest? Can their decisions be appealed, can normal people afford to appeal them?

I don’t think it’s impossible to come up with good answers here, but that’s the work. The mechanism design here is extremely important, and it’s not “simple.”