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The point is if nobody builds the nicer dwelling, the person with the money that could have afforded the higher price will just turf out a lower-earning person living in a worse ho…

How did you manage to find a housing price gradient that sharp? East Palo Alto vs. Palo Alto or something?

It is called "filtering" and the process is well-established. http://faculty.maxwell.syr.edu/rosenthal/recent%20papers/Is_...