Your argument about increasing demand for services isn't convincing. Since there are more people in the area, should supply be higher as well, balancing prices?
It seems more likely that costs are higher in cities because there are valuable opportunities for skilled people who demand high salaries, simultaneously encouraging dense living to maximize access and increasing cost of living through the Baumol effect. High prices causing density, not the other way around.
It seems more likely that costs are higher in cities because there are valuable opportunities for skilled people who demand high salaries, simultaneously encouraging dense living to maximize access and increasing cost of living through the Baumol effect. High prices causing density, not the other way around.