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I'm not sure I follow the claim being made for point #3. The SF Fed paper you cite is one of many papers clearly establishing a link between average incomes and home prices. This is a worthwhile insight

But it also aligns neatly with mainstream economics and the mainstream conclusion on housing prices - of course we'd expect home prices to align with average income in a supply constrained environment! Those conditions are ripe for relatively wealthy people to bid up the cost of an in demand asset. No housing economist is arguing that not enough supply is being built to keep San Francisco at some steady-state population. The policy argument is that homeowners intentionally utilize zoning laws to bid up the cost of their real estate by weaponizing supply-demand mismatches so that only the wealthiest people can afford their houses. The counterfactual you are arguing against isn't a magically less expensive San Francisco with about the same population as today. It's a less expensive but likely several times more populous San Francisco where there arent obnoxious regulations on housing supply. The fed paper completely ignored all the people that would move to San Francisco, but can't.

Can you explain more clearly what I am missing? I don't see how the SF Fed paper meaningfully argues against the mainstream view that high housing costs are due to supply constraints at all, although the authors clearly intend to frame it that way. The point you added about lower COL metros like Houston being able to add more housing because people who live there also needs more explanation - the average Houston transplant makes significantly more money than native Houstonians! Transplants being relatively high income is true for all major US metros, but only metros with limited government interference in normal housing markets have maintained housing affordability.

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