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There is very much evidence that building more housing decreases the price of housing. I'm not sure why you think there isn't. https://www.upjohn.org/research-highlights/new-construction-...

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then why are the places with the most units the most expensive? the research seems bad - they use a simulation, not actual data.

> then why are the places with the most units the most expensive?

Because the most people want to live there and population is growing?

There are plenty of high density old towns all over Italy that are dirt cheap because nobody wants to live there anymore. You can buy a whole house for $10 in a town built for such high population densities that streets are a meter wide.

indeed! which is my point. density does not make it cheaper.

Dense housing also doesn’t make it more expensive either.

You've got it the wrong way around - expensive areas (usually because of lucrative local jobs) densify because it's how you can still turn a profit despite expensive land. Cheap, poor areas don't densify because the land is cheap, and the way to turn a profit is to build big houses that can still attract some people.

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