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Maybe in your fantasy land but not in Los Angeles or California
Here's a chart of new housing in 2024 for major cities in Texas and California:
https://m.stacker.news/117007
Here for comparison is the median home price in those same cities in 2024:
https://m.stacker.news/117010
Now, I live in Texas, so I can attest to it being an ugly wasteland, but at the same time, I suspect the difference in price is not wholly tied up in this aesthetic value: California can't build houses.
In case you believe California has a much higher number of illegal immigrants, the numbers I could find were these:
California has 2.3 million illegal immigrants. Texas has 2.1 million https://nchstats.com/largest-illegal-immigrant-populations/.
I'm not buying the "too many people" explanation of home prices (nor of any other thing).
You deliberately ignore apartments and multi family housing units.
Let's say population in CA and TX is now 100 million people... by your stupid logic, this has no impact on the price of renting or home ownership
Let's say the population is 1 trillion people... by your dumb logic, housing market works at 1 person and 1 trillion people
The reason healthcare costs are exorbitant is not (laughably) how many people there are; the reason costs are high is because stupid-ass regulations have turned the market into a shitshow.
The same for housing. It's not like all the houses are filled up with illegal immigrants but poor joe the plumber could afford to buy one if there were just fewer people here. What's happening is cities have regulated the piss out of housing and it's expensive to build in most places in the US. On top of this, the government subsidizes home ownership by pushing mortgages. Of course the price of housing is going to go up when you point a firehouse of money at it.
But beyond this, I don't believe numerical size of the population has much to do with the price of anything. A market works at 10 million people and it works at 100 million people.