Exponential growth can continue forever if you shrink the universe of things you're measuring and declare the losers out-of-scope.
Europe, by the 1500s, was running out of land and resources. So they found a whole new continent, genocided the native inhabitants, and suddenly there's plenty of land & resources to support anyone who comes over to the New World. America by about 1880 was about out of land for westward expansion, so invented steel, concrete, elevators, skyscrapers, trains, and urbanized, making land irrelevant. The industrial revolution had largely run its course by 1914, but then we had 2 world wars that devastated Europe and made America the engine of rebuilding. We got to keep our exponential growth, but a lot of folks just...died.
Single-family homes are likely to become a luxury good. Not everyone is going to have them, and prices will keep increasing as they move up the income spectrum. What happens to everyone else depends on whether you believe the world will end in fire (war) or ice (dystopia).
Most countries birth rate falls off as they become more developed. There’s estimates that the world population will stabilise around 11 billion. I don’t think there’s any theoretical reason why high quality affordable high density housing is impossible.
It won't be SFHs though, and it remains to be seen whether Americans will accept that without conflict.
A condo/apartment future is actually pretty likely, and achievable. NYC and most of the non-US world went that way in the 50s, and a lot of Silicon Valley cities (which were previously all suburban sprawl) have been constructing those 4-over-1 condos like crazy over the last 10 years. Even notoriously anti-development SF Peninsula cities have gotten in on it.
But that's largely not where the real estate feeding frenzy is - condo prices are up, but nowhere near as much as SFHs. Turns out a large proportion of Millennials still want a detached house with a yard in a good school district, the same thing that the past several generations wanted, but that dream is increasingly unrealistic.
Europe, by the 1500s, was running out of land and resources. So they found a whole new continent, genocided the native inhabitants, and suddenly there's plenty of land & resources to support anyone who comes over to the New World. America by about 1880 was about out of land for westward expansion, so invented steel, concrete, elevators, skyscrapers, trains, and urbanized, making land irrelevant. The industrial revolution had largely run its course by 1914, but then we had 2 world wars that devastated Europe and made America the engine of rebuilding. We got to keep our exponential growth, but a lot of folks just...died.
Single-family homes are likely to become a luxury good. Not everyone is going to have them, and prices will keep increasing as they move up the income spectrum. What happens to everyone else depends on whether you believe the world will end in fire (war) or ice (dystopia).