Tons of housing and higher density appears to be working on London though.
https://www.forbes.com/sites/garybarker/2019/07/18/london-ho...
London has seen extremely high levels of house and apartment building. The market is being flooded with supply, and now prices have fallen 4.4% in the last year. So apparently it's definitely possible for even big global cities to get ahead of demand.
Before someone says this is related to Brexit and not the huge increase in supply, bear in mind that:
• For the whole country prices are still going up.
• That's because in regions outside of London they're going up above inflation, e.g. in the north west they went up 3.4%. But Brexit affects the whole country, so it doesn't work as an explanation.
• Prior claims about "uncertainty" affecting prices didn't pan out. Government economists claimed in 2016 that "uncertainty" would be such a strong effect it would cause a massive recession, instead the economy grew at a strong rate and unemployment hit record lows.
So it seems pretty clear to me that the simple, well understood economic explanation of supply and demand is sufficient to explain these results. New York could probably achieve the same thing if it built enough homes.