I think the original question was about housing starts. It seems evident to me that, if new homes aren't being built, the demand on existing homes increases and drives up prices.
I would guess the underlying issue is high land prices (because it's a limited commodity in growing cities) and high building costs.
I remember talking to someone who was involved in a big non-profit building project in the 70's, and it was cheap, cheap, cheap compared to today (correcting for inflation). People in construction trades used to be poor, materials were cheap, there were fewer building regulations, etc. etc.
So, it's just not economical to build low cost housing, unless you can go to an area where land is cheap. Or you build condos.
So the trends are: persuade people to buy more expensive homes, increase urban density, or try to attract people to move to new communities with lower land prices.