In 99% cases it's the government/zoning rules that prevent increasing the supply of housing not private investors not wanting to build enough.
The private investors won't do infrastructure either - it is expensive - so they want to build where the infrastructure is already in place. So that's why we see trying to increase density.
So the zoning rules are there as a conterweight to this.
In any case, my point is that applying market rules to housing does not make sense, it's not a competitive market at all and never can be.