The steps 1...3 you described are literally "the demand for housing will gradually fall". What follows is, naturally, gradual lowering of the prices, with subsequent stabilization and rebirth.
Curiously enough we observe the same patterns in nature: a species out-grows its prime ecological niche; the population starts falling down (usually without outright crashing), and then stabilizes at the optimum point. The cycle repeats.
The only possible source of instability in the whole housing/population cycle would be the government trying to prop up the house prices once the price correction starts. Some people have this misbegotten idea that real estate has to be a magical kind of investment that always appreciates in value.