Rather, they would be stuck paying rent and hopefully have enough savings/Social Security/other income to cover it as long as they needed.
Future generations CANNOT keep growing like that. Be it by directed reproduction limits or global resource wars/pollution/plagues/extinction from the preceding the population will shrink.
[1]https://www.wolframalpha.com/input/?i=us+population+growth
Population growth in the US is slightly declining and generally remaining flat, although life expectancy is increasing.
So it seems likely the older people will need their homes longer than previous generations. When they die they might pass them along, but that certainly doesn't happen to everyone, and in many cases they might be sold, increasing supply.
That said, home value distributions are interesting. Jobs are stagnant or disappearing throughout much of the country, and it is primarily the cities where people are increasingly moving due to availability of jobs. This means those cities are much more desirable, and there is still too little supply, even with people turning things over to children.
Realistically though, the vast majority of the population has near non-existent savings. Many of these Baby Boomer retirees will need to downsize, reverse mortgage, or do something to tap their home for cash as that is still by far and away most families biggest investment. This might point more to the house being sold.
Still won't be enough to meet demand though in big cities since that is increasing, not decreasing. And if fewer are living in places without jobs, those homes may not be options for many families.
But of course they didn't-- because they didn't earn enough to save-- just like people nowadays.
Social Security is insurance against destitution in old age. It really doesn't function to take away any saving incentive. It just keeps old people from being homeless and starving.
http://www.wsj.com/articles/SB109520630433518093
http://query.nytimes.com/gst/fullpage.html?res=9B0CEFDE1E38F...
Pre social security, it was common for the elderly to end up like that.