The rich sharing their homes with many other people would reduce demand as well I guess. But they don't because they can afford not to. Some may argue that the

The rich sharing their homes with many other people would reduce demand as well I guess. But they don't because they can afford not to. Some may argue that the rich help in the supply by building new houses, but that makes them even richer. If it doesn't, they don't bother (a point from this article).