I think the wealthy man can pretty much always come up with something he wants... somebody to mow his lawn, wash his car, produce clever widgets in his factory, mine his uranium, stand guard along his borders, pick up his trash, farm the food that is sold in his grocery store, act in the movies he enjoys watching, be the serviceman that repairs the elevator at the apartment building where he keeps his mistress, heck, be his mistress...
Yes, I agree this is mostly the case today, but how long is the list of things that can't be replaced by self-supporting machines? I can only really see the creative arts as being uniquely human. Just how interesting is that?
I'm not talking about people not participating because they're lazy, I'm talking about people not participating because there is nothing to do.
Child care. Customer service. Actor. Director. Sex worker. Designer. And that's just a few off the top of my head. If it requires dangerous, dirty, or repetitive labor, it probably will be automated. If it requires thought, decision making, or creativity - or even just a "personal touch" - it will
not be automated. As Joel said, If someone cannot find anyone for whom he can do something, then he's the only one on the planet without everything he needs.