Two things really.
Through my travels, I've met some insanely wealthy people (most were borderline billionaires, some were actual billionaires) and I've been told once you reach a certain income level, having something that is rare or something nobody else has is their way of standing out among their friends. If all your friends have more money than god, you need something especially expensive or rare that isn't acquirable from simply being able to buy it.
Secondly, wealthy art collectors are notorious for buying rare, stolen art. There's an entire underground for it. I've read several books on it and you'd be surprised at how many pieces float around in the underground market without anybody ever knowing about it. I've had friends who run in the art circles comment on a famous piece that was being displayed in a person's home and they ask about it and they brush it off and say, "Meh, it's a replication, I mean, it would be illegal to have the real thing, right?" with a wink and a nod to the person. Just the idea they have something no one else can have gives them plenty of enjoyment. Passing it off as a fake and the thought they're getting away with something also has something to do with it.