Don't read the above as if all rich people are trying to keep score in some way. A large majority of them are just trying to live their life. Even when it appears they're keeping score you typically discover they like the art and that's why they have it. they couldn't care less if you have more or less than them. They might be jealous if you own the particular original that they're looking for but they're not keeping score against you with it.
Which is good for me and probably the vast majority of those reading this because we have the ability to earn decent amount of money as an engineer and with some investment we can have a nice life and retirement but we will never be anywhere near the top of any attempt to keep score.