Argument: Poker is skill because it matters who you play

[repulse]

No, I just meant any cash game where the probability that any given player being in any given position is equal.

For example, a heads-up cash game where an even number of hands was played would be symmetric. Each player is in each position an equal amount of the time. You'd just have to control that an even number of hands was played before one of the players quit.

The symmetric/duplicate poker thing is a good angle, too. It seems to have a better reception as being "skill" even though it presents some new sources of variance (you could lose a lot of money by folding K2s UTG if the guy at the other table donks around with it and wins a big pot).