so...is there an incentive to deviate from "clomper picks 1, opponent picks 0, first clomper wins?"
If you pick 1, and opponent picks 1, then no score.
But if opponent picks 1, and you pick 2, then you will win 3 points.
If your opponent thinks you are going to pick 2, he can pick 3 for 5 points. But if you go 1 instead, then you win 1.