Originally Posted by EvilSteve
The problem with this is that we have a game of chicken regarding which player finalizes their selection first. Once one player selects, there's no reason for the other player not to steal. So to get a random selection it really is necessary that neither player knows which ball is which.
Though you can get around that by declaring that if they don't commit within 5 seconds (or some set amount of time), you'll steal. But then once they select you should just steal anyway so if they agree to select first, they're stupid. Mutually assured ignorance of which ball is which remains necessary.
Eh, I'm assuming that you'll always have time to change if the other person changes. That is, both people point at one of the other person's balls. Then at any time, if they switch from the one to the other then I can always switch.
I'm sort of basing that off the video where (if I remember right) there was a bit of a delay between the contestants both selecting a ball and the balls being "locked in". So I could pick up the ball that the other person selected for me, and if they picked up the opposite ball I have the right to change my selection.
You're right though, if one person has to commit before the other then that strategy goes out the window. I just think the rules make that a non-issue since (I think) the commitment threshold is when the host says things are locked in, and I would think that the host wouldn't lock the picks in if people were obviously wanting to change.