Originally Posted by lastcardcharlie
I was going to ask for the multi-player strategy but assumed it would be horrendously complicated.
I would guess that it starts with every player picking their values at random.
It probably also has Player 1 guessing either 4 or 5 at random (50/50) since these are the two most common values given that everyone picks randomly.
Player 2 will need some sort of mixed/balanced strategy to hide information from Player 3, and that's probably where things get ugly.