The game is an interesting one. If an opponent declares an intention to always choose one, you’re more or less forced to collude with other players to beat him.

The game is an interesting one. If an opponent declares an intention to always choose one, you’re more or less forced to collude with other players to beat him. With 3 players this is possible to execute without needing to trust the other person. They cannot fake it out to harm you. But you cannot do anything to avoid purposefully giving the win to another player.