Quite a few EM's work like this. Little Joe comes to mind. The rules on the PF change constantly as your dice values change, throughout the ball.
In a multiplayer game, the last state the game was left in is rather randomly set for the next player that is up.
The questions also reminds me of stealing locks in games like Grand Lizard and Diner.
Rules on the PF change with every ball on the solid state version of Joker Poker.