Hey Emily, I’ve played 2 games with programmed movement, “Robo Rally” and “Colt Express”, both amazing games. But the mechanic is basically, all players play a series of movement/action cards simultaneously. And the turn order will determine which cards are played when.
The movement/action cards usually are directions like Up, down, etc and an attack. So you may place a sequence of these cards thinking you’re going to get to a point, but based on what someone else played, you may be thrown off course. This leads to some very chaotic and usually fun moments.
It’s one of my favorite mechanics, I’d love to design it into a game someday.
If you get the chance to play either of those games, I would highly suggest it.