Oh hey! I sometimes play a game called Cosmoteer that has deterministic lockstep multiplayer. That means in multiplayer every game has to synchronize on the exact same tick, receive all inputs from all other players and apply them on their exact same ticks, etc. The entire session is bottlenecked by the slowest player's machine. But it's very cool.

If any player desynchronizes, their state has to be erased and then completely re-sent from scratch so that they can start processing inputs correctly again.