The multiplayer rules state:
In a 4-player game, players may not play cards on the player sitting across from them--only on their neighbors.
For a direct attack card like Panic or Crisis, this is straightforward. But can we still interact with that player as long as the ultimate target is one of our neighbors? For example, what about Mimic ("Choose any rival's exposed Deed. Play a copy of that Deed's ability.")? Let's say I am Player One. I play Mimic and copy Player Three's exposed Panic and then target Player Four with the effect. Is this legal? Although I interacted with the player across from me (Player Three), I technically played the effect against my neighbor (Player Four).
I base the above interpretation on the rule that if a chain ultimately targets a player, that is the player who gets offered the card (not anyone else who's cards I may have interacted with during the chain).