I'm new to werewolf games, but I have lots of ideas. So, I must ask the question; has there ever been a Rock-Paper-Scissors type game of werewolf?

The idea I have running around in my head is that when someone from team Rock casts a vote to lynch a player from team Scissors, their vote counts as double. (And such is similar for the rest of the factions.)

Add that every player would get one "scoop" on one other player, knowing their allegiance, but not their power role, if applicable. The seers (1 for each team) would get a player's allegiance and role, and a Fool would get a random result for both, with each determined independently.

Of course, you'd need a group of players to be evenly divisible by 3 (any remainders could go to the neutrals) with every team getting the same power roles.