Most laws govern interaction between two or more people, how exactly are you going to have that work with privately selected sets of laws? Is everyone going to

Most laws govern interaction between two or more people, how exactly are you going to have that work with privately selected sets of laws? Is everyone going to have a little glowing icon above their head so I know what agency I'm dealing with? For N law sets, will we have N * N law set combinations when people from two different law sets interact? What about if there's three or four or five different ones at once?