Vitenka/SyndiCatsTwo

Not even a quarter baked yet:

Based on the observation that organised crime can use the "Better to ask forgiveness than get permission" just as well as silicon-valley criminals; and take advantage of the lag in official response.

You get to do bad things. Factions (if this wasn't cat-themed, they'd be politicians, police, press and public) get to notice those actions a different times depending on faction alertness to that type of badness; which triggers a response including making them more alert to that (and probably less alert to other things).

Eventually, you can take over some of the factions, and thus avoid ever being caught.

Attacking other players should be potentially lucrative, but risky.

I'm thinking it's probably "Pay to take cards from the river to hand, assemble sets for actions" as a mechanic. Probably getting cards raises suspicion (and lets other players fear you're assembling an attack on them) while spending the sets gets you the benefit while triggering the check for your getting arrested.