Probably not. Or at least not in a meaningful way.
1) Initially you won't know if a car is autonomous or not. So how will one know, at a glance, whether or not bullying will win. Even today, my current car has multiple sensors, multiple video cameras, assisted steering, lane following and smart cruise control. It is not a Tesla. The only difference between it and an autonomous car is the smarts of the autopilot. There is no way for someone to know, at a glance, whether I have a fancy trim package or a full autonomous vehicle.
2) Autonomous cars have black boxes (including video) that will demonstrate who the bully is after an incident. This will certainly prevent most people from trying to game the system, because the legal penalty will be high if they cause a wreck being a bully.