Cyberbullying is using any electronic device or website to harm someone else. This includes insulting, revealing personal information, and harassing them. Involves the use of information and communication technologies to support deliberate, repeated, and hostile behavior by an individual or group that is intended to harm others.
The behavior typically occurs via, e-mail, instant messaging, and chat rooms, and can result in traumatic experience for the recipient. The bullying may be in the form of threats, spreading of rumors, or humiliation.
So would banning anonymous comments reduce cyberbullying??
A person who posted an anonymous comment can still be tracked down by using their IP address. Every computer has their own unique IP address that can be used to find the person who made the comments. Figuring out the IP address takes some software but once you have it the internet is all you need to locate the computer.
Banning anonymous comments would only make it easier to see who made which comments. It would do nothing to discourage people from making them. Bullies do what bullies want to do and they do not usually think about consequences.
Therefore, that question is more opinion. There isn't an answer. Some people think it should, others think it shouldn't be banned.