Bullies are not high performers. But it might look that way. An article on workplace bullying in the Harvard Business Review explains how star performers are often targets. The purpose of this kind of bullying is for the bully to take credit for the victim’s achievements. In an organization with bad leadership, they sometimes succeed. If that happens, the bully is unfortunately considered a valuable high performer and is even less likely to face consequences.
You can fight this kind of bullying by working to create an appreciative environment. Whenever there is an opportunity, publicly thank your colleagues for their good work. This creates a workplace where others will also praise your work. Once everybody is happy to give credit where it is due, the bully has nothing to steal and will often leave the team.