Does Violence lead to more Violence

I think it does because if someone starts a war than the other person wants to fight back, he wouldn't just do nothing, he would fight back. In the play, after Caesar dies and the crowd finds out by means of Antony, they want to riot against the senate. But Antony wants them to revolt against the senate at the right time. And also when the towns people kill Cinna the poet just for his name, and they did that because Cinna the conspirator was one of the people who killed Caesar.