I for one can say that I've played video games all my life, and I have not once had the urge to go out and shoot someone, or hurt someone just for kicks and giggles.
I do think that children tend to copy what they see. However, I believe that as you grow up, you learn to understand what is reality, and what is not. You learn what is okay to do, and what is wrong. It comes with being a child.
So, there is little to almost no link to video games causing someone to be violent, or to turn out violent.