Just from personal experience. My two sons and sometimes my daughters have played and still play, video games. They started when they were very young, under ten. Now that they are grown they have a big collection of games. My eldest son who is 25 played them at his job as a games tester working at Sony.
I don't think the games have made any of my children violent. They have spent many happy hours with each other and their friends in my house playing games. They are all lovely, caring children, including their friends.
The only thing is as others have commented on. They were obsessed so much with the games they rarely played out and are not interested in sport. Although now they are grown up they go to the gym.