Everything that a person does regularly affects his brain. We think that video games may be good for the brain, at least some of them. 3D games and, in particular first-person shooters such as Call of Duty train terrain orientation and reaction speed. Puzzles and other games of other genres with many puzzles inside (the same RPGs like Divinity) train logic and problem-solving skills. Of course, the more difficult the game and the more mental effort it takes to solve the puzzle, the better.
Video games could affect your brain. Playing video games in moderation won't have an effect on your brain, but long periods of time spent playing the video games could have an effect on the brain. Any type of addiction could have an impact on the brain. Part of the problems on the brain from extensive video game playing would be visual problems.
When someone plays video games at such a young age and for many hours a day, there is scientific evidence that their brain will not grow to what it would had the child not been exposed to so much video game playing. Thinking and using analysis through the use of the brain occurs when a person is doing something productive.