My wife thinks I'm addicted to video games.

no problem in my book
forgot to add
http://able2know.org/topic/84804-1

I would think addiction is when something you like to do-like in your case playing video games is something that affects your normal, everyday life. If you play videogames with very important or somewhat important things to be done and you cannot stop thinking of your games for the most of the time-yes you have some form of addiction. If stopping to play those games is not something easy for you to do and will cause some form of struggle from your side-yes, you are addicted.
But if everything is fine with everything, and nothing else is to do but to kill some germans in your WWII games, than it is just simple boredom.

This is not an addiction this is a hobby or interest.

See if you can quit.

For 2 weeks.

If it's affecting relationship, finances, health, career or school, or self - it can indicate a problem.

PS: You say 2 hours; I suspect it's much more.

Most people watch TV for more than that.

But, 'addiction' can be an inability to drag yourself away from them to do things that are more important, or an inability NOT to go to the video game on any given day.

Ask your wife how she defines /what she means by you being addicted to video games. Then ask her how it affects her, and your relationship.

Those are the things you really need to talk about.