I believe that video games are a form of art. Art is a form of self expression which can catharsis us. We most often associate art with music, visual representations, and the written word, which can be described by stories. I'm going to try to explain this the best way that I possibly can, but I probably won't be able to convey it the way I see it within my mind:
The writer can make a story that is full of emotion, and he/she can create a person with whom the reader can relate to. However, the writer struggles with creating a mental image, or visual representation, of their story. This is where the painter comes into play. The painter can create works that are not only pleasurable to look at, but also draw forth emotions and memories. The trouble that the painter may find him/herself in would be setting the tone, or mood. Thus is where the composer makes his/her entrance. The composer creates songs that can soothe the mind and soul, as well as invoke powerful emotions. Something that I've noticed is that my memories, as well as those of my friends, all rely on sound. This is why certain songs can remind you of past experiences. If you recently had a member of your family die, and you began listening to a song with a sad tune to it, your mind will associate the tune with the emotions you felt when said family member died. This also applies to other emotions and memories. Now, the issue that composers have, and I have asked a few about this, is that they find it rather difficult to describe the setting(that is, when there are no lyrics.) This is where the writer comes back into the picture. Through the sound, the writer can express memories and emotions with which the reader can relate to. So the three forms of art come full circle.
What does this have to do with video games? Well, video games combine all three of these into a single work: a gripping storyline with beautiful visuals and music to match. If you create a relatable story, a protagonist with a relatable personality, a world that communicates the atmosphere, or setting, of the storyline and music that can pull you into the fictional world, then you have the ultimate work of art. It is everything that the three artists has to offer in a single package. Now, there are far a few video games with all three of these virtues in balance. The ones that I believe have all three in balance are: Red Dead Redemption, inFamous 2, the Uncharted series, Mass Effect, Metro, Gears of War(I don't personally like the gameplay, but the story is pretty good), Alan Wake, and Halo.
I hope that this helps. I also hope that I spelled relatable correctly.