You would need to read the copyright statement issued by the game's creator/distributor. If you cannot find an answer, the next thing to do will be to contact the creator/distributor and ask.
Yours is an interesting question. Perhaps it's one to which there are many clear answers, but I'm not aware of them, which only goes to show my lack of insight into such things.
One the one hand, I can quite logically see why the game's creators/distributors might consider that what you want to do is a copyright infringement. On the other hand, you will be showing to the world your own participation in the game. And if you choose to show to others what you do in your own life, then how can that be subject to anyone's copyright?
The latter supposition is somewhat simplistic, I know, but if you were to make a video of you watching a dvd, and then broadcast this new film to the world, would that be an infringement of copyright?
I suppose the answer would be determined by your intentions - what the purpose of the video is. If it's to show your own involvement in the game - and the footage actually shows you playing the game - then perhaps it's something the makers won't have a problem with.
Regardless, I don't know the answer and can only suggest you ask the the creators/distributors.