Video games have always been influenced by other mediums. Books, movies, and music have been stamping their names on video games for decades, and for the most part games have been better for it. (Movies have not been better for being influenced by games, however. I'm looking at you, Uwe Boll.)
It's only in the last few years though, that I've started to notice games increasingly being influenced by TV, and vice versa.
Developer Telltale Games is the obvious and prime example here - the developer has taken on an episodic, TV-like structure with its new game series The Walking Dead and The Wolf Among Us. The games are even divided into seasons - The Walking Dead is now in season two.
But the company has also realised that in-depth character studies are what fans want from their games - and that's the same key factor that brings fans back to TV dramas. Characters are realised over time and over several episodes, not in the few minutes a movie might have to spare before it cuts to the next action scene.