Turkish on 08 February 2016
If it's just a console a la PS4 like you're assuming and not something quirky like the Wii, then no. Not even close. Why do I have the feeling it's always the Americans who come up with questions like "will this or that ever dominate?" No, neither Nintendo or Xbox will ever become nr1 with a regular console. Go outside the US and you'll see they don't even have "console" in their vernacular, it's just the Playstation.
