I have found the same thing. I get a better response rate from FB than Twitter.
I also find that when I make a post on FB, more people add and like me, which is fantastic. It means all I need to do is add content daily, make sure its targeted and contextual content – and I get new likes. I’m at 1728. Will keep a log of where I am at with the count here.
My FB isn’t gaming related – but the success I have had from this page, I am going to try and replicate to a gaming page and see how the growth goes.