It is clearly a game, but I don't think it's meant in a nasty way. I've behaved a bit like this in the past. In my experience, men (and don't take this the wrong way, guys), can come across a little nonchalant in relationships and seem like they're talking their girl for granted. Some women will say they're ending a relationship (and I have to say, I have been guilty of this is in the past) just to provoke a reaction and to give the guy a bit of a wake-up call. They just want to see that the guy cares enough to fight for the relationship.