There are some really good applications for game theory in The Game Theorist's Guide to Parenting: How the Science of Strategic Thinking Can Help You Deal with the Toughest Negotiators You Know--Your Kids
I've read at least one book on game theory. But applying the lessons from the book has been challenging; it's not often that I find myself facing a dilemma as a prisoner co-conspirator, to use the standard game theory cliche. So it's nice when a guy like Paul Raeburn spells the applications out for me.
And there are some beauties in this book. All sorts of techniques are provided, some obvious and others less so, to help parents deal with children in a manner that makes everyone feel like they're being treated fairly. The children have to be old enough to understand some logic though, so don't expect anything in here to help put your newborn to sleep.
I highly recommend the book to parents of young children.