Game Theory, is based on the premise that all individuals are selfish. It makes sense in an atomised society, where all relationships are utilitarian. It's an economic theory, not a sociological one, and it breaks down once you factor in actual "society" as a premise. If you take the position that society exists first, then the individual rather than the other way round it all becomes quite messy an unwieldy. A society will typically reject members that only take, and there are many studies (sorry, no citation at hand) that demonstrate this with animal groups and actual human groups. You "can" attempt to explain many social phenomena using game theory but you have to integrate all sorts of remote concepts in order to make it work.