Criticism: you are not using game theory
Is the model of games useful in understanding evolution of some aspect of society? If you use ‘games’ in a very, very general sense (viz. there are players, strategies, end-results, and such like), then it might. There is a flourishing branch of mathematics called ‘Game theory’ that has been used to study many things in nature and society: from the evolution of rules and norms to seeing evolution itself in Game-theoretic terms. I need to warn you that its notion of games is a technical one and involves two or more ‘players’, who follow certain strategies for ‘winning’ to which a certain pay-off is coupled. While it has uncovered certain interesting dilemmas in societies, I do not find it as fruitful as its practitioners claim.