Social systems analysis II

We argue that there are 4 basic solution concepts for 2 × 2 symmetric games and corresponding to these, 4 basic human interactions and 4 types of societies. We propose a model in which the type of interaction is predicted by independence, inequality of power, communication, and mutuality of interests. We prove theorems classifying Moulin's inessential games in the case of an interior Nash equilibrium and argue that this explains coalition formation. We discuss classification of socially significant ideologies.