In this paper, the concept, properties and possibilities of application of the generalized game to modelling economic phenomena is presented. The generalized game G is the process of interaction between players which have defined roles and role relationships. The game is represented by a complex of rules, where we have four components: MODEL- describing general considerations of the game, VALUE- norms and values recognized by the players, ACT- describing possibilities of the players' action, JUDGMENT - rules describing ways of thinking and decision-making by players. The generalized game allows us to analyze the behavior of the players, paying attention to the economic, social and psychological aspects of their behavior. The article also shows the possibilities of using the tools of the rules and complexes to construct the social optimum, the concept of sustainable development or the negotiation analysis.