Аннотация:The methodology of artificial societies, coming from the sophisticated development of so called agent based models, is going to be breakthrough in social sciences. In the paper I try to show it on the examples of mathematical economics and related topics. The growing complexity of mathematical models can be overcome by construction of artificial worlds and following computer experiments. The first non trivial results are in place. Some intriguing questions and problems are formulated, answer on which one can expect under application of the new methodology.