The article considers the current use of economic and mathematical modeling in managing the development of the Eurasian Economic Union (EAEU) and coordinating the interaction among participating countries. The authors make suggestions for the development and deepening of the available tools in this area using original game-theoretic macroeconomic models, which provide an integral and interconnected description of socio-economic development of states and their associations, and other applied mathematical models. The study examines an autarkic single-product operating game model making it possible to estimate the expected GDP, qualification levels, education, and health of the population; the state of natural resources and total assets of states and their associations for various distribution options of the created product among consumption spending, R & D, modernization of production, education, healthcare, nature protection, security, and public administration. The authors describe the original optimality principles and the approaches to assessing the security of countries, regions, and territories that can be used to achieve the desired objective. The article suggests a methodology for simulation of development scenarios of the EAEU (and its member states), based on the use of tools considered in the study. The authors formulate the requirements for initial data required for such simulation. © 2019. revistaESPACIOS. com.