The concept of a balance of sanctions and counter-sanctions in one differential game n ≥ 2 persons
The article presents a methodology for modeling decision-making processes in complex controlled dynamic systems: the implementation of the idea of balanced (equilibrium) systems and the formation of a new mechanism that contributes to solving the problems of equilibrium stability. These developments are based on economic and mathematical modeling using a synthesis of scientific approaches to system analysis, economics, law, game theories, operations research and decision making.The linear-quadratic positional differential game of many people is considered. Coefficient criteria have been established at the fulfillment of which in the game there is a balance of sanctions and counter-sanctions and at the same time there is no generally accepted Nash equilibrium. The economic-legal model of active equilibrium through the legal concept of sanctions is considered, which expands the field of practical application of this class of tasks.