Applied aspects in informatics
Risk management and safety
V.I. Zhukovskiy, L.V. Zhukovskaya The concept of a balance of sanctions and counter-sanctions in one differential game n≥ 2 persons
System analysis in medicine and biology
V.I. Zhukovskiy, L.V. Zhukovskaya 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.


managed complex system, sanctions, counter-sanctions, balance of sanctions of counter-sanctions, active equilibriums, stability, efficiency, Pareto maximum.

PP. 39-52.

DOI: 10.14357/20790279200205

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