
V.I. Zhukovskiy, L.V. Zhukovskaya The concept of a balance of sanctions and countersanctions in one differential game n≥ 2 persons 

Abstract.
The article presents a methodology for modeling decisionmaking 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 linearquadratic 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 countersanctions and at the same time there is no generally accepted Nash equilibrium. The economiclegal model of active equilibrium through the legal concept of sanctions is considered, which expands the field of practical application of this class of tasks.
Keywords:
managed complex system, sanctions, countersanctions, balance of sanctions of countersanctions, active equilibriums, stability, efficiency, Pareto maximum.
PP. 3952.
DOI: 10.14357/20790279200205 References
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