Abstract

Purpose: scientific substantiation of social security based on the principles of management of complex systems and an example of the application of mathematical modeling to determine internal risks in a complex social system.. Methods: use of elements of mathematical modeling, in particular the theory of optimal control and linear programming; analysis of the content of the concept of “security paradox”, logical-determinant assessment of this concept. Results: it is proposed to apply the principles of management of complex systems to ensure the social security of groups of people and society. An example of the application of mathematical modeling to determine internal risks in a complex social system is given. In order to ensure the proper functioning of risk mitigation measures in complex social systems, it is proposed to introduce compensatory risks, which may be penalties or other measures that can be considered as specifically introduced risks for individuals. The introduction of external protection against a number of dangers can provoke the emergence of a “security paradox”, the essence of which is to reduce the personal activity of counteracting risk by relying on external protection. Effective social security requires the development of a culture of security, morality, worldview and legislative measures.. Scientific novelty: the use of elements of mathematical modeling for risk assessment in the social security management system is proposed; introduced the concept of “security paradox”, which arises when security is moved from the individual to the collective level. The use of principles of management of complex systems for social security is offered. Practical significance: The use of a systematic approach and principles of management of complex systems in ensuring the security of society will identify the most important risks and focus on their prevention, prevention or reduction. An example of mathematical modeling is proposed to assess the internal risks of the social system.

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