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The purpose of the article is to give a formal characterization of the institutional environment of the social system and its impact on the behavior of participants and the system for digitalization and automation of management, including the design of a digital twin of the enterprise and simulation of a social system model. The problem is solved by the method of mathematical simulation, which became possible due to the resource-functional approach to the analysis of social systems, the development of the behavior vector concept, and techniques of the quantitative assessment of all types of resources involved in activity, formalization, and recording of human conduct. To solve the problem, we should clarify the nature of corporate systems, which are a special case of social systems, to establish a relationship between the functional events and the resource base, as well as between the company’s resource base and the acts of the parties to relations. The development of the behavior vector concept allowed introducing into the mathematical models of the social system the specific acts of interacting parties, information flows and messages, and solving the problems of performance optimization. With that, social institutions are considered in a specific sense as an information object (rules, regulations, etc.) affecting the behavior of the system participants. Using the developed approaches, we identified the parameters of social institutions, firstly, variables distinguishing one institution from another (specifying it), and secondly, ones enabling assessment of institutions’ impact on the behavior of participants in the social system. The newness lies in that the institutional environment and particular institutions are formalized in a matrix, which is suitable for mathematical models and computational algorithms. This allows us to record in the digital twin of the social system formal and informal institutions, including regulations, corporate culture, stereotypes, and other phenomena influencing the system state. In the calculation of the controlling actions, this enables, firstly, to estimate the managerial effect with respect to the impact of the institutional environment; secondly, to predict the required changes in the institutional environment to attain a controlling action. |