Abstract
The imbalance in the structure of the range of paid services provided to the population, caused by the COVID-19 pandemic, requires a flexible approach to management, identification of alternative business methods, and greater adaptation to the needs of the population. This trend determines measures to manage the urban infrastructure of public services, innovation and investment activities aimed at improving the efficiency of economic systems. The purpose of this study is to build a model for managing the development of paid services, taking into account the key factors of development, aimed at identifying the potential for improving the service sector. The goal was achieved by solving the following tasks: to diagnose the innovative development of paid services to the population; to build an economic and mathematical model for the development of paid services; to determine the direction of development of paid services to the population. The research methods used are comparison, analysis, synthesis, system approach, economic and mathematical modeling. The study identified features of innovative development of sphere of services, characterized by less active innovative activity on industrial production driven by economic factors; the model of «Three I» the development of services based on a mathematical relationship of infrastructure investment and innovative way to develop a balanced strategy of development of sphere of paid services to the population in the Russian economy. Based on this model, a set of recommendations can be formed to ensure business flexibility in the service sector in the conditions generated by the COVID-19 pandemic.
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