Recent decades have shown an increasing role of entrepreneurship in both economically developed and developing national economies. The purpose of the research is the estimation of the indicators that describe the proportion of voluntary, demanding and forced entrepreneurs in the total number of early entrepreneurs. The existing ratio of entrepreneurs with different motivation was also evaluated. The study used empirical data obtained in 2018 and presented in the Global entrepreneurship monitoring report. The normal distribution functions were used to develop economic and mathematical models for approximating initial data and evaluating four indicators of early entrepreneurs motivation in different countries.

The social values ​​of entrepreneurship that have developed in several countries are largely determined by the way in which the population perceives how favorable the external environment is to start its own business and whether it stimulates entrepreneurial activity. The objective of the study was to assess the social values ​​of entrepreneurship that have developed in some countries, according to adults. At the same time, based on the results of a sociological survey, people's level of agreement was evaluated with the following four statements: entrepreneurship is a good professional option, successful entrepreneurs have a high social status, the mass media (Mass media, СМИ) give a positive attitude to entrepreneurship, it is easy to create your own in the country business The study used information from the Global EntrepreneurshipMonitoring conducted in 2018 in 48 countries.

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Taking as basis the research on the introduction and application of lean production (LP), the authors describe the development sequence of LP tools that allowed the formulation of a modern LP tools system. Considering also the classical principles of LP, the article proposes a conceptual model of the multidimensional modern content of LP based on a multi-level understanding of the LP apparatus and takes into account its organizational components and the scale of the required transformations in the organization's activities.

Innovation policies are currently one of the main axes for improving the efficiency of national economies in developed and developing countries. The innovation policy includes a comprehensive system of activities. In Russia, increasing the specific weight of commercial entities engaged in innovative activities is among the most important objectives for the short term. The aim of our study was to evaluate the use of innovation based on taking into account the specific weight of organizations that perform innovations in the total number of organizations operating in the regions of Russia. Our study was based on official statistical information on the 82 regions of Russia for 2017-2019. Economic-mathematical models have been developed that describe the specific weight of the organizations that implement innovation. There are no significant changes in the indicators for the years indicated. It has been shown that, to date, almost one in five organizations in the Russian Federation has used innovation in their activities. In addition, they have identified the regions with maximum and minimum values of the specific weightings of innovative organizations for 2019.