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The present paper analyses the extent of development of digital maturity of organizations and HR processes in the transport-logistics field. Digitization is studied in a broader sense as a process of transition from traditional organization into a digital one. The paper presents the author's classification of digital transformation of a traditional organization into digital, and includes six possible potential levels of digital maturity at present time, as per the degree of automation of production and organizational processes. Based on a sociological survey data, a subjective view of specialists from HR services in the transport-logistics economic sector is presented; this view allows us to understand the depth of digitalization processes in HR departments and the organizations as a whole. The conducted analysis showed that the extent of automation of HR processes in transport and logistical organizations is lower than the extent of automation of main HR processes. At the same time the respondents have highly appreciated the extent of integration of main HR processes. The survey results have shown a higher extent of integration of HR processes and a better-defined strategic approach in the work with personnel of transport-logistics organizations, as compared to data of all the respondents. The conducted survey enables us to make specific perspective actions which would make it possible to recalibrate automation of HR processes in the transport-logistics sector of economy. The increasingly larger role of HR management is proved in the context of deepening gap between the speed of technological growth and the productivity of business.

The subject of the research is the economic inequality dynamics. The purpose of the research was statistical verification of the main factors affecting the dynamics of inequality in the digital economy. The research methodology includes the socio-synergic approach and the laws of mathematical statistics. The result of the research was a critical review of S. Kuznets’s views on the impact of economic growth on the dynamics of economic inequality. The conclusion made by T. Picketti that the U-shaped Kuznets curve transforms into the S-shaped curve is confirmed. It is proved that the contribution of the economic growth factor to the dynamics of the economic inequality is not predominant in the total system of all factors affecting the inequality dynamics. It is concluded that the economic growth resulting from technological innovations in the digital economy will not automatically lead to alleviation of the economic inequality; when modeling the social inequality, it is necessary to take into account the impact of such factors as the reallocation policy, particularly, the income taxation, the degree of social activity and good or poor organization of parties in labor relations.

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The purpose of the study is to demonstrate the possibility of adequate mathematical modeling of property inequality in a stratified society based on an agent approach, taking into account the unequal (rank) exchange between agents with different socio-economic status. To achieve this goal, it was necessary to solve the following tasks:1. To develop minimum criteria for the adequacy of mathematical models of socio-economic inequality.2. To substantiate the advantages of mathematical models based on an agent approach using rank exchange.3. To present the author’s version of the mathematical model of the goods’ movement in society based on an agent approach, taking into account rank exchange.4. To check the author’s mathematical model for compliance with the minimum qualitative criteria of adequacy and to create a quantitatively coinciding with the real distribution of the country’s population of the Russian Federation by income.5. Determine the limitations of the developed mathematical model by the authors.Materials and methods. The paper used statistical data from Rosstat, the Federal Tax Service of the Russian Federation, the World Bank, the US Bureau of the Census, the Edelman Trust Barometer, as well as data published by domestic and foreign researchers of inequality. These data were compared with the results of inequality calculations obtained using the mathematical model of the goods’ movement in society based on an agent approach, taking into account rank (nonequivalent) exchange.Results. The minimum criteria that any adequate model of stratification of society must meet are defined: 1. reveals a lognormal distribution of the population by income with a heavy tail; 2. reflects in long-term historical retrospect the trend of inequality growth; 3. demonstrates a short-term reduction of inequality during periods of socio-economic crises.The proposed model meets these requirements, it demonstrates not only qualitative, but also quantitative adequacy – reproduces by calculation the curve of the actual distribution of Russian society by income.Common concepts of inequality, in particular, the theory of superstars or skill-based technological change do not allow achieving such a result. The limitations of the created mathematical model are shown:– the impossibility of creating an adequate Lorentz curve with insufficient computing power;– inability to describe changes in cross-country inequality, since countries are not subjects of rank exchange, although interstate agreements certainly have an impact on the exchange between economic subjects of social interaction;– inability to describe situations of absolute poverty, i.e. long-term decline in income, although in the real economy such situations are sometimes observed;– the endless growth of inequality over time, whereas in reality economic processes of inequality growth are always opposed by social processes of counteraction to this growth.Conclusion. The mechanism of spontaneous emergence and growth of income (property) inequality as an inevitable consequence of market relations is demonstrated.The agent-based approach, taking into account the rank exchange, can allow identifying critical moments in time, after which extraordinary economic and socio-political consequences will have an irreversible character, and can also help in studying the influence of individual behavior of economic agents of different levels on the evolution of the entire economic, and as a consequence, socio-political system.The results obtained will be useful for strategic planning, when developing target indexes for the socio-economic development of regions and the country as a whole, and improving the methodology for calculating key performance indexes for civil servants