The purpose of the study is to introduce a new economic index, the "relative productivity exponent in the global economy g", which characterizes the deviation of the economic productivity index of a given country from some ideal productivity determined by the shape of the axial line of the swarm of the global economy in the three-dimensional space of economic indices EPI, BLI, CPI. To determine the values of the relative productivity exponent g, the shape of the axial line of the (...) global economy of 2019, established earlier by the authors, is used. The article examines the distribution of countries according to the exponent g and the index of socio-economic equilibrium of countries, and also investigates the relationship between the exponent g and the index of economic productivity EPI. The scientific novelty of the research lies in the introduction of a new economic index g and the calculation of its values for countries based on economic data from 2019. The distribution of countries according to the value of g allows us to reveal, as a result, a certain range of the exponent g, indicating a balanced state of the economy. (shrink)

The purpose of the study is to determine the concept of the axial line of the swarm of the global economy in the three-dimensional space of the economic indices EPI, BLI, CPI and to construct mathematical expressions that determine the shape of this line based on statistical data on the world economy. To construct the axial line the median points of the EPI-groups of the global economy were used. In the paper we discuss certain assumptions about the asymptotic behavior of (...) the axial line at small and large values of the CPI. Scientific novelty of research lies in the explicit construction of the axial line of the global economy. The existence and shape of this line reveal as a result some fundamental trend in the world economy, statistically linking at the level of EPI-groups the state of society, the measure of the state's social orientation and economic productivity. (shrink)