Discrete Dynamic Modeling of State Regulation of Human Capital

• Published in: Mathematical models and computer simulations 2021, Vol.13 (1), p.144-153
• Main Authors: Kamenev, G. K., Kamenev, I. G.
• Format: Article
• Language: English
• Subjects: Age; Approximation; Cognitive ability; Dynamic models; Human capital; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Multiple criterion; Optimization; Parameters; Simulation and Modeling; Socialization; State regulation
• ISSN: 2070-0482; 2070-0490
• DOI: 10.1134/S2070048221010105

— The multicriteria problem of optimizing the state regulation of the quality of human capital in an information society is considered. A discrete dynamic model of human capital is described taking into account the age dynamics of the awareness and cognitive abilities possessed by an individual as a carrier of information. On trajectories, The lifelong indices of human capital are considered on trajectories; i.e., productivity and creativity are considered taking into account the initial increase in the quality of human capital followed by its subsequent decline at an older age. The task of state regulation is described as a two-criteria maximization of the population’s mathematical expectations of indices for a generation, taking into account not only the natural distribution of individuals by the starting values but also the possibilities of socialization within a state-controlled education system. The model’s identification is based on taking into account the known population restrictions on the phase trajectory tube. The model is identified and investigated by methods using approximation by Shannon metric networks. It is shown that the optimal choice of educational priorities by the state depends on the society’s parameters such as age-specific mortality rates and the time budget available for the socialization of a nonadult. There are combinations of parameters that lead to a conflict of the regulation criteria; in this case the solution is the set of Pareto optimal strategies. For Russia, there is a dominant solution that presumes the priority development of cognitive abilities rather than awareness.