On estimate of demand for labor resources based on nonlinear input-output models

The paper continues the authors' research cycle on the development of a new class of nonlinear models of input and output tables taking into account the substitution of production factors and economic constraints, which is a development of V. Leontief linear model. The new models allow to calculate the economic equilibrium in the supply and price network on the basis of analyzing the problem of resource allocation and the Yang dual problem of price formation. The article studies the application of such a model with a combined production function with constant elasticity of substitution for the analysis and forecasting of solvent demand for labor resources in the Russian economy.