472Methodological aspect of the problem: static and dynamic schemes for the analysis of the role played by technological changes in the framework of the interin dustry approach. The study of the effects due to the impact of changes in the input coefficients on the pro duction dynamics and structure in the national econ omy is one of the central problems of interindustry analysis. Its methodology, which was first developed for this purpose by W. Leontief and his successors [1-3], was later widely used (with certain modifications) in cross sector research in various countries. In its general form, this analytical methodology, which is based on the use of interindustry balances (IIBs) consists in the following.As is known, the relationship between the indica tors of gross and final output within IIBs is given by the formula X t = (E -A t ) -1 Y t (here, A t is the matrix of input-output coefficients for the year t), proceeding from which it is possible to break down the total annual change in the output of each individual industry into changes in the input coefficients a ij (t), on the one hand, and changes in final output, on the other hand.During working with an IIB, it is traditionally assumed that changes in the technology of a branch j in the year t as against the base year are expressed in terms of difference in the branch vectors of input-out put coefficients; accordingly, for the entire economy, the characteristic of technological changes is the dif ference in the matrices of input-output coefficients:Then, for the current year t, the hypothetical vol ume of gross output of individual industries can be cal culated, ensuring the production of a specified branch set of final output Y t provided the technological coef ficients are retained at the level of the base yearThe comparison of the actual output vector (X t ) andmakes it possible (in quantitative terms) to estimate the national macroeconomic consequences of changes in the input coefficients in the current year as against the base year, i.e., the difference can justifiably be interpreted as a change (positive or negative) in the demand for the gross output of every industry in the economy due to changes in the IIB input-output coefficients calculated on the basis of the volume and structure of final demand in the con ditions of the current year.The extension of this technique to the case involv ing the comparison of several successive periods (years) leads, in particular, to the use of the following identical representation (see, for instance, [4]):(1)In expression (1), the increase in gross output is represented as the sum of two terms: the first one char acterizes the contribution of technological changes to the increment in gross output, and the second one reflects the contribution of changes in the volume and structure of final output. Thus, the second summand makes it possible to estimate the contribution of changes in the volume and structure of final demand to the performance of gross output "cleared" from technological shifts.The representation o...