Balanced Growth and Stability of the Leontief Dynamic Model: An Analysis of the Italian Economy

In the theory and practice of dynamic input-output modelling, the relative stability of the balanced-growth solution is a concept of particular interest. In fact, if the condition for the relative stability is satisfied, then the ratio between the balanced-growth output of each sector and the nonbalanced one converges to a positive constant as time passes, regardless of the initial sectoral distribution of production in the system. Thus, an economically meaningful trajectory is assured for any given starting point. This topic is properly discussed in the present paper, with the realistic case that the capital coefficient matrix is singular and each sector uses at least one capital good in its productive process being considered. Moreover, the stated results are applied to the Italian economy for 1985 by utilizing the intersectoral matrices calculated on the basis of the most recent input-output data.