HIERARCHIES OF REGIONAL SUB-STRUCTURES AND THEIR MULTIPLIERS WITHIN INPUT-OUTPUT SYSTEMS - MIYAZAWA REVISITED

Miyazawa, in a series of papers, provided some new insights into the f unctioning of an economy by revealing, explicity, the important linkag es between output and income propagation effects. The concept of an in terrelational income multiplier has provided the basis for extensions of this work in the field of demographic-economic modeling. In the pre sent paper, some of Miyazawa's contributions are revisited and some ex tensions proposed that exploit some new applications of matrix decompo sition techniques. In particular, a finer structure for Miyazawa's con cepts of ''internal'' and ''external'' multipliers are revealed. The f inal section of the paper explores the decomposition approach to the M iyazawa demo-economic framework in a multi-regional setting.