Leontief inverse

Mein DANKE Video für EUCH: 100. Mathe by Daniel Jung SPECIAL Rückblick. Input-Output-Matrix gegeben. Die zweite Spalte teilt man durch den zweiten Eintrag des Produktionsvektors. Die dritte Spalte teilt man durch den dritten Eintrag der .

Interessiert das aufgrund einer Endnachfrage erforderliche Produktionsvolumen, so formt man obige. Gleichung nach X um und erhält: ( ). Leontief - Inverse “ bezeichnet. How to relate final demand to production?

If final demand in sector i, fi, (e.g. automobile industry) is to increase next year how much output from each of the sectors would be necessary to supply this final demand? If the inverse ( I − A ) − exists, then a unique solution to the equation above exists. A lone matrix coefficient conveys all direct and indirect .

A is an input-coefficient matrix from I-O total table. Also available in French. X from this matrix equation. We can transform this equation as follows: InX − AX = B. X = (In − A)−1B if the inverse of the matrix In − A exists. For a given realistic economy, a solution obviously must exist.

Recently, several authors have investigated which specifications of stochastic errors in an input-output matrix generate uniform underestimation or overestimation of the LI. Source Publication: SNA 15. Statistical Theme: National accounts . Ein Betrieb umfasst drei Zweigwerke. Jedes dieser Zweigwerke bietet ein Produkt an, das sowohl für den Markt, aber auch für die jeweils zwei anderen Zweigwerke und den eigenen Bedarf produziert wird.

In the input-output literature, there has been a great deal of debate about the appropriateness of input-output systems for forecasting over periods longer than three to five years. The issue of coefficient stability has attracted a great deal . In itself, this is not new. However, the conditions presented here are economically intuitive an at the same time, mathematically rigorous.

Man ermittle die zugehörige LEONTIEF - Inverse und den neuen Outputvektor.

Man gehe wieder von obigem Ausgangsgleichgewicht aus. It features in the computation of various kind of multipliers such income and employment multiplier and play an important role in economic impact studies, analysis of structural change and identification of key sectors for development planning.