Handbook of Input–Output Analysis
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Handbook of Input–Output Analysis

Edited by Thijs ten Raa

In this authoritative Handbook, leading experts from international statistical offices and universities explain in detail the treatment and role of input-output statistics in the System of National Accounts. Furthermore, they address the derivation of input-output coefficients for the purpose of economic and environmental modeling, the building of applied general equilibrium models, the use of these models for efficiency analysis, and the extensions to stochastic and dynamic input-output analysis. As well as revealing and exploring the theoretical foundations, the Handbook also acts as a useful guide for practitioners.
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Chapter 13: Dynamic input–output analysis

Yasuhide Okuyama


In dynamic input-output analysis investment meets the capital requirements of output growth. The model is linear and the proportionality between type i capital requirements and output j is represented by a capital coefficient. This chapter presents the dynamic input-output model, its solution, and two main issues, namely singularity of the matrix of capital coefficients and causal indeterminacy. Singularity is a mathematical problem that has been solved. Causal indeterminacy is the incompatibility between non-negative output solutions and arbitrary initial conditions, an issue related to the instability of the model. Alternative modifications of the model address the issue. The dynamic input-output model revives in three areas. Human capital formation is modeled to explain endogenous growth. Environmental accounts are added to analyze the depletion of nonrenewable resources. And lagged production and expenditure models are employed in disaster impact analysis.

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