72 Application to economics: Leontief Model
7 2 Application to economics: Leontief Model Wassily Leontief won the Nobel prize in economics in 1973 The Leontief model is a model for the economics of a whole country or region In the model there are n industries producing n di erent products such that the input equals the output or, in other words, consumption equals production One
The Leontief Open Production Model or Input-Output Analysis
The Leontief Open Production Model or Input-Output Analysis Iris Jensen December 15, 2001 Abstract Wassily Leontief won a Nobel Prize in Economics in 1973 for him explanation of the economy using his input-output model There are two application of the Leontief model:a closed model and an open model
Leontief Input-Output Model
Leontief Input-Output Model We suppose the economy to be divided into nsectors (about 500 for Leontief’s model) The demand vector d~2Rn is the vector whose ith component is the value (in dollars, say) of production of sector idemanded
Input-Output System Models: Leontief versus Ghosh
based upon fundamental differences in the definition and notation of the terms, hence, in the second section the main terms of both the Leontief and Ghosh model’s definition and notation are discussed The central point, here, is the definition of all type of prices and the connection between them In the third section Leontief’s system
27: Leontief Input-Output Model
The Leontief Input-Output Model can be described by the equation X = AX +D where X is the production matrix (total output), A is the input-output matrix and D is the consumer demand matrix The calculation AX = X ¡ D is the internal use of the model The production matrix can be solved by the formula: X = (I ¡A)¡1D: °
Analyse entrée-sortie de Leontief - maths au quotidien
À l’aide du tableur, déterminer la matrice de Leontief I4 − C, puis son inverse (I4 − C)−1 2 On suppose que la demande finale augmente d’une unité pour le secteur Agriculture La nouvelle matrice-colonne des demandes finales est donc D1 = 5 311 193 102 19 819 15 135 ˛ Partie C : Interprétation des coefficients de (I4 − C)−1
Multiplier Product Matrix Analysis for Multiregional Input
multiplier product matrices representing the essence of key sector analysis The definition of the multiplier product matrix is as follows: let Aa ij be a matrix of direct inputs in the usual input-output system, and 1 B I A b ij the associated Leontief inverse matrix and let B j and B i be the column and row multipliers of this Leontief inverse
Ch01 : Matrice
Entrer les termes de la matrice Revenir à l’écran de calcul Rappeler la matrice à l’écran L’ajout de Frac permet l’affichage des éléments sous forme fractionnaire Rappeler un terme de la matrice C- Matrice inverse d’une matrice carrée Comme pour les nombres réels, il est possible de définir l’inverse d’une matrice
Lecture &# 6 - Input-Output Analysis
De–ne the following 2 vectors Œb = 2 6 6 6 6 4 30 140 200 3 7 7 7 7 5 is the vector of –nal demands for output of the industry sectors Œx = 2 6 6 6 6 4 100 400 500 3 7 7 7 7 5 is the vector of total ouput of the industry sectors 3
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