Computable General Equilibrium (CGE) of Multiregion Input-Output Model

​
Computable General Equilibrium
for the Liberalization of Trade
countries
2
3
4
5
pre-trade economies
industries
2
3
4
5
Regulated or trade limited economies prior to liberalization.
The table for each country provides a random tableau of the
country's networked production function, comprising both
technology and labour, shown as Country i Infrastructure.
Labour in each country is randomly generated and shown in
the lower row of each economy's infrastructure.Net Exports
Country i to Country j represents commodity exports less
imports from Country i to Country j. Initial consumption of
each commodity is set at 10 and each Industry row sums to zero.
Country 1
Country 1 Infrastructure
Net Exports Country 1 to 2
Country 1
Limited Trade
Industry 1
Industry 2
Industry 1
Industry 2
Consumption
Industry 1
20
-18
8
0
-10
Industry 2
-20
22
0
8
-10
Labour
-81
-59
0
0
0
Country 2
Net Exports Country 2 to 1
Country 2 Infrastructure
Country 2
Limited Trade
Industry 1
Industry 2
Industry 1
Industry 2
Consumption
Industry 1
-8
0
38
-20
-10
Industry 2
0
-8
-13
31
-10
Labour
0
0
-86
-36
0
This Demonstration is a neoclassical computable general equilibrium (CGE) model that shows how economic growth occurs with the liberalization of trade.

Details

David Ricardo (1817)[3] proposed that economic welfare (as measured by domestic consumption) would grow through international trade as a result of participating countries specializing in their respective comparative advantages. Neoclassical economists have developed computable general equilibrium (CGE) models of markets for situations where demand and supply are interdependent in order to analyze growth through trade and the benefits of trade agreements. Paul Samuelson[4] showed that optimization could be used to solve such models, in particular John Von Neumann's economic equations developed in 1938. Recently multiregional input-output models have become popular as networked production functions for use in solving the dynamics of growth through trade. ten Raa[5] originated a new type of input-output model based on the make minus use tables, which are prepared as part of constructing an input-output table.
This Demonstration shows the dynamics of growth through trade. Net make less use tables for economies in the Demonstration are randomly generated. The model is relatively simple, being only for one year, having labor as the sole factor of production, and excluding the usual aspects of capital, investment, and total factor productivity growth, as well as more recent considerations such as the asset intensity of production, balance of payments limits, and intertemporal environmental economic-geophysical interactions (such as global warming effects). However, the model is quite sophisticated in implementing tableau networked production functions across multiple industries in multiple countries, all interconnected by trade, settled simultaneously in volume and price through linear programming.

References

[1] S. J. Nettleton, "Benchmarking Climate Change Strategies under Constrained Resource Usage," Ph.D. dissertation, University of Technology Sydney, February 2010, Australian Digital Theses Program.
[2] S. J. Nettleton, "The Service Science of Climate Change Policy Analysis: Applying the Spatial Climate Economic Policy Tool for Regional Equilibria." Presented at the 18th Conference of the International Input-Output Association, Sydney, Australia (June 20–25, 2010) http://www.iioa.org/files/conference-1/102_ 20100429011_ 100429SNSceptre.pdf.
[3] D. Ricardo, On the Principles of Political Economy and Taxation, 3rd ed., London: John Murray, 1817.
[4] P. A. Samuelson, "Prices of Factors and Goods in General Equilibrium," The Review of Economic Studies, 21(1), 1953 pp. 1–20.
[5] T. ten Raa, The Economics of Input-Output Analysis, Cambridge: Cambridge University Press, 2006.

External Links

Dynamics of Climate Change: Modelling the Economic Effects of Global Warming with Mathematica
Wolfram Technology Conference 2010 Speakers: Stuart Nettleton: Processing Large Scale Systems of Equations in Financial Models

Permanent Citation

Stuart Nettleton
​
​"Computable General Equilibrium (CGE) of Multiregion Input-Output Model"​
​http://demonstrations.wolfram.com/ComputableGeneralEquilibriumCGEOfMultiregionInputOutputModel/​
​Wolfram Demonstrations Project​
​Published: January 1, 1999