The Singular Value Decomposition of a Technology Matrix
This paper is the first application of the singular value decomposition in general equilibrium theory. Every technology matrix can be decomposed into three parts: (1) a definition of composite commodities; (2) a definition of composite factors; and (3) a simple map of composite factor prices into composite goods prices. This technique gives an orthogonal decomposition of the price space into two complementary subspaces: (1) vectors that generate the price cone; and (2) a basis that describe the flats on the production possibility frontier. This decomposition can be used easily to compute Rybczynski effects.
|Date of creation:||2014|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +49 (89) 9224-0
Fax: +49 (89) 985369
Web page: http://www.cesifo.de
More information through EDIRC
References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Kleibergen, Frank & Paap, Richard, 2006.
"Generalized reduced rank tests using the singular value decomposition,"
Journal of Econometrics,
Elsevier, vol. 133(1), pages 97-126, July.
- Richard Paap & Frank Kleibergen, 2004. "Generalized Reduced Rank Tests using the Singular Value Decomposition," Econometric Society 2004 Australasian Meetings 195, Econometric Society.
- Frank Kleibergen & Richard Paap, 2003. "Generalized Reduced Rank Tests using the Singular Value Decomposition," Tinbergen Institute Discussion Papers 03-003/4, Tinbergen Institute.
- Kleibergen, F.R. & Paap, R., 2003. "Generalized Reduced Rank Tests using the Singular Value Decomposition," Econometric Institute Research Papers EI 2003-01, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Ronald W. Jones, 1965. "The Structure of Simple General Equilibrium Models," Journal of Political Economy, University of Chicago Press, vol. 73, pages 557.
- Georg Schaur & Chong Xiang & Anya Savikhin, 2008. "Factor Uses and the Pattern of Specialization," Review of International Economics, Wiley Blackwell, vol. 16(2), pages 368-382, 05.
- Chang, Winston W. & Ethier, Wilfred J. & Kemp, Murray C., 1980. "The theorems of international trade with joint production," Journal of International Economics, Elsevier, vol. 10(3), pages 377-394, August.
- John Romalis, 2004. "Factor Proportions and the Structure of Commodity Trade," American Economic Review, American Economic Association, vol. 94(1), pages 67-97, March.
- Ethier, Wilfred, 1974. "Some of the theorems of international trade with many goods and factors," Journal of International Economics, Elsevier, vol. 4(2), pages 199-206, May.
- Harrigan, James, 1995. "Factor endowments and the international location of production: Econometric evidence for the OECD, 1970-1985," Journal of International Economics, Elsevier, vol. 39(1-2), pages 123-141, August.
- Ethier, Wilfred J., 1984. "Higher dimensional issues in trade theory," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 1, chapter 3, pages 131-184 Elsevier.
When requesting a correction, please mention this item's handle: RePEc:ces:ceswps:_4566. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Julio Saavedra)
If references are entirely missing, you can add them using this form.