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Homothetic Multisector Growth Models

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  • Bjarne S. Jensen
  • Ulla Lehmijoki

Abstract

Multi-sector growth (MSG) models have a special aura which is shared with Computable general equilibrium (CGE) models. Both of them, with their many sectors (industries, goods), are known as trying to convert Walrasian general equilibrium systems from an abstract economy representation into workable models with industrial structures changing as actually observed. Yet they are plagued by severe problems. First, they are difficult subjects involving systems of nonlinear equations. Second, their prevalent numerical (algorithmic) methodology offers little in the way of showing a clear overall picture and understanding the plethora of numbers pouring out from model simulations. The great wood is not seen for all the trees. Hence the main objective is to set out comparative-static and dynamic systems for succinctly stating and explicitly solving multisector growth models. The Walrasian general equilibrium is completely stated by one equation and the multisector dynamics by one differential equation. Benchmark solutions are shown for three CES parameter regimes of a ten-sector general equilibrium model.

Suggested Citation

  • Bjarne S. Jensen & Ulla Lehmijoki, 2011. "Homothetic Multisector Growth Models," DEGIT Conference Papers c016_001, DEGIT, Dynamics, Economic Growth, and International Trade.
  • Handle: RePEc:deg:conpap:c016_001
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    File URL: http://degit.sam.sdu.dk/papers/degit_16/c016_001.pdf
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    References listed on IDEAS

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    1. Bjarne Jensen & Mogens Larsen, 2005. "General equilibrium dynamics of multi-sector growth models," Journal of Economics, Springer, vol. 10(1), pages 17-56, December.
    2. Arrow, Kenneth J, 1974. "General Economic Equilibrium: Purpose, Analytic Techniques, Collective Choice," American Economic Review, American Economic Association, vol. 64(3), pages 253-272, June.
    3. Kai Carstensen & Erich Gundlach & Susanne Hartmann, 2009. "The Augmented Solow Model with Mincerian Schooling and Externalities," German Economic Review, Verein für Socialpolitik, vol. 10, pages 448-463, November.
    4. Meckl, Jürgen, 1999. "Structural change and generalized balanced growth," Discussion Papers, Series I 298, University of Konstanz, Department of Economics.
    5. Bjarne Jensen & Paul Boer & Jan Daal & Peter Jensen, 2011. "Global restrictions on the parameters of the CDES indirect utility function," Journal of Economics, Springer, vol. 102(3), pages 217-235, April.
    6. Stiglitz, Joseph E, 1969. "Allocation of Heterogeneous Capital Goods in a Two-Sector Economy," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 10(3), pages 373-390, October.
    7. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    8. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 107(2), pages 407-437.
    9. Bjarne S. Jensen, 2009. "Dynamic Extensions of the Solow Growth Model (1956): Editorial," German Economic Review, Verein für Socialpolitik, vol. 10, pages 378-383, November.
    10. Bjarne S. Jensen & Mogens E. Larsen, 2005. "General Equilibrium Dynamics of Multi-Sector Growth Models," DEGIT Conference Papers c010_003, DEGIT, Dynamics, Economic Growth, and International Trade.
    11. Shoven,John B. & Whalley,John, 1992. "Applying General Equilibrium," Cambridge Books, Cambridge University Press, number 9780521266550, May.
    12. Echevarria, Cristina, 1997. "Changes in Sectoral Composition Associated with Economic Growth," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(2), pages 431-452, May.
    13. Walter Nonneman & Patrick Vanhoudt, 1996. "A Further Augmentation of the Solow Model and the Empirics of Economic Growth for OECD Countries," The Quarterly Journal of Economics, Oxford University Press, vol. 111(3), pages 943-953.
    14. Olivier Grandville, 1997. "Curvature and the elasticity of substitution: Straightening it out," Journal of Economics, Springer, vol. 66(1), pages 23-34, February.
    15. Bjarne S. Jensen & Preben K. Alsholm & Morgens E. Larsen & Jens Martin Jensen, 2005. "Dynamic Structure, Exogeneity, Phase Portraits, Growth Paths, and Scale and Substitution Elasticities," Review of International Economics, Wiley Blackwell, vol. 13(1), pages 59-89, February.
    16. NONNEMAN, Walter & VANHOUDT, Patrick, 1995. "A further augmentation of the Solow model and the empirics of economic growth for OECD countries," SESO Working Papers 1995005, University of Antwerp, Faculty of Applied Economics.
    17. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
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    Cited by:

    1. Wei-Bin Zhang, 2015. "A Portfolio Equilibrium Model of Gold and Capital in an Integrated Walrasian General Equilibrium and Neoclassical Growth Theory," International Journal of Economics and Empirical Research (IJEER), The Economics and Social Development Organization (TESDO), vol. 3(12), pages 616-627, December.
    2. Zhang W.B., 2015. "Birth And Mortality Rates, Gender Division Of Labor, And Time Distribution In The Solow Growth Model," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 24(1), pages 121-134.

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