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Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria

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  • Danyang Xie

    (Universite de Montreal, Hong Kong University of Science & Technology)

Abstract

Special pairs of the utility functions and the production functions are used in this paper to uncover the transitional dynamics in a Lucas model of growth. The main findings are as follows: A continuum of equilibria exists if the external effect of human capital in goods production is sufficiently large. The process of lagging behind, catching up with, and overtaking that we often observe in the world economy can be explained. Finally, some equilibrium paths are shown to have such complicated patterns that the dynamics conjectured by Lucas are too simple to be correct.

Suggested Citation

  • Danyang Xie, 2002. "Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria," GE, Growth, Math methods 0210002, EconWPA.
  • Handle: RePEc:wpa:wuwpge:0210002
    Note: Type of Document - PDF; prepared on PC; to print on HP; pages: 20; figures: Included
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    References listed on IDEAS

    as
    1. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-1037, October.
    2. Benhabib Jess & Farmer Roger E. A., 1994. "Indeterminacy and Increasing Returns," Journal of Economic Theory, Elsevier, vol. 63(1), pages 19-41, June.
    3. Boldrin, Michele & Rustichini, Aldo, 1994. "Growth and Indeterminacy in Dynamic Models with Externalities," Econometrica, Econometric Society, vol. 62(2), pages 323-342, March.
    4. Galor, Oded, 1992. "A Two-Sector Overlapping-Generations Model: A Global Characterization of the Dynamical System," Econometrica, Econometric Society, vol. 60(6), pages 1351-1386, November.
    5. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 108(3), pages 739-773.
    6. Xie, Danyang, 1991. "Increasing Returns and Increasing Rates of Growth," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 429-435, April.
    7. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
    8. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. II. The case of pure exchange with money," Journal of Economic Theory, Elsevier, vol. 24(1), pages 112-142, February.
    9. Chamley, Christophe, 1993. "Externalities and Dynamics in Models of "Learning or Doing."," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(3), pages 583-609, August.
    10. Casey B. Mulligan & Xavier Sala-i-Martin, 1991. "A Note on the Time-Elimination Method For Solving Recursive Dynamic Economic Models," NBER Technical Working Papers 0116, National Bureau of Economic Research, Inc.
    11. 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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    More about this item

    Keywords

    Transitional Dynamics; Multiple Equilibria; Lucas Model;

    JEL classification:

    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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