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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, University Library of Munich, Germany.
    • 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.
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    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.
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    More about this item

    Keywords

    Transitional Dynamics; Multiple Equilibria; Lucas Model;
    All these keywords.

    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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