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Divergence in Economic Performance: Transitional Dynamics with Multiple Equilibria

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Author Info
Danyang Xie (Universite de Montreal, Hong Kong University of Science & Technology)

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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.

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Paper provided by EconWPA in its series GE, Growth, Math methods with number 0210002.

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Length: 20 pages
Date of creation: 07 Oct 2002
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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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Keywords: Transitional Dynamics Multiple Equilibria Lucas Model

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Find related papers by JEL classification:
O41 - Economic Development, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models
C61 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming - - - Optimization Techniques; Programming Models; Dynamic Analysis

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  4. 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. [Downloadable!] (restricted)
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  6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April. [Downloadable!] (restricted)
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  8. 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. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Supriyo De, 2007. "Software Production, Human Capital and Endogenous Growth: Theoretical Analysis and Empirical Evidence from India," DEGIT Conference Papers c012_007, DEGIT, Dynamics, Economic Growth, and International Trade. [Downloadable!]
  2. Maria João Ribeiro, 2003. "Endogenous Growth: Analytical Review of its Generating Mechanisms," NIPE Working Papers 4/2003, NIPE - Universidade do Minho. [Downloadable!]
  3. Roger E.A. Farmer, 1994. "Indeterminacy and Sector-Specific Externalities," UCLA Economics Working Papers 722, UCLA Department of Economics. [Downloadable!]
    Other versions:
  4. William Smith, 2007. "Inspecting the Mechanism Exactly: A Closed-form Solution to a Stochastic Growth Model," Contributions to Macroeconomics, Berkeley Electronic Press, vol. 7(1), pages 1524-1524. [Downloadable!] (restricted)
  5. Raouf Boucekkine & Ramon Ruiz Tamarit, 2004. "Imbalance Effects in the Lucas Model: an Analytical Exploration," Topics in Macroeconomics, Berkeley Electronic Press, vol. 4(1), pages 1232-1232. [Downloadable!] (restricted)
    Other versions:
  6. Benhabib, J. & Meng, Q. & Nishimura, K., 1999. "Indeterminacy Under Constant Returns to Scale in Multisector Economies," Working Papers 99-17, C.V. Starr Center for Applied Economics, New York University. [Downloadable!]
    Other versions:
  7. Kazuo Mino & Kazuo Nishimura & Koji Shimomura & Ping Wang, 2005. "Equilibrium Dynamics in Discrete-Time Endogenous Growth Models with Social Constant Returns," Discussion Papers in Economics and Business 05-34, Osaka University, Graduate School of Economics and Osaka School of International Public Policy (OSIPP). [Downloadable!]
    Other versions:
  8. Shantayanan Devarajan & Danyang Xie & Heng-Fu Zou, 2002. "Should Public Capital Be Subsidized or Provided?," Macroeconomics 0212005, EconWPA. [Downloadable!]
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  9. Pedro Garcia-Castrillo & Marcos Sanso, 2000. "Human Capital and Optimal Policy in a Lucas-type Model," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(4), pages 757-770, October. [Downloadable!] (restricted)
  10. Salvador Ortigueira, 1999. "Equilibrium Indeterminacy in an Endogenous Growth Model: Debt as a Coordination Device," Working Papers 9901, Centro de Investigacion Economica, ITAM. [Downloadable!]
  11. Danyang Xie, 2002. "On Time Inconsistency: A Technical Issue in Stackelberg Differential Games," Macroeconomics 0212004, EconWPA. [Downloadable!]
    Other versions:
  12. Rafaela Pérez Sánchez & Jesús Ruiz, 2004. "Global and local indeterminacy and optimal environmental public policies in an economy with public abatement activities," Economic Working Papers at Centro de Estudios Andaluces E2004/79, Centro de Estudios Andaluces. [Downloadable!]
  13. Marius Valentin Boldea, 2006. "On the equilibrium in a discrete-time Lucas Model with endogenous leisure," Cahiers de la Maison des Sciences Economiques b06054, Université Panthéon-Sorbonne (Paris 1). [Downloadable!]
  14. José Ramón Ruiz-Tamarit, . "Multiplicity, Overtaking and Convergence in the Lucas Two-Sector Growth Model," Working Papers 2002-17, FEDEA. [Downloadable!]
  15. Jaime Alonso-Carrera, 2001. "More on the dynamics in the endogenous growth model with human capital," Investigaciones Economicas, Fundación SEPI, vol. 25(3), pages 561-583, September. [Downloadable!]
  16. Kazuo Mino, 2000. "Preference Structure and Indeterminacy in Two-Sector Models of Endogenous Growth," Econometric Society World Congress 2000 Contributed Papers 0674, Econometric Society. [Downloadable!]
  17. Orlando Gomes, 2005. "Knowledge creation and technology difusion: a framework to understand economic growth," Revista de Analisis Economico – Economic Analysis Review, Ilades-Georgetown University, Economics Department, vol. 20(2), pages 41-61, December. [Downloadable!]
  18. William Smith, 2006. "A Closed Form Solution to the Ramsey Model," Contributions to Macroeconomics, Berkeley Electronic Press, vol. 6(1), pages 1356-1356. [Downloadable!] (restricted)
  19. Klaus, WAELDE, 2003. "Endogenous growth cycles," Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES) Discussion Paper 2004012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 15 Mar 2004. [Downloadable!]
    Other versions:
    • Klaus Wälde, 2005. "Endogenous Growth Cycles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(3), pages 867-894, 08. [Downloadable!] (restricted)
  20. Danyang Xie, 2002. "Explicit Transitional Dynamics in Growth Models," GE, Growth, Math methods 0207003, EconWPA. [Downloadable!]
  21. Klaus Waelde, 2003. "Endogenous Business Cycles and Growth," CESifo Working Paper Series CESifo Working Paper No. , CESifo GmbH. [Downloadable!]
    Other versions:
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