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Stability issues of endogenous growth models

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  • Koch, Karl-Josef

Abstract

In the analysis of endogenous growth models often projections are used which map the balanced growth path into a single point. This is done in order to draw conclusions about the stability of the system or the determinacy of transition paths. This procedure hinges on the homogeneity of the models under consideration, whereas the possible existence of a balanced growth path or a more general asymptotic attractor does not. Furthermore, exponential asymptotic stability cannot be proved on the basis of a model reduced by projection. We show that one has to be careful in drawing conclusions from the projected system in order to judge upon the behavior near the balanced growth path. And with two standard examples of endogenous growth we demonstrate an analytical method to study exponential stability in the full model.

Suggested Citation

  • Koch, Karl-Josef, 1995. "Stability issues of endogenous growth models," Discussion Papers, Series II 270, University of Konstanz, Collaborative Research Centre (SFB) 178 "Internationalization of the Economy".
    • Handle: RePEc:zbw:kondp2:270
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    1. Benhabib Jess & Perli Roberto, 1994. "Uniqueness and Indeterminacy: On the Dynamics of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 63(1), pages 113-142, June.
    2. Michael B. Devereux & Beverly J. Lapham, 1994. "The Stability of Economic Integration and Endogenous Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 299-305.
    3. Casey B. Mulligan & Xavier Sala-i-Martin, 1993. "Transitional Dynamics in Two-Sector Models of Endogenous Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(3), pages 739-773.
    4. David Cass, 1965. "Optimum Growth in an Aggregative Model of Capital Accumulation," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 32(3), pages 233-240.
    5. Caballe, Jordi & Santos, Manuel S, 1993. "On Endogenous Growth with Physical and Human Capital," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1042-1067, December.
    6. 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.
    7. 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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