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Global dynamics in macroeconomics: an overlapping generations example

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  • Gomis-Porqueras, Pere
  • Haro, Alex

Abstract

In this paper, we present some techniques used in the dynamical systems literature that let us characterize the stable and unstable manifolds of a given dynamical system. As a result, we can study how an economy behaves as it moves far away from the steady state in an environment where economic agents do not face uncertainty. The underlying idea behind these methods is to compute the manifolds nonlocally by exploiting an invariance condition that analytically describes these manifolds. In order to illustrate these techniques, we present a general equilibrium model under two different policy regimes demonstrating that local and global dynamics of an economic system can be substantially different.

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  • Gomis-Porqueras, Pere & Haro, Alex, 2003. "Global dynamics in macroeconomics: an overlapping generations example," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 1941-1959.
    • Handle: RePEc:eee:dyncon:v:27:y:2003:i:11:p:1941-1959
    DOI: 10.1016/S0165-1889(02)00111-2
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    References listed on IDEAS

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    1. Smale, Stephen, 1976. "Dynamics in General Equilibrium Theory," American Economic Review, American Economic Association, vol. 66(2), pages 288-294, May.
    2. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, Oxford University Press, vol. 70(1), pages 65-94.
    3. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    4. Townsend, Robert M, 1987. "Economic Organization with Limited Communication," American Economic Review, American Economic Association, vol. 77(5), pages 954-971, December.
    5. Schreft, Stacey L. & Smith, Bruce D., 2000. "The evolution of cash transactions: Some implications for monetary policy," Journal of Monetary Economics, Elsevier, vol. 46(1), pages 97-120, August.
    6. Douglas W. Diamond & Philip H. Dybvig, 2000. "Bank runs, deposit insurance, and liquidity," Quarterly Review, Federal Reserve Bank of Minneapolis, issue Win, pages 14-23.
    7. Gaspar, Jess & L. Judd, Kenneth, 1997. "Solving Large-Scale Rational-Expectations Models," Macroeconomic Dynamics, Cambridge University Press, vol. 1(01), pages 45-75, January.
    8. Bischi, Gian Italo & Gardini, Laura & Kopel, Michael, 2000. "Analysis of global bifurcations in a market share attraction model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 855-879, June.
    9. Yokoo, Masanori, 2000. "Chaotic dynamics in a two-dimensional overlapping generations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 909-934, June.
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    Cited by:

    1. Zhigang Feng & Matthew Hoelle, 2017. "Indeterminacy in stochastic overlapping generations models: real effects in the long run," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 63(2), pages 559-585, February.
    2. Gomis-Porqueras, Pere & Haro, Alex, 2007. "Global bifurcations, credit rationing and recurrent hyperinflations," Journal of Economic Dynamics and Control, Elsevier, vol. 31(2), pages 473-491, February.
    3. Zhigang Feng, 2010. "Numerical Simulation of the Overlapping Generations Models with Indeterminacy," Levine's Working Paper Archive 661465000000001110, David K. Levine.
    4. Gomis-Porqueras, Pere & Haro, Àlex, 2009. "A geometric description of a macroeconomic model with a center manifold," Journal of Economic Dynamics and Control, Elsevier, vol. 33(6), pages 1217-1235, June.

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