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Solving Non-Linear Models with Saddle-Path Instabilities

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  • Peter Stemp

    ()

  • Ric Herbert

    ()

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    File URL: http://hdl.handle.net/10.1007/s10614-006-9042-6
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    Bibliographic Info

    Article provided by Society for Computational Economics in its journal Computational Economics.

    Volume (Year): 28 (2006)
    Issue (Month): 2 (September)
    Pages: 211-231

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    Handle: RePEc:kap:compec:v:28:y:2006:i:2:p:211-231

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    Related research

    Keywords: complex-valued eigenvalues; computational techniques; cyclic convergence; macroeconomics; monotonic convergence; real-valued eigenvalues; saddle-path instability;

    References

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    1. Robert E. Lucas & Jr., 1967. "Adjustment Costs and the Theory of Supply," Journal of Political Economy, University of Chicago Press, vol. 75, pages 321.
    2. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
    3. Fumio Hayashi, 1981. "Tobin's Marginal q and Average a : A Neoclassical Interpretation," Discussion Papers 457, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    4. Peter J. Stemp, 2005. "Finding an Example of an Optimising Agent with Cyclical Behaviour," Computing in Economics and Finance 2005 4, Society for Computational Economics.
    5. Matsuyama, Kiminori, 1987. "Current account dynamics in a finite horizon model," Journal of International Economics, Elsevier, vol. 23(3-4), pages 299-313, November.
    6. Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004. "Trend-reverting fluctuations in the life-cycle model," Journal of Economic Theory, Elsevier, vol. 119(2), pages 334-356, December.
    7. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Working Papers UWEC-2004-09-P, University of Washington, Department of Economics, revised Jan 2004.
    8. Treadway, Arthur B, 1969. "On Rational Entrepreneurial Behaviour and the Demand for Investment," Review of Economic Studies, Wiley Blackwell, vol. 36(106), pages 227-39, April.
    9. A.K.M. Mahbub Morshed & Stephen Turnovsky, 2003. "Sectoral Adjustment Costs and Real Exchange Rate Dynamics in a Two-Sector Dependent Economy," Working Papers UWEC-2002-17-P, University of Washington, Department of Economics, revised Jan 2003.
    10. Stephen J. Turnovsky, 1997. "International Macroeconomic Dynamics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262201119, December.
    11. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    12. Stephen J. Turnovsky, 2000. "Methods of Macroeconomic Dynamics, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262201232, December.
    13. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    14. Peter Kunkel & Oskar von dem Hagen, 2000. "Numerical Solution of Infinite-Horizon Optimal-Control Problems," Computational Economics, Society for Computational Economics, vol. 16(3), pages 189-205, December.
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    Cited by:
    1. Stemp, Peter J. & Herbert, Ric D., 2008. "Comparing different approaches for solving optimizing models with significant nonlinearities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 78(2), pages 357-366.
    2. Herbert, Ric D. & Stemp, Peter J., 2009. "Solving a non-linear model: The importance of model specification for deriving a suitable solution," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(9), pages 2847-2855.
    3. Dietrich, Andreas & Krüger, Jens, 2010. "Numerical Explorations of the Ngai-Pissarides Model of Growth and Structural Change," Darmstadt Discussion Papers in Economics 46865, Darmstadt Technical University, Department of Business Administration, Economics and Law, Institute of Economics (VWL).
    4. Herbert, Ric D. & Stemp, Peter J., 2011. "Solving macroeconomic models with “off-the-shelf” software: An example of potential pitfalls," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(7), pages 1375-1384.

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