IDEAS home Printed from https://ideas.repec.org/p/imk/wpaper/14-2008.html
   My bibliography  Save this paper

The J2 Status of Chaos in Period Macroeconomic Models

Author

Listed:
  • Peter Flaschel

    (Bielefeld University, Germany)

  • Christian Proano

    (IMK at the Hans Boeckler Foundation)

Abstract

We reconsider the issue of the (non-)equivalence of period and continuous time analysis in macroeconomic theory and its implications for the existence of chaotic dynamics in empirical macro. We start from the methodological precept that period and continuous time representations of the same macrostructure should give rise to the same qualitative outcome, i.e. in particular, that the results of period analysis should not depend on the length of the period. A simple example where this is fulfilled is given by the Solow growth model, while all chaotic dynamics in period models of dimension less than 3 are in conflict with this precept. We discuss a recent and typical example from the literature, where chaos results from an asymptotically stable continuous-time macroeconomic model when this is reformulated as a discrete-time model with a long period length.

Suggested Citation

  • Peter Flaschel & Christian Proano, 2008. "The J2 Status of Chaos in Period Macroeconomic Models," IMK Working Paper 14-2008, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    • Handle: RePEc:imk:wpaper:14-2008
    as

    Download full text from publisher

    File URL: http://www.boeckler.de/pdf/p_imk_wp_14_2008.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
    2. Foley, Duncan K, 1975. "On Two Specifications of Asset Equilibrium in Macroeconomic Models," Journal of Political Economy, University of Chicago Press, vol. 83(2), pages 303-324, April.
    3. Roa Maria J & Vazquez Francisco Jose & Saura Dulce, 2008. "Unemployment and Economic Growth Cycles," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(2), pages 1-21, May.
    4. Peter Flaschel & Reiner Franke & Christian Proano, 2008. "On the Determinacy of New Keynesian Models with Staggered Wage and Price Setting," IMK Working Paper 11-2008, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    5. Medio, Alfredo, 1991. "Continuous-time models of chaos in economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 115-151, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christian R. Proano, 2009. "Heterogenous Behavioral Expectations, FX Fluctuations and Dynamic Stability in a Stylized Two-Country Macroeconomic Model," IMK Working Paper 03-2009, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Sacht, Stephen, 2014. "Analysis of various shocks within the high-frequency versions of the baseline New-Keynesian model," Economics Working Papers 2014-02, Christian-Albrechts-University of Kiel, Department of Economics.
    2. Klausinger, Hansjörg, 2000. "Walras' law and the IS-LM model. A tale of progress and regress," Department of Economics Working Paper Series 69, WU Vienna University of Economics and Business.
    3. Bask, Mikael & Proaño, Christian R., 2016. "Optimal monetary policy under learning and structural uncertainty in a New Keynesian model with a cost channel and inflation inertia," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 112-126.
    4. Hallegatte, Stéphane & Ghil, Michael & Dumas, Patrice & Hourcade, Jean-Charles, 2008. "Business cycles, bifurcations and chaos in a neo-classical model with investment dynamics," Journal of Economic Behavior & Organization, Elsevier, vol. 67(1), pages 57-77, July.
    5. Matsumoto, Akio & Szidarovszky, Ferenc, 2012. "Nonlinear delay monopoly with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 45(4), pages 507-519.
    6. Benjamin M. Friedman, 1980. "The Effect of Shifting Wealth Ownership on the Term Structure of Interest Rates," NBER Working Papers 0239, National Bureau of Economic Research, Inc.
    7. Reiner Franke & Stephen Sacht, 2014. "Some Observations On The High-Frequency Versions Of A Standard New-Keynesian Model," Bulletin of Economic Research, Wiley Blackwell, vol. 66(1), pages 72-94, January.
    8. Luciano Fanti & Piero Manfredi, 2003. "The Solow¡¯S Model With Endogenous Population: A Neoclassical Growth Cycle Model," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 28(2), pages 103-115, December.
    9. David, S.A. & Machado, J.A.T. & Quintino, D.D. & Balthazar, J.M., 2016. "Partial chaos suppression in a fractional order macroeconomic model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 122(C), pages 55-68.
    10. Reiner Franke, 2022. "A methodological problem in a supermultiplier model with too much acceleration," Metroeconomica, Wiley Blackwell, vol. 73(1), pages 93-108, February.
    11. Leland Yeager & Alan Rabin, 1997. "Monetary aspects of Walras's law and the stock-flow problem," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 25(1), pages 18-36, March.
    12. Lu Jiang, 1996. "Economic entropy and its application to the structure of the transport system," Quality & Quantity: International Journal of Methodology, Springer, vol. 30(2), pages 161-171, May.
    13. Ulrich Kohli & Christopher J. Ryan, 1986. "Australian Business Investment: A New Look at the Neoclassical Approach," The Economic Record, The Economic Society of Australia, vol. 62(4), pages 451-467, December.
    14. Chryssi Giannitsarou & Alexia Anagnostopoulos, 2005. "Modeling Time and Macroeconomic Dynamics," Money Macro and Finance (MMF) Research Group Conference 2005 60, Money Macro and Finance Research Group.
    15. Guy V. G. Stevens, 1976. "Balance of payment equations and exchange rate determination," International Finance Discussion Papers 95, Board of Governors of the Federal Reserve System (U.S.).
    16. Chiarella Carl & Di Guilmi Corrado, 2012. "The Fiscal Cost of Financial Instability," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-29, October.
    17. Traum, Nora & Yang, Shu-Chun S., 2011. "Monetary and fiscal policy interactions in the post-war U.S," European Economic Review, Elsevier, vol. 55(1), pages 140-164, January.
    18. Karl Farmer, 2000. "Intergenerational natural-capital equality in an overlapping-generations model with logistic regeneration," Journal of Economics, Springer, vol. 72(2), pages 129-152, June.
    19. Fanti, Luciano & Manfredi, Piero, 2007. "Chaotic business cycles and fiscal policy: An IS-LM model with distributed tax collection lags," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 736-744.
    20. Dominique, C-Rene & Rivera-Solis, Luis Eduardo, 2012. "The dynamics of market share’s growth and competition in quadratic mappings," MPRA Paper 43652, University Library of Munich, Germany.

    More about this item

    Keywords

    Period models; continuous time; (non-)equivalence; chaotic dynamics.;
    All these keywords.

    JEL classification:

    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:imk:wpaper:14-2008. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sabine Nemitz (email available below). General contact details of provider: https://edirc.repec.org/data/imkhbde.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.