The J2 Status of "Chaos" in Period Macroeconomic Models
AbstractWe 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 macroeconomics. 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 chosen. 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 typical example from the recent literature, where chaos results from an asymptotically stable continuous-time macroeconomic model when it is reformulated as a discrete-time model with a sufficiently long period length.
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Bibliographic InfoArticle provided by De Gruyter in its journal Studies in Nonlinear Dynamics & Econometrics.
Volume (Year): 13 (2009)
Issue (Month): 2 (May)
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Web page: http://www.degruyter.com
Other versions of this item:
- 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.
- E24 - Macroeconomics and Monetary Economics - - Macroeconomics: Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution
- 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
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.:
- Invernizzi, Sergio & Medio, Alfredo, 1991. "On lags and chaos in economic dynamic models," Journal of Mathematical Economics, Elsevier, vol. 20(6), pages 521-550.
- 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.
- Medio, Alfredo, 1991. "Continuous-time models of chaos in economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 115-151, July.
- Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619, October.
- 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 303-24, April.
- 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.
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