The dynamics of the NAIRU model with two switching regimes
We consider a model of inflation and unemployment proposed in Ferri et al. (JEBO, 2001), in which the dynamics are described by a discontinuous piecewise linear map, made up of two branches. We shall show that the bounded dynamics may be classified in two cases: we may have either regular dynamics with stable cycles of any period or quasiperiodic trajectories, or only chaotic dynamics (pure chaos in which a unique absolutely continuous invariant ergodic measure exists, and structurally stable), in a rich variety of cyclical chaotic intervals. The main results are the analytical formulation of the border collision bifurcation curves, through which we give a complete picture of the possible outcomes of the model.
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.
References listed on IDEAS
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.:
- Hommes, Cars H. & Nusse, Helena E. & Simonovits, Andras, 1995. "Cycles and chaos in a socialist economy," Journal of Economic Dynamics and Control, Elsevier, vol. 19(1-2), pages 155-179.
- George A. Akerlof & William T. Dickens & George L. Perry, 2000. "Near-Rational Wage and Price Setting and the Long-Run Phillips Curve," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 31(1), pages 1-60.
- Kiminori Matsuyama, 1996.
"Growing Through Cycles,"
1203, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Puu, Tonu & Gardini, Laura & Sushko, Irina, 2005. "A Hicksian multiplier-accelerator model with floor determined by capital stock," Journal of Economic Behavior & Organization, Elsevier, vol. 56(3), pages 331-348, March.
- Ferri, Piero & Greenberg, Edward & Day, Richard H., 2001. "The Phillips curve, regime switching, and the NAIRU," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 23-37, September.
- Richard Layard & Stephen Nickell, 1992.
"Unemployment in the OECD Countries,"
CEP Discussion Papers
dp0081, Centre for Economic Performance, LSE.
- Laurence Ball & N. Gregory Mankiw, 2002.
"The NAIRU in Theory and Practice,"
Journal of Economic Perspectives,
American Economic Association, vol. 16(4), pages 115-136, Fall.
- Laurence Ball & N Gregory Mankiw, 2002. "The NAIRU in Theory and Practice," Economics Working Paper Archive 475, The Johns Hopkins University,Department of Economics.
- Laurence Ball & N. Gregory Mankiw, 2002. "The NAIRU in Theory and Practice," NBER Working Papers 8940, National Bureau of Economic Research, Inc.
- Laurence Ball & N. Gregory Mankiw, 2002. "The NAIRU in Theory and Practice," Harvard Institute of Economic Research Working Papers 1963, Harvard - Institute of Economic Research.
- Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
- Day, Richard H. & Shafer, Wayne, 1987. "Ergodic fluctuations in deterministic economic models," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 339-361, September.
- Argia M. Sbordone, 2007.
"Globalization and Inflation Dynamics: the Impact of Increased Competition,"
NBER Working Papers
13556, National Bureau of Economic Research, Inc.
- Argia M. Sbordone, 2007. "Globalization and Inflation Dynamics: The Impact of Increased Competition," NBER Chapters, in: International Dimensions of Monetary Policy, pages 547-579 National Bureau of Economic Research, Inc.
- Argia M. Sbordone, 2008. "Globalization and inflation dynamics: the impact of increased competition," Staff Reports 324, Federal Reserve Bank of New York.
- Bohm, Volker & Kaas, Leo, 2000. "Differential savings, factor shares, and endogenous growth cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 24(5-7), pages 965-980, June.
- Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
- Corrado, Luisa & Holly, Sean, 2003.
"Nonlinear Phillips curves, mixing feedback rules and the distribution of inflation and output,"
Journal of Economic Dynamics and Control,
Elsevier, vol. 28(3), pages 467-492, December.
- Luisa Corrado & Sean Holly, 2003. "Nonlinear Phillips Curves, Mixing Feedback Rules and the Distribution of Inflation and Output," CEIS Research Paper 37, Tor Vergata University, CEIS.
- Fazzari, Steven & Ferri, Piero & Greenberg, Edward, 2008. "Cash flow, investment, and Keynes-Minsky cycles," Journal of Economic Behavior & Organization, Elsevier, vol. 65(3-4), pages 555-572, March.
- Anjan Mukherji, 2005.
"Robust cyclical growth,"
International Journal of Economic Theory,
The International Society for Economic Theory, vol. 1(3), pages 233-246.
- Hommes, Cars H., 1995. "A reconsideration of Hicks' non-linear trade cycle model," Structural Change and Economic Dynamics, Elsevier, vol. 6(4), pages 435-459, December.
- Claudio E. V. Borio & Andrew Filardo, 2007. "Globalisation and inflation: New cross-country evidence on the global determinants of domestic inflation," BIS Working Papers 227, Bank for International Settlements.
- Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
- Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July.
- Mitra, Tapan, 2001. "A Sufficient Condition for Topological Chaos with an Application to a Model of Endogenous Growth," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 133-152, January.
When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:681-695. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei)
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 references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link 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 profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.