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.
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- Layard, R. & Nickell, S., 1991.
"Unemployment in the OECD Countries,"
Economics Series Working Papers
99130, University of Oxford, Department of Economics.
- 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.
- 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.
- Argia M. Sbordone, 2008.
"Globalization and inflation dynamics: the impact of increased competition,"
324, Federal Reserve Bank of New York.
- 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, 2007. "Globalization and Inflation Dynamics: the Impact of Increased Competition," NBER Working Papers 13556, 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.
- 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," Economics Working Paper Archive 475, The Johns Hopkins University,Department of Economics.
- Day, Richard H, 1982. "Irregular Growth Cycles," American Economic Review, American Economic Association, vol. 72(3), pages 406-14, June.
- Kiminori Matsuyama, 1999.
"Growing Through Cycles,"
Econometric Society, vol. 67(2), pages 335-348, March.
- Matsuyama, Kiminori, 1996. "Growing Through Cycles," Economics Series 40, Institute for Advanced Studies.
- Kiminori Matsuyama, 1996. "Growing Through Cycles," Discussion Papers 1203, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Matsuyama, K., 1996. "Growing through cycles," DELTA Working Papers 96-18, DELTA (Ecole normale supérieure).
- Anjan Mukherji, 2003.
"Robust Cyclical Growth,"
ISER Discussion Paper
0588, Institute of Social and Economic Research, Osaka University.
- 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.
- 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. & Shafer, Wayne, 1987. "Ergodic fluctuations in deterministic economic models," Journal of Economic Behavior & Organization, Elsevier, vol. 8(3), pages 339-361, September.
- 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.
- 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.
- 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.
- 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.
- 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.
- Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical dynamics and economics," Journal of Economic Behavior & Organization, Elsevier, vol. 16(1-2), pages 37-83, July.
- Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
- 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.
- Day, Richard H. & Pianigiani, Giulio, 1991. "Statistical Dynamics and Economics," Working Paper Series 293, Research Institute of Industrial Economics.
- 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.
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