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The dynamics of the NAIRU model with two switching regimes

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  • Tramontana, F.
  • Gardini, L.
  • Ferri, P.

Abstract

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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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

Volume (Year): 34 (2010)
Issue (Month): 4 (April)
Pages: 681-695

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Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:681-695

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Web page: http://www.elsevier.com/locate/jedc

Related research

Keywords: Phillips curve Regime switching NAIRU Nonlinearities Discontinuous maps;

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References

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  1. Anjan Mukherji, 2005. "Robust cyclical growth," International Journal of Economic Theory, The International Society for Economic Theory, vol. 1(3), pages 233-246.
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  16. 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.
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  18. Gardini, Laura & Sushko, Iryna & Naimzada, Ahmad K., 2008. "Growing through chaotic intervals," Journal of Economic Theory, Elsevier, vol. 143(1), pages 541-557, November.
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Citations

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Cited by:
  1. Piero Ferri, 2013. "Income distribution and debts in a fragile economy: market processes and macro constraints," Journal of Economic Interaction and Coordination, Springer, vol. 8(2), pages 219-230, October.
  2. Fabio Tramontana & Frank Westerhoff & Laura Gardini, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Working Papers 1005, University of Urbino Carlo Bo, Department of Economics, Society & Politics - Scientific Committee - L. Stefanini & G. Travaglini, revised 2010.
  3. Elena Olmedo, 2014. "Forecasting Spanish Unemployment Using Near Neighbour and Neural Net Techniques," Computational Economics, Society for Computational Economics, vol. 43(2), pages 183-197, February.

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