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State-Dependent Probability Distributions in Non Linear Rational Expectations Models

Author

Listed:
  • Magali Marx

    (Banque de France)

  • Jean Barthelemy

    (Banque de France)

Abstract

In this paper, we solve a large class of non-linear rational expectations models with regime switching, i.e. recurring shifts in parameters. The regime-switches and the shocks may follow state-dependent probability distributions. Using a perturbation approach, we first prove that sufficient conditions ensuring the existence of a unique stable equilibrium follow from the corresponding conditions in a regime-switching model with state-independent probabilities. Second, we provide first and second order Taylor expansions of the solution in subclasses of models. Third, we show that state-dependence modifies solution at first-order if the steady-state differs across regimes, otherwise, it only modifies higher orders. Finally, we illustrate our results with a Fisherian model of inflation determination and a New-Keynesian model in which monetary policy switches endogenously between a less-active (dovish) and a more-active (hawkish) reaction against inflation. These examples highlight that the state-dependent fluctuations of transition probabilities can substantially alter the equilibrium dynamics through economic agents' expectations.

Suggested Citation

  • Magali Marx & Jean Barthelemy, 2013. "State-Dependent Probability Distributions in Non Linear Rational Expectations Models," 2013 Meeting Papers 576, Society for Economic Dynamics.
  • Handle: RePEc:red:sed013:576
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Barthélemy, J. & Marx, M., 2012. "Generalizing the Taylor Principle: New Comment," Working papers 403, Banque de France.
    2. Junior Maih, 2014. "Efficient Perturbation Methods for Solving Regime-Switching DSGE Models," Working Papers No 10/2014, Centre for Applied Macro- and Petroleum economics (CAMP), BI Norwegian Business School.
    3. Lhuissier, Stéphane & Zabelina, Margarita, 2015. "On the stability of Calvo-style price-setting behavior," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 77-95.
    4. Holden, Thomas, 2016. "Existence and uniqueness of solutions to dynamic models with occasionally binding constraints," EconStor Preprints 130142, ZBW - German National Library of Economics.
    5. Jean Barthélemy & Magali Marx, 2012. "Solving Rational Expectations Models," Sciences Po publications info:hdl:2441/3ug0u3qte39, Sciences Po.

    More about this item

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E43 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Interest Rates: Determination, Term Structure, and Effects

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