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Consistent Expectations Equilibria In Markov Regime Switching Models And Inflation Dynamics

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  • Marco Airaudo
  • Ina Hajdini

Abstract

We study the existence of Stochastic Consistent Expectations Equilibria (SCEE) in linear Markov regime switching models. An SCEE exists when the model‐implied mean and first‐order autocorrelation coincide with those predicted by the agents via misspecified forecasting rules. For a simple regime‐switching monetary policy model, the parametric space where at least one SCEE exists is rather wide, and may extend well beyond the rational expectations equilibrium determinacy frontier. Misspecified expectations combined with regime switching yield a strong endogenous amplification mechanism that help generate the near unit root dynamics for inflation observed in the United States before the Great Moderation.

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  • Marco Airaudo & Ina Hajdini, 2021. "Consistent Expectations Equilibria In Markov Regime Switching Models And Inflation Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(4), pages 1401-1430, November.
  • Handle: RePEc:wly:iecrev:v:62:y:2021:i:4:p:1401-1430
    DOI: 10.1111/iere.12529
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    1. Mariano Kulish & Adrian Pagan, 2017. "Estimation and Solution of Models with Expectations and Structural Changes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 255-274, March.
    2. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.
    3. Olivier Coibion & Yuriy Gorodnichenko & Rupal Kamdar, 2018. "The Formation of Expectations, Inflation, and the Phillips Curve," Journal of Economic Literature, American Economic Association, vol. 56(4), pages 1447-1491, December.
    4. Bianchi, Francesco, 2016. "Methods for measuring expectations and uncertainty in Markov-switching models," Journal of Econometrics, Elsevier, vol. 190(1), pages 79-99.
    5. Andreas Fuster & Benjamin Hebert & David Laibson, 2012. "Natural Expectations, Macroeconomic Dynamics, and Asset Pricing," NBER Macroeconomics Annual, University of Chicago Press, vol. 26(1), pages 1-48.
    6. Klaus Adam, 2007. "Experimental Evidence on the Persistence of Output and Inflation," Economic Journal, Royal Economic Society, vol. 117(520), pages 603-636, April.
    7. Guido Ascari & Anna Florio & Alessandro Gobbi, 2020. "Controlling Inflation With Timid Monetary–Fiscal Regime Changes," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 61(2), pages 1001-1024, May.
    8. Cars Hommes & Kostas Mavromatis & Tolga Ozden & Mei Zhu, 2019. "Behavioral learning equilibria in the New Keynesian model," DNB Working Papers 654, Netherlands Central Bank, Research Department.
    9. Marcet, Albert & Sargent, Thomas J, 1989. "Convergence of Least-Squares Learning in Environments with Hidden State Variables and Private Information," Journal of Political Economy, University of Chicago Press, vol. 97(6), pages 1306-1322, December.
    10. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
    11. Nelson C. Mark, 2009. "Changing Monetary Policy Rules, Learning, and Real Exchange Rate Dynamics," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 41(6), pages 1047-1070, September.
    12. Ulrike Malmendier & Stefan Nagel, 2016. "Learning from Inflation Experiences," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 131(1), pages 53-87.
    13. Fabio Milani & Ashish Rajbhandari, 2012. "Expectation Formation and Monetary DSGE Models: Beyond the Rational Expectations Paradigm," Advances in Econometrics, in: DSGE Models in Macroeconomics: Estimation, Evaluation, and New Developments, pages 253-288, Emerald Group Publishing Limited.
    14. Barthélemy, Jean & Marx, Magali, 2017. "Solving endogenous regime switching models," Journal of Economic Dynamics and Control, Elsevier, vol. 77(C), pages 1-25.
    15. Hommes, Cars & Zhu, Mei, 2014. "Behavioral learning equilibria," Journal of Economic Theory, Elsevier, vol. 150(C), pages 778-814.
    16. Thomas A. Lubik & Frank Schorfheide, 2004. "Testing for Indeterminacy: An Application to U.S. Monetary Policy," American Economic Review, American Economic Association, vol. 94(1), pages 190-217, March.
    17. Troy Davig & Taeyoung Doh, 2014. "Monetary Policy Regime Shifts and Inflation Persistence," The Review of Economics and Statistics, MIT Press, vol. 96(5), pages 862-875, December.
    18. Michael Woodford, 2013. "Macroeconomic Analysis Without the Rational Expectations Hypothesis," Annual Review of Economics, Annual Reviews, vol. 5(1), pages 303-346, May.
    19. Roger E. A. Farmer & Daniel F. Waggoner & Tao Zha, 2010. "Generalizing the Taylor Principle: Comment," American Economic Review, American Economic Association, vol. 100(1), pages 608-617, March.
    20. Seonghoon Cho, 2016. "Sufficient Conditions for Determinacy in a Class of Markov-Switching Rational Expectations Models," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 21, pages 182-200, July.
    21. Cho, Seonghoon, 2021. "Determinacy and classification of Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 127(C).
    22. Pivetta, Frederic & Reis, Ricardo, 2007. "The persistence of inflation in the United States," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1326-1358, April.
    23. George W. Evans, 2001. "Expectations in Macroeconomics. Adaptive versus Eductive Learning," Revue Économique, Programme National Persée, vol. 52(3), pages 573-582.
    24. Milani, Fabio, 2020. "Learning And The Evolution Of The Fed’S Inflation Target," Macroeconomic Dynamics, Cambridge University Press, vol. 24(8), pages 1904-1923, December.
    25. Francesco Bianchi, 2013. "Regime Switches, Agents' Beliefs, and Post-World War II U.S. Macroeconomic Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 80(2), pages 463-490.
    26. Mario J. Crucini & Mototsugu Shintani & Takayuki Tsuruga, 2020. "A Behavioral Explanation for the Puzzling Persistence of the Aggregate Real Exchange Rate," NBER Working Papers 27420, National Bureau of Economic Research, Inc.
    27. Stephanie Schmitt-Grohé & Martín Uribe, 2014. "Liquidity Traps: an Interest-rate-based Exit Strategy," Manchester School, University of Manchester, vol. 82(S1), pages 1-14, September.
    28. John H. Cochrane, 2018. "Michelson-Morley, Fisher, and Occam: The Radical Implications of Stable Quiet Inflation at the Zero Bound," NBER Macroeconomics Annual, University of Chicago Press, vol. 32(1), pages 113-226.
    29. Luca Benati, 2008. "Investigating Inflation Persistence Across Monetary Regimes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 123(3), pages 1005-1060.
    30. Jean Barthélemy & Magali Marx, 2019. "Monetary policy switching and indeterminacy," Quantitative Economics, Econometric Society, vol. 10(1), pages 353-385, January.
    31. Marco Airaudo & Ina Hajdini, 2021. "Wealth Effects, Price Markups, and the Neo-Fisherian Hypothesis," Working Papers 21-27, Federal Reserve Bank of Cleveland.
    32. Stephen D. Williamson, 2018. "Inflation Control: Do Central Bankers Have It Right?," Review, Federal Reserve Bank of St. Louis, vol. 100(2), pages 127-150.
    33. Colander,David (ed.), 2006. "Post Walrasian Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521865487.
    34. Alberto Cavallo & Guillermo Cruces & Ricardo Perez-Truglia, 2017. "Inflation Expectations, Learning, and Supermarket Prices: Evidence from Survey Experiments," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 1-35, July.
    35. Cars Hommes, 2021. "Behavioral and Experimental Macroeconomics and Policy Analysis: A Complex Systems Approach," Journal of Economic Literature, American Economic Association, vol. 59(1), pages 149-219, March.
    36. Colander,David (ed.), 2006. "Post Walrasian Macroeconomics," Cambridge Books, Cambridge University Press, number 9780521684200.
    37. Timothy Cogley & Argia M. Sbordone, 2008. "Trend Inflation, Indexation, and Inflation Persistence in the New Keynesian Phillips Curve," American Economic Review, American Economic Association, vol. 98(5), pages 2101-2126, December.
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