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Stabilizing inflation in a simple monetary policy model with heterogeneous agents

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  • Colucci, Domenico
  • Valori, Vincenzo

Abstract

We study a simple monetary model in which a central bank faces a boundedly rational private sector and has the goal of stabilizing inflation. The system's dynamics is generated by the interaction of the expectations about inflation of the various agents involved. A modest degree of heterogeneity in such expectations is found to have interesting consequences, in particular when the central bank is uncertain about the relevant behavioral parameters. We find that a simple heuristic based on mean and variance of the distribution of behavioural parameters stabilizes the system for a wide parametric region.

Suggested Citation

  • Colucci, Domenico & Valori, Vincenzo, 2015. "Stabilizing inflation in a simple monetary policy model with heterogeneous agents," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 233-244.
    • Handle: RePEc:eee:matcom:v:108:y:2015:i:c:p:233-244
    DOI: 10.1016/j.matcom.2013.09.002
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    References listed on IDEAS

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    1. Colucci, Domenico & Valori, Vincenzo, 2011. "Adaptive expectations and cobweb phenomena: Does heterogeneity matter?," Journal of Economic Dynamics and Control, Elsevier, vol. 35(8), pages 1307-1321, August.
    2. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 115(1), pages 147-180.
    3. Colucci, D. & Valori, V., 2006. "Ways of learning in a simple economic setting: A comparison," Chaos, Solitons & Fractals, Elsevier, vol. 29(3), pages 653-670.
    4. John C. Williams, 2009. "Heeding Daedalus: Optimal Inflation and the Zero Lower Bound," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(2 (Fall)), pages 1-49.
    5. Heemeijer Peter & Hommes Cars & Sonnemans Joep & Tuinstra Jan, 2012. "An Experimental Study on Expectations and Learning in Overlapping Generations Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-49, October.
    6. Hommes, Cars, 2011. "The heterogeneous expectations hypothesis: Some evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 1-24, January.
    7. Domenico Colucci & Vincenzo Valori, 2008. "Asset Price Dynamics When Behavioural Heterogeneity Varies," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 3-20, September.
    8. Daniel L. Thornton, 2012. "How did we get to inflation targeting and where do we need to go to now? a perspective from the U.S. experience," Review, Federal Reserve Bank of St. Louis, vol. 94(Jan), pages 65-81.
    9. Bischi, Gian-Italo & Marimon, Ramon, 2001. "Global Stability Of Inflation Target Policies With Adaptive Agents," Macroeconomic Dynamics, Cambridge University Press, vol. 5(02), pages 148-179, April.
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    Cited by:

    1. Andrew Phiri, 2018. "Inflation persistence in BRICS countries: A quantile autoregressive (QAR) approach," Business and Economic Horizons (BEH), Prague Development Center, vol. 14(1), pages 97-104, January.
    2. Phiri, Andrew, 2017. "Inflation persistence in BRICS countries: A quantile autoregressive (QAR) model," MPRA Paper 79956, University Library of Munich, Germany.
    3. Domenico Colucci & Matteo Vigna & Vincenzo Valori, 2022. "Large and uncertain heterogeneity of expectations: stability of equilibrium from a policy maker standpoint," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 17(1), pages 319-348, January.

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    More about this item

    Keywords

    Heterogeneous expectations; Bounded rationality; Stability of steady states; Inflation targeting; Monetary policy;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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