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An analytical and numerical search for bifurcations in open economy New Keynesian models

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  • Barnett, William
  • Eryilmaz, Unal

Abstract

We explore bifurcation phenomena in the open-economy New Keynesian model developed by Gali and Monacelli (2005). We find that the open economy framework brings about more complex dynamics, along with a wider variety of qualitative behaviors and policy responses. Introducing parameters related to the open economy structure affects the values of bifurcation parameters and changes the location of bifurcation boundaries. As a result, the stratification of the confidence region, as previously seen in closed-economy New Keynesian models, remains an important research and policy risk to be considered in the context of the open-economy New Keynesian functional structures. In fact, econometrics and optimal policy design become more complex within an open economy. Dynamical inferences need to be qualified by the risk of bifurcation boundaries crossing the confidence regions. Policy design needs to take into consideration that a change in monetary policy can produce an unanticipated bifurcation, without adequate prior econometrics research.

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  • Barnett, William & Eryilmaz, Unal, 2012. "An analytical and numerical search for bifurcations in open economy New Keynesian models," MPRA Paper 40426, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:40426
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    References listed on IDEAS

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    6. Barnett, William A. & Duzhak, Evgeniya Aleksandrovna, 2008. "Non-robust dynamic inferences from macroeconometric models: Bifurcation stratification of confidence regions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3817-3825.
    7. Banerjee, Sanjibani & A. Barnett, William & A. Duzhak, Evgeniya & Gopalan, Ramu, 2011. "Bifurcation analysis of Zellner's Marshallian Macroeconomic Model," Journal of Economic Dynamics and Control, Elsevier, vol. 35(9), pages 1577-1585, September.
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    9. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
    10. Airaudo, Marco & Zanna, Luis-Felipe, 2012. "Interest rate rules, endogenous cycles, and chaotic dynamics in open economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(10), pages 1566-1584.
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    12. Barnett William A. & He Yijun, 1999. "Stability Analysis of Continuous-Time Macroeconometric Systems," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(4), pages 1-22, January.
    13. Campbell Leith & Ioana Moldovan & Raffaele Rossi, 2012. "Optimal Monetary Policy in a New Keynesian Model with Habits in Consumption," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 15(3), pages 416-435, July.
    14. Demirel, Ufuk Devrim, 2010. "Macroeconomic stabilization in developing economies: Are optimal policies procyclical?," European Economic Review, Elsevier, vol. 54(3), pages 409-428, April.
    15. Taylor, John B., 1993. "Discretion versus policy rules in practice," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 39(1), pages 195-214, December.
    Full references (including those not matched with items on IDEAS)

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    Cited by:

    1. Barnett, William A. & Ghosh, Taniya, 2013. "Bifurcation analysis of an endogenous growth model," The Journal of Economic Asymmetries, Elsevier, vol. 10(1), pages 53-64.
    2. Barnett, William A. & Eryilmaz, Unal, 2013. "Hopf bifurcation in the Clarida, Gali, and Gertler model," Economic Modelling, Elsevier, vol. 31(C), pages 401-404.
    3. Kaplan, David M. & Zhuo, Longhao, 2021. "Frequentist properties of Bayesian inequality tests," Journal of Econometrics, Elsevier, vol. 221(1), pages 312-336.
    4. William Barnett & Unal Eryilmaz, 2022. "Monetary Policy and Determinacy: An Inquiry in Open Economy New Keynesian Framework," WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS 202203, University of Kansas, Department of Economics.
    5. Alexeeva, Tatyana A. & Barnett, William A. & Kuznetsov, Nikolay V. & Mokaev, Timur N., 2020. "Dynamics of the Shapovalov mid-size firm model," Chaos, Solitons & Fractals, Elsevier, vol. 140(C).
    6. William A. Barnett & Taniya Ghosh, 2014. "Stability analysis of Uzawa–Lucas endogenous growth model," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 33-44, April.
    7. David M. Kaplan, 2015. "Bayesian and frequentist tests of sign equality and other nonlinear inequalities," Working Papers 1516, Department of Economics, University of Missouri.
    8. William A. Barnett & Unal Eryilmaz, 2023. "Monetary Policy and Determinacy: An Inquiry into Open Economy New Keynesian Macrodynamics," Open Economies Review, Springer, vol. 34(2), pages 217-253, April.
    9. Moosavi Mohseni, Reza & Kilicman, Adem, 2014. "Hopf bifurcation in an open monetary economic system: Taylor versus inflation targeting rules," Chaos, Solitons & Fractals, Elsevier, vol. 61(C), pages 8-12.
    10. Mohd Naim Bin Mohd Johari & Adem Kilicman, 2017. "Hopf bifurcation in an open monetary economic system: Taylor vs. inflation targeting rules (Malaysian case)," Cogent Economics & Finance, Taylor & Francis Journals, vol. 5(1), pages 1327184-132, January.

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    More about this item

    Keywords

    stability; bifurcation; open economy; New Keynesian; determinacy; macroeconomics; dynamic systems;
    All these keywords.

    JEL classification:

    • C51 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Construction and Estimation
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • E37 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Forecasting and Simulation: Models and Applications
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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