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Three Types of Robjst Ramsey Problem in a Linear-Quadratic Framework

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  • Hyosung Kwon
  • Jianjun Miao

Abstract

This paper studies robust Ramsey policy problems in a general discrete-time linear- quadratic framework when the Ramsey planner faces three types of ambiguity. This framework includes both exogenous and endogenous state variables. In addition, the equilibrium system from the private sector contains both backward-looking and forward-looking dynamics. We provide recursive characterizations and algorithms to solve for robust policy. Applying our method to a basic New Keynesian model of optimal monetary policy with persistent cost-push shocks, we find that (i) all three types of ambiguity make optimal monetary policy more history-dependent but for different reasons for each type; and (ii) they deliver qualitatively different initial responses of inflation and the output gap following a cost-push shock.

Suggested Citation

  • Hyosung Kwon & Jianjun Miao, 2013. "Three Types of Robjst Ramsey Problem in a Linear-Quadratic Framework," Boston University - Department of Economics - Working Papers Series 2013-019, Boston University - Department of Economics.
  • Handle: RePEc:bos:wpaper:wp2013-019
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    File URL: http://www.bu.edu/econ/files/2014/05/Miao-Three-Types-of-Nov-2013.pdf
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    References listed on IDEAS

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    1. Giordani, Paolo & Soderlind, Paul, 2004. "Solution of macromodels with Hansen-Sargent robust policies: some extensions," Journal of Economic Dynamics and Control, Elsevier, vol. 28(12), pages 2367-2397, December.
    2. Aruoba, S. Boragan & Fernandez-Villaverde, Jesus & Rubio-Ramirez, Juan F., 2006. "Comparing solution methods for dynamic equilibrium economies," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2477-2508, December.
    3. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    4. Leitemo, Kai & Söderström, Ulf, 2008. "Robust Monetary Policy In The New Keynesian Framework," Macroeconomic Dynamics, Cambridge University Press, vol. 12(S1), pages 126-135, April.
    5. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Econometrica, Econometric Society, vol. 79(1), pages 47-73, January.
    6. Fabio Maccheroni & Massimo Marinacci & Aldo Rustichini, 2006. "Ambiguity Aversion, Robustness, and the Variational Representation of Preferences," Econometrica, Econometric Society, vol. 74(6), pages 1447-1498, November.
    7. Hansen, Lars Peter & Sargent, Thomas J., 2012. "Three types of ambiguity," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 422-445.
    8. Michael Woodford, 2010. "Robustly Optimal Monetary Policy with Near-Rational Expectations," American Economic Review, American Economic Association, vol. 100(1), pages 274-303, March.
    9. Adam, Klaus & Woodford, Michael, 2012. "Robustly optimal monetary policy in a microfounded New Keynesian model," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 468-487.
    10. Ramon Marimon, 2011. "New Results in Recursive Contract Theory," 2011 Meeting Papers 752, Society for Economic Dynamics.
    11. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
    12. Li-Lin Ku & Chien-Pai Han, 2008. "Robust testing procedures of process locations," Quality & Quantity: International Journal of Methodology, Springer, vol. 42(5), pages 579-595, October.
    13. Anderson, Evan W. & Hansen, Lars Peter & Sargent, Thomas J., 2012. "Small noise methods for risk-sensitive/robust economies," Journal of Economic Dynamics and Control, Elsevier, vol. 36(4), pages 468-500.
    14. Albert Marcet & Ramon Marimon, 1994. "Recursive contracts," Economics Working Papers 337, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 1998.
    15. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, January.
    16. Hans, Erwin & Wullink, Gerhard & van Houdenhoven, Mark & Kazemier, Geert, 2008. "Robust surgery loading," European Journal of Operational Research, Elsevier, vol. 185(3), pages 1038-1050, March.
    17. Karantounias, Anastasios G., 2013. "Managing pessimistic expectations and fiscal policy," Theoretical Economics, Econometric Society, vol. 8(1), January.
    18. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
    19. Maccheroni, Fabio & Marinacci, Massimo & Rustichini, Aldo, 2006. "Dynamic variational preferences," Journal of Economic Theory, Elsevier, vol. 128(1), pages 4-44, May.
    20. Timothy Cogley & Riccardo Colacito & Lars Peter Hansen & Thomas J. Sargent, 2008. "Robustness and U.S. Monetary Policy Experimentation," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 40(8), pages 1599-1623, December.
    21. Walsh, Carl E, 2004. "Robustly Optimal Instrument Rules and Robust Control: An Equivalence Result," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 36(6), pages 1105-1113, December.
    22. Michael Woodford, 2000. "Pitfalls of Forward-Looking Monetary Policy," American Economic Review, American Economic Association, vol. 90(2), pages 100-104, May.
    23. Lars Peter Hansen & Thomas J. Sargent, 2008. "Time Inconsistency of Robust Control?," Chapters,in: Macroeconomics in the Small and the Large, chapter 7 Edward Elgar Publishing.
    24. Evan W. Anderson & Lars Peter Hansen & Thomas J. Sargent, 2003. "A Quartet of Semigroups for Model Specification, Robustness, Prices of Risk, and Model Detection," Journal of the European Economic Association, MIT Press, vol. 1(1), pages 68-123, March.
    25. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
    26. Jianjun Miao & Hyosung Kwon, 2013. "Woodford's Approach to Robust Policy Analysis in a Linear-Quadratic Framework," 2013 Meeting Papers 19, Society for Economic Dynamics.
    27. Sims, Christopher A, 2002. "Solving Linear Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 20(1-2), pages 1-20, October.
    28. Bidder, R.M. & Smith, M.E., 2012. "Robust animal spirits," Journal of Monetary Economics, Elsevier, vol. 59(8), pages 738-750.
    29. Olalla, Myriam García & Gómez, Alejandro Ruiz, 2011. "Robust control and central banking behaviour," Economic Modelling, Elsevier, vol. 28(3), pages 1265-1278, May.
    30. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(01), pages 111-144, February.
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    More about this item

    Keywords

    ambiguity; robustness; robust control; Ramsey policy; monetary policy;

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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