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Small noise methods for risk-sensitive/robust economies

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  • Anderson, Evan W.
  • Hansen, Lars Peter
  • Sargent, Thomas J.

Abstract

We provide small noise expansions for the value function and decision rule for the recursive risk-sensitive preferences specified by Hansen and Sargent (1995), Hansen et al. (1999), and Tallarini (2000). We use the expansions (1) to provide a fast method for approximating solutions of dynamic stochastic problems and (2) to quantify the effects on decisions of uncertainty and concerns about robustness to misspecification.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:36:y:2012:i:4:p:468-500
    DOI: 10.1016/j.jedc.2011.11.007
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    2. Andreas Fagereng & Martin Blomhoff Holm & Benjamin Moll & Gisle Natvik, 2019. "Saving Behavior Across the Wealth Distribution: The Importance of Capital Gains," NBER Working Papers 26588, National Bureau of Economic Research, Inc.
    3. Anderson, Evan W. & Brock, William & Sanstad, Alan H., 2016. "Robust Consumption and Energy Decisions," 2017 Allied Social Sciences Association (ASSA) Annual Meeting, January 6-8, 2017, Chicago, Illinois 250117, Agricultural and Applied Economics Association.
    4. Kwon, Hyosung & Miao, Jianjun, 2017. "Three types of robust Ramsey problems in a linear-quadratic framework," Journal of Economic Dynamics and Control, Elsevier, vol. 76(C), pages 211-231.
    5. Cho, In-Koo & Kasa, Kenneth, 2014. "An escape time interpretation of robust control," Journal of Economic Dynamics and Control, Elsevier, vol. 42(C), pages 1-12.
    6. Nicole Bauerle & Anna Ja'skiewicz, 2015. "Stochastic Optimal Growth Model with Risk Sensitive Preferences," Papers 1509.05638, arXiv.org.
    7. Agliardi, Elettra & Xepapadeas, Anastasios, 2022. "Temperature targets, deep uncertainty and extreme events in the design of optimal climate policy," Journal of Economic Dynamics and Control, Elsevier, vol. 139(C).
    8. Kasa, Kenneth & Lei, Xiaowen, 2018. "Risk, uncertainty, and the dynamics of inequality," Journal of Monetary Economics, Elsevier, vol. 94(C), pages 60-78.
    9. Anmol Bhandari & David Evans & Mikhail Golosov & Thomas J. Sargent, 2021. "Inequality, Business Cycles, and Monetary‐Fiscal Policy," Econometrica, Econometric Society, vol. 89(6), pages 2559-2599, November.
    10. Brock, William & Xepapadeas, Anastasios, 2021. "Regional climate policy under deep uncertainty: robust control and distributional concerns," Environment and Development Economics, Cambridge University Press, vol. 26(3), pages 211-238, June.
    11. Balbus, Łukasz & Jaśkiewicz, Anna & Nowak, Andrzej S., 2015. "Stochastic bequest games," Games and Economic Behavior, Elsevier, vol. 90(C), pages 247-256.
    12. Ellison, Martin & Sargent, Thomas J., 2012. "Welfare cost of business cycles in economies with individual consumption risk," Bank of Finland Research Discussion Papers 25/2012, Bank of Finland.
    13. Ellison, Martin & Sargent, Thomas J., 2012. "Welfare cost of business cycles in economies with individual consumption risk," Research Discussion Papers 25/2012, Bank of Finland.
    14. William Brock & Anastasios Xepapadeas, 2020. "Spatial Environmental and Resource Economics," DEOS Working Papers 2002, Athens University of Economics and Business.
    15. Boyarchenko, Nina, 2012. "Ambiguity shifts and the 2007–2008 financial crisis," Journal of Monetary Economics, Elsevier, vol. 59(5), pages 493-507.
    16. Bäuerle, Nicole & Jaśkiewicz, Anna, 2018. "Stochastic optimal growth model with risk sensitive preferences," Journal of Economic Theory, Elsevier, vol. 173(C), pages 181-200.
    17. Jaśkiewicz, Anna & Nowak, Andrzej S., 2014. "Stationary Markov perfect equilibria in risk sensitive stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 151(C), pages 411-447.
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    19. Martin Ellison & Thomas J. Sargent, 2015. "Welfare Cost of Business Cycles with Idiosyncratic Consumption Risk and a Preference for Robustness," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(2), pages 40-57, April.
    20. Lee, Sang Seok & Luk, Paul, 2018. "The Asian Financial Crisis and international reserve accumulation: A robust control approach," Journal of Economic Dynamics and Control, Elsevier, vol. 90(C), pages 284-309.

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    More about this item

    Keywords

    Computational economics; Recursive utility; Perturbation methods; Stochastic growth model;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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