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An Escape Time Interpretation of Robust Control

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Abstract

This paper studies the problem of an agent who wants to prevent the state from exceeding a critical threshold. Even though the agent is presumed to know the model, the optimal policy is computed by solving a conventional robust control problem. That is, robustness is induced here by objectives rather than uncertainty, and so is an example of the duality between risk-sensitivity and robustness. However, here the agent only incurs costs upon escape to a critical region, not during ‘normal times’. We argue this is often a more realistic model of macroeconomic policymaking.

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File URL: http://www.sfu.ca/econ-research/RePEc/sfu/sfudps/dp13-07.pdf
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Bibliographic Info

Paper provided by Department of Economics, Simon Fraser University in its series Discussion Papers with number dp13-07.

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Length: 13
Date of creation: May 2013
Date of revision:
Handle: RePEc:sfu:sfudps:dp13-07

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Postal: Department of Economics, Simon Fraser University, 8888 University Drive, Burnaby, BC, V5A 1S6, Canada
Phone: (778)782-3508
Fax: (778)782-5944
Web page: http://www.sfu.ca/economics.html
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Postal: Working Paper Coordinator, Department of Economics, Simon Fraser University, 8888 University Drive, Burnaby, BC, V5A 1S6, Canada
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Web: http://www.sfu.ca/economics/research/publications.html

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Keywords: robust control; large deviations;

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  1. Tomasz Strzalecki, 2011. "Axiomatic Foundations of Multiplier Preferences," Levine's Working Paper Archive 786969000000000126, David K. Levine.
  2. Jianjun Miao & Neng Wang, 2007. "Risk, Uncertainty, and Option Exercise," Boston University - Department of Economics - Working Papers Series WP2007-016, Boston University - Department of Economics.
  3. Dmitri Kolyuzhnov & Anna Bogomolova & Sergey Slobodyan, 2006. "Escape Dynamics: A Continuous—Time Approximation," CERGE-EI Working Papers wp285, The Center for Economic Research and Graduate Education - Economic Institute, Prague.
  4. Pascal J. Maenhout, 2004. "Robust Portfolio Rules and Asset Pricing," Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 951-983.
  5. Dutta, Prajit K & Radner, Roy, 1999. "Profit Maximization and the Market Selection Hypothesis," Review of Economic Studies, Wiley Blackwell, vol. 66(4), pages 769-98, October.
  6. 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.
  7. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
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