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Three Types of Ambiguity

  • Lars Peter Hansen


    (The University of Chicago)

  • Thomas J. Sargent

    (New York University)

For each of three types of ambiguity, we compute a robust Ramsey plan and an associated worst-case probability model. Ex post, ambiguity of type I implies endogenously distorted homogeneous beliefs, while ambiguities of types II and III imply distorted heterogeneous beliefs. Martingales characterize alternative probability specifications and clarify distinctions among the three types of ambiguity. We use recursive formulations of Ramsey problems to impose local predictability of commitment multipliers directly. To reduce the dimension of the state in a recursive formulation, we transform the commitment multiplier to accommodate the heterogeneous beliefs that arise with ambiguity of types II and III. Our formulations facilitate comparisons of the consequences of these alternative types of ambiguity.

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Paper provided by Becker Friedman Institute for Research In Economics in its series Working Papers with number 2012-006.

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Date of creation: 2012
Date of revision:
Handle: RePEc:bfi:wpaper:2012-006
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  1. Giordani, Paolo & Söderlind, Paul, 2002. "Solution of Macromodels with Hansen-Sargent Robust Policies: Some Extensions," SSE/EFI Working Paper Series in Economics and Finance 499, Stockholm School of Economics, revised 15 May 2003.
  2. Albert Marcet & Ramon Marimon, 2011. "Recursive Contracts," CEP Discussion Papers dp1055, Centre for Economic Performance, LSE.
  3. Leitemo, Kai & Söderström , Ulf, 2004. "Robust monetary policy in the New-Keynesian framework," Research Discussion Papers 31/2004, Bank of Finland.
  4. Jaroslav BoroviÄka & Lars Peter Hansen, 2011. "Examining Macroeconomic Models Through the Lens of Asset Pricing," Working Papers 2011-012, Becker Friedman Institute for Research In Economics.
  5. Woodford, Michael, 2005. "Robustly optimal monetary policy with near-rational expectations," CFS Working Paper Series 2007/12, Center for Financial Studies (CFS).
  6. Thomas J. Sargent & Riccardo Colacito & Lars P. Hansen & Timothy Cogley, 2008. "Robustness and US Monetary," 2008 Meeting Papers 228, Society for Economic Dynamics.
  7. Gilboa, Itzhak & Schmeidler, David, 1989. "Maxmin expected utility with non-unique prior," Journal of Mathematical Economics, Elsevier, vol. 18(2), pages 141-153, April.
  8. 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, 03.
  9. Olalla, Myriam García & Gómez, Alejandro Ruiz, 2011. "Robust control and central banking behaviour," Economic Modelling, Elsevier, vol. 28(3), pages 1265-1278, May.
  10. Dumas, Bernard & Uppal, Raman & Wang, Tan, 2000. "Efficient Intertemporal Allocations with Recursive Utility," Journal of Economic Theory, Elsevier, vol. 93(2), pages 240-259, August.
  11. Pierpaolo Battigalli & Simone Cerreia-Vioglio & Fabio Maccheroni & Massimo Marinacci, 2011. "Selfconfirming Equilibrium and Uncertainty," Working Papers 428, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  12. Karantounias, Anastasios G., 2013. "Managing pessimistic expectations and fiscal policy," Theoretical Economics, Econometric Society, vol. 8(1), January.
  13. Anderson, Evan W., 2005. "The dynamics of risk-sensitive allocations," Journal of Economic Theory, Elsevier, vol. 125(2), pages 93-150, December.
  14. Thomas J. Sargent & LarsPeter Hansen, 2001. "Robust Control and Model Uncertainty," American Economic Review, American Economic Association, vol. 91(2), pages 60-66, May.
  15. 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 1105-13, December.
  16. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, June.
  17. Hansen, Lars Peter & Sargent, Thomas J., 2007. "Recursive robust estimation and control without commitment," Journal of Economic Theory, Elsevier, vol. 136(1), pages 1-27, September.
  18. Hansen, Lars Peter & Sargent, Thomas J. & Turmuhambetova, Gauhar & Williams, Noah, 2006. "Robust control and model misspecification," Journal of Economic Theory, Elsevier, vol. 128(1), pages 45-90, May.
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