Recursive robust estimation and control without commitment
AbstractIn a Markov decision problem with hidden state variables, a posterior distribution serves as a state variable and Bayes' law under an approximating model gives its law of motion. A decision maker expresses fear that his model is misspecified by surrounding it with a set of alternatives that are nearby when measured by their expected log likelihood ratios (entropies). Martingales represent alternative models. A decision maker constructs a sequence of robust decision rules by pretending that a sequence of minimizing players choose increments to a martingale and distortions to the prior over the hidden state. A risk sensitivity operator induces robustness to perturbations of the approximating model conditioned on the hidden state. Another risk sensitivity operator induces robustness to the prior distribution over the hidden state. We use these operators to extend the approach of Hansen and Sargent (1995) to problems that contain hidden states. The worst case martingale is overdetermined, expressing an intertemporal inconsistency of worst case beliefs about the hidden state, but not about observables. --
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 136 (2007)
Issue (Month): 1 (September)
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Web page: http://www.elsevier.com/locate/inca/622869
Other versions of this item:
- Hansen, Lars Peter & Sargent, Thomas J., 2005. "Recursive robust estimation and control without commitment," Discussion Paper Series 1: Economic Studies 2005,28, Deutsche Bundesbank, Research Centre.
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- Fecht, Falko & Huang, Kevin & Martin, Antoine, 2005.
"Financial intermediaries, markets and growth,"
Discussion Paper Series 1: Economic Studies
2005,03, Deutsche Bundesbank, Research Centre.
- Falko Fecht & Kevin Huang, 2004. "Financial intermediaries, markets, and growth," Econometric Society 2004 North American Summer Meetings 419, Econometric Society.
- Falko Fecht & Kevin X. D. Huang & Antoine Martin, 2004. "Financial intermediaries, markets, and growth," Working Papers 04-24, Federal Reserve Bank of Philadelphia.
- Falko Fecht & Kevin X.D. Huang & Antoine Martin, 2007. "Financial Intermediaries, Markets, and Growth," Vanderbilt University Department of Economics Working Papers 0714, Vanderbilt University Department of Economics.
- Falko Fecht & Kevin Huang & Antoine Martin, 2004. "Financial intermediaries, markets, and growth," Research Working Paper RWP 04-02, Federal Reserve Bank of Kansas City.
- Campbell, John Y. & Hilscher, Jens & Szilagyi, Jan, 2005.
"In search of distress risk,"
Discussion Paper Series 1: Economic Studies
2005,27, Deutsche Bundesbank, Research Centre.
- John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2005. "In Searach of Distress Risk," Harvard Institute of Economic Research Working Papers 2081, Harvard - Institute of Economic Research.
- Szilagyi, Jan & Hilscher, Jens & Campbell, John, 2008. "In Search of Distress Risk," Scholarly Articles 3199070, Harvard University Department of Economics.
- John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2006. "In Search of Distress Risk," NBER Working Papers 12362, National Bureau of Economic Research, Inc.
- Koetter, M. & Bos, J.W.B. & Heid, F. & Kolari, J.W. & Kool, C.J.M. & Porath, D., 2007.
"Accounting for distress in bank mergers,"
Journal of Banking & Finance,
Elsevier, vol. 31(10), pages 3200-3217, October.
- Koetter, Michael & Bos, Jaap W. B. & Heid, Frank & Kool, Clemens J. M. & Kolari, James W. & Porath, Daniel, 2005. "Accounting for distress in bank mergers," Discussion Paper Series 2: Banking and Financial Studies 2005,09, Deutsche Bundesbank, Research Centre.
- Jovanovic, Boyan, 1982. "Selection and the Evolution of Industry," Econometrica, Econometric Society, vol. 50(3), pages 649-70, May.
- Hamerle, Alfred & Liebig, Thilo & Scheule, Harald, 2004. "Forecasting Credit Portfolio Risk," Discussion Paper Series 2: Banking and Financial Studies 2004,01, Deutsche Bundesbank, Research Centre.
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