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Nonconvexities in Stochastic Control Models

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Author Info
Amman, Hans M
Kendrick, David A

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Abstract

Nonconvexities in the criterion function of adaptive control problems were first found about ten years ago with numerical methods. Recently they have been confirmed by B. Mizrach (1991) with analytical methods. He found that a source of the nonconvexity was the probing component of the cost-to-go. Mizrach's results have been extended in this paper. First, the probing function has been characterized and found to support the use of algorithms that exploit this character to find the global optimum. Secondly, a new source of nonconvexities has been found in the cautionary component of the cost-to-go. Copyright 1995 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Article provided by Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association in its journal International Economic Review.

Volume (Year): 36 (1995)
Issue (Month): 2 (May)
Pages: 455-75
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Handle: RePEc:ier:iecrev:v:36:y:1995:i:2:p:455-75

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  1. Hans M. Amman & David A. Kendrick, 2008. "Comparison of Policy Functions from the Optimal Learning and Adaptive Control Frameworks," Working Papers 08-19, Utrecht School of Economics. [Downloadable!]
  2. Volker Wieland, 1999. "Monetary policy, parameter uncertainty and optimal learning," Finance and Economics Discussion Series 1999-48, Board of Governors of the Federal Reserve System (U.S.). [Downloadable!]
    Other versions:
  3. Volker Wieland, 2003. "Monetary Policy and Uncertainty about the Natural Unemployment Rate," CFS Working Paper Series 2003/05, Center for Financial Studies. [Downloadable!]
    Other versions:
  4. David A. Kendrick & Hans M. Amman & Marco P. Tucci, 2008. "Learning About Learning in Dynamic Economic Models," Working Papers 08-20, Utrecht School of Economics. [Downloadable!]
  5. Marco Tucci, 2006. "Understanding the Difference Between Robust Control and Optimal Control in a Linear Discrete-Time System with Time-Varying Parameters," Computational Economics, Springer, vol. 27(4), pages 533-558, June. [Downloadable!] (restricted)
  6. Hans M. Amman & David A. Kendrick, 1997. "Should Macroeconomic Policy Makers Consider Parameter Covariances?," Economics, University of Texas at Austin 9701, Center for Applied Research in Economics. [Downloadable!]
    Other versions:
  7. repec:bep:macadv:v:6:y:2006:i:1:p:1288-1288 is not listed on IDEAS
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