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Duali: Software for Solving Stochastic Control Problems in Economics

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Computational Methods in Financial Engineering

Abstract

Currently there is a renewed interest in the use of optimal experimentation (adaptive control) in economics. The Methods Comparison Project deals with comparing various methods for solving optimal experimentation economic models. In this context, the Beck and Wieland model and the methodology to solve this model with time-varying parameters using adaptive control is introduced. Numerical results for this model using the DualPC software are also presented.

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References

  • Amman, H.M. and Kendrick, D.A.: 1990, A user’s guide for DUAL: A program for quadratic-linear stochastic control problems, Technical Report T90-4, Center for Economic Research, University of Texas, Austin, Texas 78712, USA.

    Google Scholar 

  • Amman, H.M. and Kendrick, D.A.: 1999a, The Duali/Dualpc software for optimal control models: User’s guide, Working paper, Center for Applied Research in Economics, University of Texas, Austin, Texas 78712, USA.

    Google Scholar 

  • Amman, H.M. and Kendrick, D.A.: 1999b, Should macroeconomic policy makers consider parameter covariances, Computational Economics 14, 263–267.

    Article  Google Scholar 

  • Amman, H.M. and Kendrick, D. A.: 2000, Stochastic policy design in a learning environment with rational expectations, Journal of Optimization Theory and its Applications 105, 509–520.

    Article  Google Scholar 

  • Amman, H.M., Kendrick, D.A. and Tucci, M.P.: 2007, Solving the Beck and Wieland model with optimal experimentation in DU ALPC, Working paper, Department of Economics, University of Texas, Austin, Texas 78712, USA.

    Google Scholar 

  • Beck, G. and Wieland, V.: 2002, Learning and control in a changing economic environment, Journal of Economic Dynamics and Control 26, 1359–1378.

    Article  Google Scholar 

  • Coenen, G. and Wieland, V.: 2001, Evaluating information variables for monetary policy in a noisy economic environment. European Central Bank, presented at the Seventh International Confernce of the Society for Computational Economics Conference, Yale University, New Haven, USA.

    Google Scholar 

  • Cosimano, T.F.: 2003, Optimal experimentation and the perturbation method in the neightborhood of the augmented linear regulator, Working paper, Department of Finance, University of Notre Dame, Notre Dame, Indiana, USA.

    Google Scholar 

  • Cosimano, T.F. and Gapen, M.T.: 2005a, Program notes for optimal experimentation and the perturbation method in the neighborhood of the augumented linear regulator problem, Working paper, Department of Finance, University of Notre Dame, Notre Dame, Indiana, USA.

    Google Scholar 

  • Cosimano, T.F. and Gapen, M.T.: 2005b, Recursive methods of dynamic linear economics and optimal experimentation using the perturbation method, Working paper, Department of Finance, University of Notre Dame, Notre Dame, Indiana, USA.

    Google Scholar 

  • Cosimano, T.F. and Gapen, M.T.: 2006, An algorithm for approximating optimal experimentation problems using the perturbation method, Working paper, Department of Finance, University of Notre Dame, Notre Dame, Indiana, USA.

    Google Scholar 

  • Gilli, M. and Winker, P.: 2003, A global optimization heuristic for estimating agent based models, Computational Statistics and Data Analysis 42, 299–312.

    Article  Google Scholar 

  • Hansen, L.P. and Sargent, T.J.: 2004, Recursive models of dyanmic linear economies. Department of Economics, Univesity of Chicago manuscript.

    Google Scholar 

  • Kendrick, D.A.: 1981, Stochastic control for economic models, 1st edn, McGraw-Hill Book Company, New York, New York, USA.

    Google Scholar 

  • Kendrick, D.A.: 2002, Stochastic control for economic models. 2nd edn available at http://www.eco.utexas.edu-/faculty/Kendrick.

    Google Scholar 

  • Kendrick, D.A.: 2006, The Beck and Wieland model in the adaptive control framework, Working paper, Department of Economics, University of Texas, Austin, Texas 78712, USA.

    Google Scholar 

  • Kendrick, D.A. and Amman, H.M.: 2006, A classification system for economic stochastic control models, Computational Economics 27, 453–481.

    Article  Google Scholar 

  • Kiefer, N.: 1989, A value function arising in the economics of information, Journal of Economic Dynamics and Control 13, 201–223.

    Article  Google Scholar 

  • MacRae, E.C.: 1972, Linear decision with experimentation, Annals of Economic and Social Measurement 1, 437–448.

    Google Scholar 

  • MacRae, E.C.: 1975, An adaptive learning role for multiperiod decision problems, Econometrica 43, 893–906.

    Article  Google Scholar 

  • Prescott, E.C.: 1972, The multi-period control problem under uncertainty, Econometrica 40, 1043–1058.

    Article  Google Scholar 

  • Taylor, J.B.: 1974, Asymptotic properties of multiperiod control rules in the linear regression model, International Economic Review 15, 472–482.

    Article  Google Scholar 

  • Tse, E. and Bar-Shalom, Y.: 1973, An actively adaptive control for linear systems with random parameters, IEEE Transaction on Automatic Control 18, 109–117.

    Article  Google Scholar 

  • Tucci, M.P.: 2004, The Rational Expectation Hypothesis, Time-varying Parameters and Adaptive Control, Springer, Dordrecht, the Netherlands.

    Google Scholar 

  • Wieland, V.: 2000a, Learning by doing and the value of optimal experimentation, Journal of Economic Dynamics and Control 24, 501–543.

    Article  Google Scholar 

  • Wieland, V.: 2000b, Monetary policy, parameter uncertainty and optimal learning, Journal of Monetary Economics 46, 199–228.

    Article  Google Scholar 

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Kendrick, D.A., Tucci, M.P., Amman, H.M. (2008). Duali: Software for Solving Stochastic Control Problems in Economics. In: Kontoghiorghes, E.J., Rustem, B., Winker, P. (eds) Computational Methods in Financial Engineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-77958-2_18

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