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Linear Quadratic Optimization for Models with Rational Expectations

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  • Hans M. Amman

    (University of Amsterdam)

  • David A. Kendrick

    (University of Texas, USA)

Abstract

In this paper we present a method for using rational expectations in a linear-quadratic optimizationframework. Following the approach put forward by Sims, we solve the model through a QZdecomposition, which is generally easier to implement than the more widely used method of Blanchardand Kahn.

Suggested Citation

  • Hans M. Amman & David A. Kendrick, 1997. "Linear Quadratic Optimization for Models with Rational Expectations," Tinbergen Institute Discussion Papers 97-102/2, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19970102
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    References listed on IDEAS

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    1. Amman, Hans M. & Kendrick, David A., 1998. "Computing the steady state of linear quadratic optimization models with rational expectations," Economics Letters, Elsevier, vol. 58(2), pages 185-191, February.
    2. Amman, Hans M. & Kendrick, David A. & Achath, Sudhakar, 1995. "Solving stochastic optimization models with learning and rational expectations," Economics Letters, Elsevier, vol. 48(1), pages 9-13, April.
    3. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    4. Hans M. Amman & David A. Kendrick, 1996. "The DUALI/DUALPC Software for Optimal Control Models: Introduction," CARE Working Papers 9602, The University of Texas at Austin, Center for Applied Research in Economics.
    5. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    6. Amman, Hans M. & Neudecker, Heinz, 1997. "Numerical solutions of the algebraic matrix Riccati equation," Journal of Economic Dynamics and Control, Elsevier, vol. 21(2-3), pages 363-369.
    7. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    8. H. M. Amman & D. A. Kendrick & J. Rust (ed.), 1996. "Handbook of Computational Economics," Handbook of Computational Economics, Elsevier, edition 1, volume 1, number 1.
    9. Fisher, P. G. & Holly, S. & Hughes Hallett, A. J., 1986. "Efficient solution techniques for dynamic non-linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 10(1-2), pages 139-145, June.
    10. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    11. Amman, Hans M., 1990. "Implementing stochastic control software on supercomputing machines," Journal of Economic Dynamics and Control, Elsevier, vol. 14(2), pages 265-279, May.
    12. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Citations

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    Cited by:

    1. D.A. Kendrick & H.M. Amman & M.P. Tucci, 2008. "Learning About Learning in Dynamic Economic Models," Working Papers 08-20, Utrecht School of Economics.
    2. Amman, Hans M. & Kendrick, David A., 2003. "Mitigation of the Lucas critique with stochastic control methods," Journal of Economic Dynamics and Control, Elsevier, vol. 27(11), pages 2035-2057.
    3. Amman, Hans M. & Kendrick, David A., 1998. "Computing the steady state of linear quadratic optimization models with rational expectations," Economics Letters, Elsevier, vol. 58(2), pages 185-191, February.
    4. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(1), pages 31-55, February.
    5. David Kendrick & George Shoukry, 2014. "Quarterly Fiscal Policy Experiments with a Multiplier-Accelerator Model," Computational Economics, Springer;Society for Computational Economics, vol. 44(3), pages 269-293, October.
    6. Francesco Carravetta & Marco Sorge, 2010. "A “Nearly Ideal” Solution to Linear Time-Varying Rational Expectations Models," Computational Economics, Springer;Society for Computational Economics, vol. 35(4), pages 331-353, April.
    7. H. M. Amman & D. A. Kendrick, 2000. "Stochastic Policy Design in a Learning Environment with Rational Expectations," Journal of Optimization Theory and Applications, Springer, vol. 105(3), pages 509-520, June.
    8. Mercado, Ruben & Kendrick, David, 1998. "Hall and Taylor´s and John Taylor´s Model in DUALI," MPRA Paper 111974, University Library of Munich, Germany.
    9. George Halkos & Kyriaki Tsilika, 2016. "Dynamic Input–Output Models in Environmental Problems: A Computational Approach with CAS Software," Computational Economics, Springer;Society for Computational Economics, vol. 47(3), pages 489-497, March.
    10. Amman, Hans M. & Kendrick, David A. & Tucci, Marco P., 2020. "Approximating The Value Function For Optimal Experimentation," Macroeconomic Dynamics, Cambridge University Press, vol. 24(5), pages 1073-1086, July.
    11. Ray Fair, 2001. "Optimal Control and Stochastic Simulation of Large Nonlinear Models with Rational Expectations," Yale School of Management Working Papers ysm202, Yale School of Management, revised 24 Sep 2001.
    12. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.
    13. Ray Fair, 2003. "Optimal Control and Stochastic Simulation of Large Nonlinear Models with Rational Expectations," Computational Economics, Springer;Society for Computational Economics, vol. 21(3), pages 245-256, June.
    14. Pedro Francisco Páez, 2005. "Are the Washington Consensus Policies Sustainable? Game Theoretical Assessment for the Case of Ecuador," Working Paper Series, Department of Economics, University of Utah 2005_07, University of Utah, Department of Economics.

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    More about this item

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination

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