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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., 1998. "Computing the steady state of linear quadratic optimization models with rational expectations," Economics Letters, Elsevier, vol. 58(2), pages 185-191, February.
    3. 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.
    4. 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.
    5. Mercado, Ruben & Kendrick, David, 1998. "Hall and Taylor´s and John Taylor´s Model in DUALI," MPRA Paper 111974, University Library of Munich, Germany.
    6. 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(11-12), pages 2035-2057, September.
    7. 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.
    8. 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.
    9. 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.
    10. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, vol. 11(1), pages 31-55, February.
    11. 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.
    12. 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.
    13. 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.
    14. 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.

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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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