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Linear-Quadratic Optimization For Models With Rational Expectations

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  • Amman, Hans
  • Kendrick, David

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.
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Suggested Citation

  • Amman, Hans & Kendrick, David, 1999. "Linear-Quadratic Optimization For Models With Rational Expectations," Macroeconomic Dynamics, Cambridge University Press, vol. 3(04), pages 534-543, December.
  • Handle: RePEc:cup:macdyn:v:3:y:1999:i:04:p:534-543_01
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    References listed on IDEAS

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    1. 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.
    2. Amman, Hans M. & Kendrick, David A., 1998. "Computing the steady state of linear quadratic optimization models with rational expectations," Economics Letters, Elsevier, pages 185-191.
    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. 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.
    6. 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.
    7. 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.
    8. Anderson, Gary & Moore, George, 1985. "A linear algebraic procedure for solving linear perfect foresight models," Economics Letters, Elsevier, vol. 17(3), pages 247-252.
    9. 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.
    10. Hans M. Amman & David A. Kendrick, . "Computational Economics," Online economics textbooks, SUNY-Oswego, Department of Economics, number comp1.
    11. 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. Amman, Hans M. & Kendrick, David A., 1998. "Computing the steady state of linear quadratic optimization models with rational expectations," Economics Letters, Elsevier, pages 185-191.
    2. 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.
    3. 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.
    4. Mark E. Doms & Wendy F. Dunn & Stephen D. Oliner & Daniel E. Sichel, 2004. "How Fast do Personal Computers Depreciate? Concepts and New Estimates," NBER Chapters,in: Tax Policy and the Economy, Volume 18, pages 37-80 National Bureau of Economic Research, Inc.
    5. 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.
    6. David Kendrick & George Shoukry, 2013. "Quarterly Fiscal Policy Experiments with a Multiplier-Accelerator Model," Department of Economics Working Papers 130208, The University of Texas at Austin, Department of Economics.
    7. Amman, Hans M. & Kendrick, David A., 2003. "Mitigation of the Lucas critique with stochastic control methods," Journal of Economic Dynamics and Control, Elsevier, pages 2035-2057.
    8. 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.
    9. Dennis, Richard, 2007. "Optimal Policy In Rational Expectations Models: New Solution Algorithms," Macroeconomic Dynamics, Cambridge University Press, pages 31-55.
    10. 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.

    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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