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Solution of linear-quadratic- Gaussian dynamic games using variational methods

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  • William Roberds

Abstract

Methods are presented for solving a certain class of rational expectations models, principally those that arise from dynamic games. The methods allow for numerical solution using spectral factorization algorithms and for estimation of these models using maximum likelihood techniques.

Suggested Citation

  • William Roberds, 1986. "Solution of linear-quadratic- Gaussian dynamic games using variational methods," Staff Report 105, Federal Reserve Bank of Minneapolis.
    • Handle: RePEc:fip:fedmsr:105
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    References listed on IDEAS

    as
    1. Buiter, Willem H, 1981. "The Superiority of Contingent Rules over Fixed Rules in Models with Rational Expectations," Economic Journal, Royal Economic Society, vol. 91(363), pages 647-670, September.
    2. Lars Peter Hansen & Thomas J. Sargent, 1980. "Linear rational expectations models for dynamically interrelated variables," Working Papers 135, Federal Reserve Bank of Minneapolis.
    3. Hillier, Brian & Malcomson, James M, 1984. "Dynamic Inconsistency, Rational Expectations, and Optimal Government Policy," Econometrica, Econometric Society, vol. 52(6), pages 1437-1451, November.
    4. Kydland, Finn, 1975. "Noncooperative and Dominant Player Solutions in Discrete Dynamic Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 16(2), pages 321-335, June.
    5. Roberds, William, 1987. "Models of Policy under Stochastic Replanning," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 28(3), pages 731-755, October.
    6. Hansen, Lars Peter & Sargent, Thomas J., 1980. "Formulating and estimating dynamic linear rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 2(1), pages 7-46, May.
    7. Levine, Paul & Currie, David, 1987. "The design of feedback rules in linear stochastic rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 11(1), pages 1-28, March.
    8. Kydland, Finn, 1977. "Equilibrium solutions in dynamic dominant-player models," Journal of Economic Theory, Elsevier, vol. 15(2), pages 307-324, August.
    9. Willem H. Buiter, 1983. "Optimal and Time-Consistent Polices in Continuous Time Rational Expectations Models," NBER Technical Working Papers 0029, National Bureau of Economic Research, Inc.
    10. Ates Dagli, C. & Taylor, John B., 1984. "Estimation and solution of linear rational expectations models using a polynomial matrix factorization," Journal of Economic Dynamics and Control, Elsevier, vol. 8(3), pages 341-348, December.
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    Keywords

    Game theory; Rational expectations (Economic theory);

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