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Recursive linear models of dynamic economies

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  • Lars Peter Hansen
  • Thomas J. Sargent

Abstract

This paper describes a class of dynamic stochastic linear quadratic equilibrium models. A model is specified by naming lists of matrices that determine preferences, technology, and the information structure. Aggregate equilibrium allocations and prices are computed by solving a social planning problem in the form of an optimal linear regulator. Heterogeneity among agents is permitted. Several examples are computed.
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Suggested Citation

  • Lars Peter Hansen & Thomas J. Sargent, 1993. "Recursive linear models of dynamic economies," Proceedings, Federal Reserve Bank of San Francisco, issue Mar.
  • Handle: RePEc:fip:fedfpr:y:1993:i:mar:x:8
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    References listed on IDEAS

    as
    1. Lucas, Robert E, Jr & Prescott, Edward C, 1971. "Investment Under Uncertainty," Econometrica, Econometric Society, vol. 39(5), pages 659-681, September.
    2. Sargent, Thomas J, 1981. "Interpreting Economic Time Series," Journal of Political Economy, University of Chicago Press, vol. 89(2), pages 213-248, April.
    3. Lars Peter Hansen & Thomas J. Sargent, 1980. "Linear rational expectations models for dynamically interrelated variables," Working Papers 135, Federal Reserve Bank of Minneapolis.
    4. Hansen, Gary D. & Sargent, Thomas J., 1988. "Straight time and overtime in equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 281-308.
    5. William A. Brock, 1982. "Asset Prices in a Production Economy," NBER Chapters, in: The Economics of Information and Uncertainty, pages 1-46, National Bureau of Economic Research, Inc.
    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. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-1370, November.
    8. Edward C. Prescott & Rajnish Mehra, 2005. "Recursive Competitive Equilibrium: The Case Of Homogeneous Households," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 11, pages 357-371, World Scientific Publishing Co. Pte. Ltd..
    9. William A. Brock & Leonard J. Mirman, 2001. "Optimal Economic Growth And Uncertainty: The Discounted Case," Chapters, in: W. D. Dechert (ed.), Growth Theory, Nonlinear Dynamics and Economic Modelling, chapter 1, pages 3-37, Edward Elgar Publishing.
    10. 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.
    11. Sargent, Thomas J & Wallace, Neil, 1973. "Rational Expectations and the Dynamics of Hyperinflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 328-350, June.
    12. Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-384, March.
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