Advanced Search
MyIDEAS: Login

Time-consistent control in nonlinear models

Contents:

Author Info

  • Ambler, Steve
  • Pelgrin, Florian
Registered author(s):

    Abstract

    The paper shows how to use optimal control to compute optimal time-consistent Markovian government policies in nonlinear dynamic general equilibrium models. It extends Cohen and Michel's (1988) results for the linear-quadratic case. The method involves replacing private agents' costate variables with flexible functions of current state variables in the government's maximization problem. The functions hold in equilibrium to an arbitrarily close approximation. They can be found numerically by perturbation or projection methods. A stochastic model of optimal public spending illustrates the technique.

    Download Info

    If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
    File URL: http://www.sciencedirect.com/science/article/B6V85-50T41D0-2/2/af876413712e2ec352e097968a9c9629
    Download Restriction: Full text for ScienceDirect subscribers only

    As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

    Bibliographic Info

    Article provided by Elsevier in its journal Journal of Economic Dynamics and Control.

    Volume (Year): 34 (2010)
    Issue (Month): 10 (October)
    Pages: 2215-2228

    as in new window
    Handle: RePEc:eee:dyncon:v:34:y:2010:i:10:p:2215-2228

    Contact details of provider:
    Web page: http://www.elsevier.com/locate/jedc

    Related research

    Keywords: Optimal government policy Time consistency Control theory;

    References

    References listed on IDEAS
    Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
    as in new window
    1. Krusell, Per & Smith Jr., Anthony A, 2001. "Consumption-Savings Decisions with Quasi-Geometric Discounting," CEPR Discussion Papers 2651, C.E.P.R. Discussion Papers.
    2. Paul Klein & Per Krusell & José-V�ctor R�os-Rull, 2008. "Time-Consistent Public Policy," Review of Economic Studies, Oxford University Press, vol. 75(3), pages 789-808.
    3. Lawrence J. Christiano & Jonas D. M. Fisher, 1994. "Algorithms for solving dynamic models with occasionally binding constraints," Staff Report 171, Federal Reserve Bank of Minneapolis.
    4. V.V. Chari & Patrick J. Kehoe, 1989. "Sustainable plans and mutual default," Staff Report 124, Federal Reserve Bank of Minneapolis.
    5. Judd, Kenneth L. & Guu, Sy-Ming, 1997. "Asymptotic methods for aggregate growth models," Journal of Economic Dynamics and Control, Elsevier, vol. 21(6), pages 1025-1042, June.
    6. Söderlind, Paul, 1998. "Solution and Estimation of RE Macromodels with Optimal Policy," Working Paper Series in Economics and Finance 256, Stockholm School of Economics.
    7. Currie,David & Levine,Paul, 2009. "Rules, Reputation and Macroeconomic Policy Coordination," Cambridge Books, Cambridge University Press, number 9780521104609, October.
    8. Tatiana Kirsanova & Andrew P. Blake, 2010. "Discretionary Policy and Multiple Equilibria in LQ RE Models," 2010 Meeting Papers 789, Society for Economic Dynamics.
    9. Debortoli, Davide & Nunes, Ricardo, 2006. "On Linear Quadratic Approximations," MPRA Paper 544, University Library of Munich, Germany, revised Jul 2006.
    10. Kim, Jinill & Kim, Sunghyun Henry, 2003. "Spurious welfare reversals in international business cycle models," Journal of International Economics, Elsevier, vol. 60(2), pages 471-500, August.
    11. Wouter J. den Haan & Albert Marcet, 1993. "Accuracy in simulations," Economics Working Papers 42, Department of Economics and Business, Universitat Pompeu Fabra.
    12. S. Boragan Aruoba & Jesus Fernandez-Villaverde & Juan F. Rubio-Ramirez, 2003. "Comparing Solution Methods for Dynamic Equilibrium Economies," PIER Working Paper Archive 04-003, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    13. Bernheim, B. Douglas & Ray, Debraj, 1989. "Markov perfect equilibria in altruistic growth economies with production uncertainty," Journal of Economic Theory, Elsevier, vol. 47(1), pages 195-202, February.
    14. V. V. Chari & Patrick J. Kehoe, 1998. "Optimal fiscal and monetary policy," Staff Report 251, Federal Reserve Bank of Minneapolis.
    15. V. V. Chari & Patrick J Kehoe, 1998. "Sustainable Plans," Levine's Working Paper Archive 600, David K. Levine.
    16. Benhabib, Jess & Rustichini, Aldo, 1997. "Optimal Taxes without Commitment," Journal of Economic Theory, Elsevier, vol. 77(2), pages 231-259, December.
    17. den Haan, Wouter J & Marcet, Albert, 1990. "Solving the Stochastic Growth Model by Parameterizing Expectations," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 31-34, January.
    18. Gilles Oudiz & Jeffrey Sachs, 1985. "International Policy Coordination In Dynamic Macroeconomic Models," NBER Chapters, in: International Economic Policy Coordination, pages 274-330 National Bureau of Economic Research, Inc.
    19. Benhabib, Jess & Velasco, Andres, 1996. "On the optimal and best sustainable taxes in an open economy," European Economic Review, Elsevier, vol. 40(1), pages 135-154, January.
    20. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    21. Ambler, Steve & Paquet, Alain, 1996. "Fiscal spending shocks, endogenous government spending, and real business cycles," Journal of Economic Dynamics and Control, Elsevier, vol. 20(1-3), pages 237-256.
    22. Salvador Ortigueira, 2006. "Markov-Perfect Optimal Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 153-178, January.
    23. Ambler, Steve & Paquet, Alain, 1997. "Recursive methods for computing equilibria of general equilibrium dynamic Stackelberg games," Economic Modelling, Elsevier, vol. 14(2), pages 155-173, April.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as in new window

    Cited by:
    1. Richard Dennis, 2013. "Asset Prices, Business Cycles, and Markov-Perfect Fiscal Policy when Agents are Risk-Sensitive," CAMA Working Papers 2013-69, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    2. Mário Amorim Lopes & Fernando A. C. C. Fontes & Dalila A. C. C. Fontes, 2013. "Optimal Control of Infinite-Horizon Growth Models — A direct approach," FEP Working Papers 506, Universidade do Porto, Faculdade de Economia do Porto.
    3. Alfonso Novales & Rafaela Pérez & Jesús Rúiz, 2013. "Optimal time-consistent fiscal policy in an endogenous growth economy with public consumption and capital," Documentos del Instituto Complutense de Análisis Económico 2013-23, Universidad Complutense de Madrid, Facultad de Ciencias Económicas y Empresariales.

    Lists

    This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

    Statistics

    Access and download statistics

    Corrections

    When requesting a correction, please mention this item's handle: RePEc:eee:dyncon:v:34:y:2010:i:10:p:2215-2228. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Zhang, Lei).

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If references are entirely missing, you can add them using this form.

    If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.