IDEAS home Printed from https://ideas.repec.org/p/pra/mprapa/55612.html
   My bibliography  Save this paper

On automatic derivation of first order conditions in dynamic stochastic optimisation problems

Author

Listed:
  • Klima, Grzegorz
  • Retkiewicz-Wijtiwiak, Kaja

Abstract

This note presents an algorithm for deriving first order conditions applicable to the most common optimisation problems encountered in dynamic stochastic models automatically. Given a symbolic library or a computer algebra system one can efficiently derive first order conditions which can then be used for solving models numerically (steady state, linearisation).

Suggested Citation

  • Klima, Grzegorz & Retkiewicz-Wijtiwiak, Kaja, 2014. "On automatic derivation of first order conditions in dynamic stochastic optimisation problems," MPRA Paper 55612, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:55612
    as

    Download full text from publisher

    File URL: https://mpra.ub.uni-muenchen.de/55612/1/MPRA_paper_55612.pdf
    File Function: original version
    Download Restriction: no

    References listed on IDEAS

    as
    1. Lars Ljungqvist & Thomas J. Sargent, 2004. "Recursive Macroeconomic Theory, 2nd Edition," MIT Press Books, The MIT Press, edition 2, volume 1, number 026212274x, March.
    2. Adjemian, Stéphane & Bastani, Houtan & Juillard, Michel & Karamé, Fréderic & Maih, Junior & Mihoubi, Ferhat & Perendia, George & Pfeifer, Johannes & Ratto, Marco & Villemot, Sébastien, 2011. "Dynare: Reference Manual Version 4," Dynare Working Papers 1, CEPREMAP, revised Feb 2018.
    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


    Cited by:

    1. Klima, Grzegorz & Podemski, Karol & Retkiewicz-Wijtiwiak, Kaja & Sowińska, Anna E., 2015. "Smets-Wouters '03 model revisited - an implementation in gEcon," MPRA Paper 64440, University Library of Munich, Germany.
    2. repec:mbr:jmonec:v:11:y:2016:i:2:p:207-223 is not listed on IDEAS

    More about this item

    Keywords

    DSGE; stochastic optimisation; first order conditions; symbolic computations;

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • C68 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computable General Equilibrium Models

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:pra:mprapa:55612. 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: (Joachim Winter). General contact details of provider: http://edirc.repec.org/data/vfmunde.html .

    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 CitEc recognized a reference but did not link an item in RePEc 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 RePEc Author Service 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.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.