IDEAS home Printed from https://ideas.repec.org/p/kud/kuiedp/1519.html
   My bibliography  Save this paper

Estimating Discrete-Continuous Choice Models: The Endogenous Grid Method with Taste Shocks

Author

Listed:
  • Fedor Iskhakov

    (ARC Centre of Excellence in Population Ageing Research, University New South Wales)

  • Thomas Høgholm Jørgensen

    (Department of Economics, University of Copenhagen)

  • John Rust

    (Department of Economics, Georgetown University)

  • Bertel Schjerning

    (Department of Economics, University of Copenhagen)

Abstract

We present a fast and accurate computational method for solving and estimating a class of dynamic programming models with discrete and continuous choice variables. The solution method we develop for structural estimation extends the endogenous gridpoint method (EGM) to discrete-continuous (DC) problems. Discrete choices can lead to kinks in the value functions and discontinuities in the optimal policy rules, greatly complicating the solution of the model. We show how these problems are ameliorated in the presence of additive choice-speci c IID extreme value taste shocks. We present Monte Carlo experiments that demonstrate the reliability and eciency of the DC-EGM and the associated Maximum Likelihood estimator for structural estimation of a life cycle model of consumption with discrete retirement decisions.

Suggested Citation

  • Fedor Iskhakov & Thomas Høgholm Jørgensen & John Rust & Bertel Schjerning, 2015. "Estimating Discrete-Continuous Choice Models: The Endogenous Grid Method with Taste Shocks," Discussion Papers 15-19, University of Copenhagen. Department of Economics.
  • Handle: RePEc:kud:kuiedp:1519
    as

    Download full text from publisher

    File URL: http://www.econ.ku.dk/english/research/publications/wp/dp_2015/1519.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Rust, John, 1987. "Optimal Replacement of GMC Bus Engines: An Empirical Model of Harold Zurcher," Econometrica, Econometric Society, vol. 55(5), pages 999-1033, September.
    2. Jérôme Adda & Christian Dustmann & Katrien Stevens, 2017. "The Career Costs of Children," Journal of Political Economy, University of Chicago Press, vol. 125(2), pages 293-337.
    3. Iskhakov, Fedor, 2015. "Multidimensional endogenous gridpoint method: Solving triangular dynamic stochastic optimization problems without root-finding operations," Economics Letters, Elsevier, vol. 135(C), pages 72-76.
    4. Giulio Fella, 2014. "A generalized endogenous grid method for non-smooth and non-concave problems," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(2), pages 329-344, April.
    5. Clausen, Andrew & Strub, Carlo, 2013. "A General and Intuitive Envelope Theorem," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-43, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    6. Andrew Clausen & Carlo Strub, 2012. "Envelope theorems for non-smooth and non-concave optimization," ECON - Working Papers 062, Department of Economics - University of Zurich.
    7. Jørgensen, Thomas H., 2013. "Structural estimation of continuous choice models: Evaluating the EGM and MPEC," Economics Letters, Elsevier, vol. 119(3), pages 287-290.
    8. Carroll, Christopher D., 2006. "The method of endogenous gridpoints for solving dynamic stochastic optimization problems," Economics Letters, Elsevier, vol. 91(3), pages 312-320, June.
    9. Hintermaier, Thomas & Koeniger, Winfried, 2010. "The method of endogenous gridpoints with occasionally binding constraints among endogenous variables," Journal of Economic Dynamics and Control, Elsevier, vol. 34(10), pages 2074-2088, October.
    10. Clausen, Andrew & Strub, Carlo, 2013. "A General and Intuitive Envelope Theorem," SIRE Discussion Papers 2015-43, Scottish Institute for Research in Economics (SIRE).
    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. Shoumitro Chatterjee & Tom S. Vogl, 2016. "Growth and Childbearing in the Short- and Long-Run," Working Papers sc_tv_growth_fertility.pd, Princeton University, Woodrow Wilson School of Public and International Affairs, Research Program in Development Studies..
    2. Richard Blundell & Monica Costa Dias & Costas Meghir & Jonathan Shaw, 2016. "Female Labor Supply, Human Capital, and Welfare Reform," Econometrica, Econometric Society, vol. 84, pages 1705-1753, September.
    3. Iskhakov, Fedor, 2015. "Multidimensional endogenous gridpoint method: Solving triangular dynamic stochastic optimization problems without root-finding operations," Economics Letters, Elsevier, vol. 135(C), pages 72-76.
    4. Shoumitro Chatterjee & Tom Vogl, 2016. "Growth and Childbearing in the Short- and Long-Run," NBER Working Papers 23000, National Bureau of Economic Research, Inc.
    5. Druedahl, Jeppe & Jørgensen, Thomas Høgholm, 2017. "A general endogenous grid method for multi-dimensional models with non-convexities and constraints," Journal of Economic Dynamics and Control, Elsevier, vol. 74(C), pages 87-107.
    6. repec:kap:compec:v:51:y:2018:i:3:d:10.1007_s10614-016-9611-2 is not listed on IDEAS

    More about this item

    Keywords

    Structural estimation; lifecycle model; discrete and continuous choice; retirement choice; endogenous gridpoint method; nested xed point algorithm; extreme value taste shocks; smoothed max function.;

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D91 - Microeconomics - - Micro-Based Behavioral Economics - - - Role and Effects of Psychological, Emotional, Social, and Cognitive Factors on Decision Making

    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:kud:kuiedp:1519. 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: (Thomas Hoffmann). General contact details of provider: http://edirc.repec.org/data/okokudk.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.