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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
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    References listed on IDEAS

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    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.
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    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. Christopher D. Carroll & Wendy E. Dunn, 1997. "Unemployment Expectations, Jumping (S,s) Triggers, and Household Balance Sheets," NBER Chapters, in: NBER Macroeconomics Annual 1997, Volume 12, pages 165-230, National Bureau of Economic Research, Inc.
    9. 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.
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    12. 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.
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    Full references (including those not matched with items on IDEAS)

    Citations

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    Cited by:

    1. Shoumitro Chatterjee & Tom Vogl, 2016. "Growth and Childbearing in the Short- and Long-Run," NBER Working Papers 23000, National Bureau of Economic Research, Inc.
    2. Mette Ejrnæs & Thomas H. Jørgensen, 2020. "Family planning in a life‐cycle model with income risk," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 35(5), pages 567-586, August.
    3. 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.
    4. 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.
    5. Alexander Ludwig & Matthias Schön, 2018. "Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods," Computational Economics, Springer;Society for Computational Economics, vol. 51(3), pages 463-492, March.
    6. 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.
    7. Druedahl, Jeppe & Martinello, Alessandro, 2016. "Long-Run Saving Dynamics: Evidence from Unexpected Inheritances," Working Papers 2016:7, Lund University, Department of Economics, revised 08 May 2018.

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    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.;
    All these keywords.

    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

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