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A generalized endogenous grid method for non-smooth and non-concave problems


  • Giulio Fella

    (Queen Mary University of London)


This paper extends Carroll's (2006) endogenous grid method and its combination with value function iteration by Barillas and Fernandez-Villaverde (2007) to a class of dynamic programming problems, such as problems with both discrete and continuous choices, in which the value function is non-smooth and non-concave. The method is illustrated using a consumer problem in which the consumer chooses both durable and non-durable consumption subject to a borrowing constraint. The durable choice is discrete and subject to non-convex adjustment costs. The algorithm yields substantial gains in accuracy and computational time relative to value function iteration, the standard solution choice for problems in which the value function is non-smooth or non-concave. (Copyright: Elsevier)

Suggested Citation

  • 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.
  • Handle: RePEc:red:issued:11-275
    DOI: 10.1016/

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    References listed on IDEAS

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    Cited by:

    1. 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.
    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. Alexander Ludwig & Matthias Schön, 2013. "Endogenous Grids in Higher Dimensions: Delaunay Interpolation and Hybrid Methods," Working Paper Series in Economics 65, University of Cologne, Department of Economics, revised 11 Jun 2014.
    4. Cozzi, Marco & Fella, Giulio, 2016. "Job displacement risk and severance pay," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 166-181.
    5. John Ameriks & Joseph Briggs & Andrew Caplin & Matthew D. Shapiro & Christopher Tonetti, 2016. "Late-in-Life Risks and the Under-Insurance Puzzle," NBER Working Papers 22726, National Bureau of Economic Research, Inc.
    6. White, Matthew N., 2015. "The method of endogenous gridpoints in theory and practice," Journal of Economic Dynamics and Control, Elsevier, vol. 60(C), pages 26-41.
    7. Boris Chafwehé, 2017. "Durable Goods Markets in Heterogenous Agents Economies," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 2017021, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES).
    8. 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.
    9. Arellano, Cristina & Maliar, Lilia & Maliar, Serguei & Tsyrennikov, Viktor, 2016. "Envelope condition method with an application to default risk models," Journal of Economic Dynamics and Control, Elsevier, vol. 69(C), pages 436-459.
    10. Robert Kirkby, 2017. "Convergence of Discretized Value Function Iteration," Computational Economics, Springer;Society for Computational Economics, vol. 49(1), pages 117-153, January.
    11. Ayse Kabukcuoglu & Enrique Martínez-García, 2016. "The Market Resources Method for Solving Dynamic Optimization Problems," Koç University-TUSIAD Economic Research Forum Working Papers 1607, Koc University-TUSIAD Economic Research Forum.
    12. Joachim Hubmer, 2018. "The Job Ladder and its Implications for Earnings Risk," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 29, pages 172-194, July.
    13. Youngsoo Jang, 2016. "Income Inequality, Medical Conditions, and Household Bankruptcy," Proceedings of Economics and Finance Conferences 4206835, International Institute of Social and Economic Sciences.
    14. 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.
    15. Lilia Maliar & Serguei Maliar, 2016. "Ruling Out Multiplicity of Smooth Equilibria in Dynamic Games: A Hyperbolic Discounting Example," Dynamic Games and Applications, Springer, vol. 6(2), pages 243-261, June.
    16. Christoph Görtz & Afrasiab Mirza, 2014. "On the Applicability of Global Approximation Methods for Models with Jump Discontinuities in Policy Functions," CESifo Working Paper Series 4837, CESifo Group Munich.
    17. John Ameriks & Joseph S. Briggs & Andrew Caplin & Matthew D. Shapiro & Christopher Tonetti, 2015. "Long-Term-Care Utility and Late-in-Life Saving," NBER Working Papers 20973, National Bureau of Economic Research, Inc.
    18. Julian Kozlowski & Diego Daruich, 2016. "Explaining Income Inequality and Intergenerational Mobility: The Role of Fertility and Family Transfers," 2016 Meeting Papers 665, Society for Economic Dynamics.

    More about this item


    Endogenous grid method; Non-concavity;

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques


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