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Multidimensional endogenous gridpoint method: Solving triangular dynamic stochastic optimization problems without root-finding operations

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  • Iskhakov, Fedor

Abstract

This paper defines the class of triangular dynamic stochastic optimization problems with multiple continuous choices which can be solved by the multidimensional generalization of the method of endogenous gridpoints without costly root-finding operations. The typical member of this class is a model of multiple asset dynamics, with potential applications in wealth, health and human capital accumulation, portfolio problems, multisector growth models, etc.

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  • 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.
    • Handle: RePEc:eee:ecolet:v:135:y:2015:i:c:p:72-76
    DOI: 10.1016/j.econlet.2015.07.033
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    1. 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.
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    7. 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.
    8. Barillas, Francisco & Fernandez-Villaverde, Jesus, 2007. "A generalization of the endogenous grid method," Journal of Economic Dynamics and Control, Elsevier, vol. 31(8), pages 2698-2712, August.
    9. Ken-ichi Inada, 1963. "On a Two-Sector Model of Economic Growth: Comments and a Generalization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 30(2), pages 119-127.
    10. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, December.
    11. 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.
    12. Jørgensen, Thomas H., 2013. "Structural estimation of continuous choice models: Evaluating the EGM and MPEC," Economics Letters, Elsevier, vol. 119(3), pages 287-290.
    13. 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.
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    Cited by:

    1. 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.
    2. Iskhakov, Fedor & Keane, Michael, 2021. "Effects of taxes and safety net pensions on life-cycle labor supply, savings and human capital: The case of Australia," Journal of Econometrics, Elsevier, vol. 223(2), pages 401-432.
    3. 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.
    4. Karsten O. Chipeniuk, 2020. "Optimal Grid Selection for the Numerical Solution of Dynamic Stochastic Optimization Problems," Computational Economics, Springer;Society for Computational Economics, vol. 56(4), pages 883-928, December.
    5. 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.
    6. Takeshi Fukasawa, 2024. "Computationally Efficient Methods for Solving Discrete-time Dynamic models with Continuous Actions," Papers 2407.04227, arXiv.org, revised Feb 2025.
    7. Huang, Tiancheng & Khemka, Gaurav & Chong, Wing Fung, 2024. "Monotonicity of savings function in Endogenous Gridpoint Method with stochastic portfolio returns," Economics Letters, Elsevier, vol. 239(C).

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    More about this item

    Keywords

    Endogenous grid method; Multidimensional continuous choice; Dynamic structural models;
    All these keywords.

    JEL classification:

    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • D90 - Microeconomics - - Micro-Based Behavioral Economics - - - General

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