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A generalized endogenous grid method for non-concave problems

Author

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  • Giulio Fella

    (Queen Mary University of London)

Abstract

This paper extends Carroll's (2006) endogenous grid method and its combination with value function iteration by Barillas and Fernandez-Villaverde (2007) to non-concave problems. The method is illustrated using a non-concave consumer problem in which consumers choose both durable and non-durable consumption. The durable choice is discrete and subject to non-convex adjustment costs. The method yields substantial gains in accuracy and efficiency relative to value function iteration, the standard solution choice for non-concave problems.

Suggested Citation

  • Giulio Fella, 2011. "A generalized endogenous grid method for non-concave problems," 2011 Meeting Papers 1232, Society for Economic Dynamics.
    • Handle: RePEc:red:sed011:1232
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    References listed on IDEAS

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    1. Tauchen, George, 1986. "Finite state markov-chain approximations to univariate and vector autoregressions," Economics Letters, Elsevier, vol. 20(2), pages 177-181.
    2. Giulio Fella & Giovanni Gallipoli, 2014. "Education and Crime over the Life Cycle," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 81(4), pages 1484-1517.
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    4. 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.
    5. Storesletten, Kjetil & Telmer, Christopher I. & Yaron, Amir, 2004. "Consumption and risk sharing over the life cycle," Journal of Monetary Economics, Elsevier, vol. 51(3), pages 609-633, April.
    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. John P. Rust, 1989. "A Dynamic Programming Model of Retirement Behavior," NBER Chapters, in: The Economics of Aging, pages 359-404, National Bureau of Economic Research, Inc.
    8. 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.
    9. 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.
    10. Patrick Bajari & Phoebe Chan & Dirk Krueger & Daniel Miller, 2013. "A Dynamic Model Of Housing Demand: Estimation And Policy Implications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 54(2), pages 409-442, May.
    11. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
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    Cited by:

    1. repec:spo:wpmain:info:hdl:2441/n1d9kd7k48keoo4brb07foqbd is not listed on IDEAS
    2. repec:hal:spmain:info:hdl:2441/n1d9kd7k48keoo4brb07foqbd is not listed on IDEAS
    3. 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.
    4. Florian Oswald, 2015. "Regional Shocks, Migration and Homeownership," 2015 Meeting Papers 759, Society for Economic Dynamics.
    5. John Rust & Bertel Schjerning & Fedor Iskhakov, 2012. "A generalized endogenous grid method for discrete-continuous choice," 2012 Meeting Papers 1162, Society for Economic Dynamics.
    6. Matthew N. White, 2014. "Endogenous Gridpoints in Multiple Dimensions: Interpolation on Non-Linear Grids," Working Papers 14-17, University of Delaware, Department of Economics.
    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.

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    JEL classification:

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

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