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The endogenous grid method for discrete‐continuous dynamic choice models with (or without) taste shocks

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  • Fedor Iskhakov
  • Thomas H. Jørgensen
  • John Rust
  • Bertel Schjerning

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 grid‐point 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‐specific independent and identically distributed extreme value taste shocks that are typically interpreted as “unobserved state variables” in structural econometric applications, or serve as “random noise” to smooth out kinks in the value functions in numerical applications. We present Monte Carlo experiments that demonstrate the reliability and efficiency of the DC‐EGM algorithm 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 H. Jørgensen & John Rust & Bertel Schjerning, 2017. "The endogenous grid method for discrete‐continuous dynamic choice models with (or without) taste shocks," Quantitative Economics, Econometric Society, vol. 8(2), pages 317-365, July.
    • Handle: RePEc:wly:quante:v:8:y:2017:i:2:p:317-365
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    Cited by:

    1. Hintermaier, Thomas & Koeniger, Winfried, 2018. "Differences in Euro-Area Household Finances and their Relevance for Monetary-Policy Transmission," Economics Working Paper Series 1806, University of St. Gallen, School of Economics and Political Science, revised Nov 2019.
    2. Bruneel-Zupanc, Christophe Alain, 2021. "Discrete-Continuous Dynamic Choice Models: Identification and Conditional Choice Probability Estimation," TSE Working Papers 21-1185, Toulouse School of Economics (TSE).
    3. Agnes Kovacs & Hamish Low & Patrick Moran, 2021. "Estimating Temptation And Commitment Over The Life Cycle," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 62(1), pages 101-139, February.
    4. Busch, Christopher & Krueger, Dirk & Ludwig, Alexander & Popova, Irina & Iftikhar, Zainab, 2020. "Should Germany have built a new wall? Macroeconomic lessons from the 2015-18 refugee wave," Journal of Monetary Economics, Elsevier, vol. 113(C), pages 28-55.
    5. Dennis Kristensen & Patrick K. Mogensen & Jong-Myun Moon & Bertel Schjerning, 2019. "Solving dynamic discrete choice models using smoothing and sieve methods," CeMMAP working papers CWP15/19, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
    6. Axel Anderson & Jeremy Rosen & John Rust & Kin-Ping Wong, 2021. "Disequilibrium Play in Tennis," Working Papers gueconwpa~21-21-07, Georgetown University, Department of Economics.
    7. Jang, Youngsoo & Lee, Soyoung, 2019. "A Generalized Endogenous Grid Method for Models with the Option to Default," MPRA Paper 95721, University Library of Munich, Germany.
    8. Maiko Koga & Kohei Matsumura, "undated". "Marginal Propensity to Consume and the Housing Choice," Bank of Japan Working Paper Series 20-E-3, Bank of Japan.
    9. Gaillard, Alexandre & Kankanamge, Sumudu, 2021. "Entrepreneurship and Labor Market Mobility: the Role of Unemployment Insurance," TSE Working Papers 21-1187, Toulouse School of Economics (TSE).
    10. Alexander Ludwig & Jochen Mankart & Jorge Quintana & Mirko Wiederholt & Nathanael Vellekoop, 2019. "House Price Expectations and Housing Choice," 2019 Meeting Papers 848, Society for Economic Dynamics.
    11. Youngsoo Jang & Soyoung Lee, 2021. "A Generalized Endogenous Grid Method for Default Risk Models," Staff Working Papers 21-11, Bank of Canada.
    12. Claudio Daminato & Mario Padula, 2020. "The Life-Cycle Effects of Pension Reforms: A Structural Approach," CSEF Working Papers 585, Centre for Studies in Economics and Finance (CSEF), University of Naples, Italy.
    13. Kankanamge, Sumudu & Gaillard, Alexandre, 2020. "Buying and Selling Entrepreneurial Assets," TSE Working Papers 20-1078, Toulouse School of Economics (TSE).
    14. Beatriz González, 2020. "Macroeconomics, firm dynamics and IPOs," Working Papers 2030, Banco de España.
    15. Martínez, Tomás R. & Fuster, Luisa & Erosa, Andrés, 2021. "Public financing with financial frictions and underground economy," UC3M Working papers. Economics 32495, Universidad Carlos III de Madrid. Departamento de Economía.
    16. Grey Gordon, 2019. "Efficient Computation with Taste Shocks," Working Paper 19-15, Federal Reserve Bank of Richmond.

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