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An Endogenous Gridpoint Method for Distributional Dynamics

Author

Listed:
  • Bayer, Christian
  • Luetticke, Ralph
  • Weiß, Maximilian
  • Winkelmann, Yannik

Abstract

Modeling continuous choices in heterogeneous agent models as "lotteries" over a discretized state space is standard practice (Young, 2010), but renders the distributional dynamics linear in optimal policies. We present a novel, simple method that captures nonlinearities and solves the distributional dynamics with interpolation instead of integration using the idea of an endogenous grid. Our approach solves for a stationary equilibrium as quickly as the lottery method for a given precision, outperforms it for linear dynamics, and accommodates nonlinear dynamics and aggregate risk. We demonstrate its efficacy by studying a model with aggregate investment risk with a third-order perturbation solution.

Suggested Citation

  • Bayer, Christian & Luetticke, Ralph & Weiß, Maximilian & Winkelmann, Yannik, 2024. "An Endogenous Gridpoint Method for Distributional Dynamics," CEPR Discussion Papers 19067, C.E.P.R. Discussion Papers.
    • Handle: RePEc:cpr:ceprdp:19067
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    Cited by:

    1. is not listed on IDEAS
    2. Hanno Kase & Matthias Rottner & Fabio Stohler, 2025. "Generative economic modeling," BIS Working Papers 1312, Bank for International Settlements.
    3. Weiß, Maximilian & Dietrich, Alexander M. & Müller, Gernot J., 2025. "Disaster Risk and Wealth Inequality," VfS Annual Conference 2025 (Cologne): Revival of Industrial Policy 325455, Verein für Socialpolitik / German Economic Association.
    4. Kase, Hanno & Melosi, Leonardo & Rottner, Matthias, 2022. "Estimating Nonlinear Heterogeneous Agents Models with Neural Networks," CEPR Discussion Papers 17391, C.E.P.R. Discussion Papers.

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    JEL classification:

    • C46 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Specific Distributions
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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