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Optimal Policies with Heterogeneous Agents: Truncation and Transitions

Author

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  • Xavier Ragot

    (Sciences Po - Sciences Po)

  • François Legrand

    (ESC [Rennes] - ESC Rennes School of Business)

Abstract

We compare two approaches in their ability to solve for optimal Ramsey policies in heterogeneous-agent models, considering the optimal provision of a public good. First, the "transition" approach makes the problem tractable by assuming a constant path for the planner's instruments. Second, the "truncation" approach uses a Lagrangian technique, solving the Ramsey problem of a finite state space model that approximates the full model. The truncation approach is shown to compute quantitatively accurate estimates of the actual values of the planner's instruments, whereas a time-inconsistency issue is found to affect the transition approach.

Suggested Citation

  • Xavier Ragot & François Legrand, 2023. "Optimal Policies with Heterogeneous Agents: Truncation and Transitions," SciencePo Working papers Main hal-04384031, HAL.
  • Handle: RePEc:hal:spmain:hal-04384031
    DOI: 10.1016/j.jedc.2023.104737
    Note: View the original document on HAL open archive server: https://hal.science/hal-04384031
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    Keywords

    Heterogeneous agents optimal Ramsey program transition approach truncation approach aggregate shock D31 D52 E21; Heterogeneous agents; optimal Ramsey program; transition approach; truncation approach; aggregate shock D31; D52; E21;
    All these keywords.

    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth
    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D52 - Microeconomics - - General Equilibrium and Disequilibrium - - - Incomplete Markets
    • E21 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Consumption; Saving; Wealth

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