Optimal Policies with Heterogeneous Agents: Truncation and Transitions
45 Pages Posted: 27 Feb 2023 Publication Status: Published
Abstract
We compare methods to solve for optimal policies in heterogeneous agent-models with and without aggregate shocks, considering the optimal provision of a public good in a heterogeneous-agent economy. We first use a method based on transitions that we modify to neutralize the effect of the initial distribution. Second, we consider a truncation method combining a Lagrangian approach and an improved truncation procedure that takes advantage of the restrictions imposed by the first-order conditions of the Ramsey problem. The truncation method provides quantitatively accurate estimates of the value of the planner’s instruments, whereas a time-inconsistency issue affects the transition method. We also report a number of quantitative checks, both in time-0 and timeless perspectives, and both with and without aggregate risk.
Keywords: heterogeneous agents, optimal Ramsey program, transition method, truncation method, aggregate shock
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