Optimal control with heterogeneous agents in continuous time

Arbeitspapier

This paper introduces the problem of a planner who wants to control a population of heterogeneous agents subject to idiosyncratic shocks. The agents differ in their initial states and in the realization of the shocks. In continuous time, the distribution of states across agents is described by a Kolmogorov forward equation. The planner chooses the controls in order to maximize an optimality criterion subject to an .aggregate resource constraint. We demonstrate how the solution should satisfy a system of partial differential equations that includes a generalization of the Hamilton-Jacobi-Bellman equation and the Kolmogorov forward equation.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: ECB Working Paper ; No. 1608

Classification and Topics

• Classification: Wirtschaft
• Subject: calculus of variations ; dynamic programming ; heterogeneous agents ; Kolmogorov forward equation

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Nuño, Galo
• Event: Veröffentlichung
• (who): European Central Bank (ECB)
• (where): Frankfurt a. M.
• (when): 2013

Further information

• Handle: http://hdl.handle.net/10419/154041
• Last update: 10.03.2025, 11:43 AM CET