Template-Type: ReDIF-Paper 1.0 Series: Tinbergen Institute Discussion Papers Creation-Date: 2025-10-13 Number: 25-061/II Author-Name: Niko Jaakkola Author-Workplace-Name: University of Bologna Author-Name: Florian Wagener Author-Workplace-Name: University of Amsterdam Title: Monotone optimal trajectories Abstract: We give weak conditions for a continuous time optimal control problem with one-dimensional state space to have monotone optimal trajectories. These conditions include a concavity condition on the Lagrange function. If that condition is changed to strict concavity, then all optimal trajectories are monotone. Classification-JEL: C02, C61 Keywords: infinite horizon optimal control, monotone trajectories File-URL: https://papers.tinbergen.nl/25061.pdf File-Format: application/pdf File-Size: 449.714 bytes Handle: RePEc:tin:wpaper:20250061