Please use this identifier to cite or link to this item: https://hdl.handle.net/10419/331489 
Year of Publication: 
2025
Series/Report no.: 
Tinbergen Institute Discussion Paper No. TI 2025-061/II
Publisher: 
Tinbergen Institute, Amsterdam and Rotterdam
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.
Subjects: 
infinite horizon optimal control
monotone trajectories
JEL: 
C02
C61
Document Type: 
Working Paper

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