Stachurski, JohnZhang, Junnan2024-01-110022-0531http://hdl.handle.net/1885/311365This paper extends the core results of discrete time infinite horizon dynamic programming to the case of state-dependent discounting. We obtain a condition on the discount factor process under which all of the standard optimality results can be recovered. We also show that the condition cannot be significantly weakened. Our framework is general enough to handle complications such as recursive preferences and unbounded rewards. Economic and financial applications are discussed.application/pdfen-AU© 2021 Elsevier Inc.Dynamic programmingOptimalityState-dependent discounting202110.1016/j.jet.2021.1051902022-09-25