# Unbounded Markov Dynamic Programming with Weighted Supremum Norm Perov Contractions

Published in *Economic Theory Bulletin*, 2024

I learned the weighted supremum norm approach for solving unbounded dynamic programming problems when working on Ma et al. (2022). In the summer of 2023, when I was preparing for math camp and working on my textbook, I found that we can solve a larger class of unbounded dynamic programming problems by combining the weighted supremum norm approach and the Perov contraction theorem, so I wrote a paper. The spectral condition given in this paper is sufficient for the existence and uniqueness of a solution, and in some cases, almost necessary.