This paper presents new order-theoretic conditions for global stability of monotone Markov processes with possibly non-compact state spaces. Our main result shows that a Markov process induced by a continuous and increasing transition law is globally stable if it admits a Lyapunovlike function,...

This paper extends a family of well-known stability theorems for monotone economies to a significantly larger class of models. We provide a set of general conditions for existence, uniqueness and stability of stationary distributions when monotonicity holds. The conditions in our main result are...

This paper strengthens the Hopenhayn-Prescott stability theorem for monotone economies by extending it to a significantly larger class of models. We provid general conditions for existence, uniqueness and stability of stationary distributions. The conditions in our main result are both necessary...

This paper studies wealth distribution dynamics in a small open economy with a continuum of consumers indexed by initial wealth. Each of them solves a discrete-choice problem whose optimal policy function exhibits ergodic chaos. We show that for any initial distribu- tion of wealth given by a...

This paper extends a family of well-known stability theorems for monotone economies to a significantly larger class of models. We provide a set of general conditions for existence, uniqueness and stability of stationary distributions when monotonicity holds. The conditions in our main result are...

This paper extends a family of well-known stability theorems for monotone economies to a significantly larger class of models. We provide a set of general conditions for existence, uniqueness and stability of stationary distributions when monotonicity holds. The conditions in our main result are...

This paper extends a family of well-known stability theorems for monotone economies to a significantly larger class of models. We provide a set of general conditions for existence, uniqueness and stability of stationary distributions when monotonicity holds. The conditions in our main result are...