paths to stability cannot always be guaranteed. We identify a necessary and sufficient condition for an assignment problem … paths to stability and show how to construct such a path whenever this is possible. …

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 both necessary and sufficient for global stability of monotone economies …

seemingly weaker notions of stability follows directly from the optimality conditions, in particular the absence of improvement … trading networks, and testing (chain) stability. …