Hopenhayn, Hugo A.Prescott, Edward C.2009-12-082009-12-081987-09Hopenhayn, H.A. and Prescott, E.C., (1987), "Invariant Distributions for Monotone Markov Processes", Discussion Paper No. 242, Center for Economic Research, Department of Economics, University of Minnesota.https://hdl.handle.net/11299/55517The existence of fixed points for monotone maps on spaces of measures is established. The case of monotone Markov processes is analyzed and a uniqueness and global stability condition is developed. A comparative statics result is presented and the problem of approximation to the invariant distribution is discussed. The conditions of the theorems are verified for the cases of Optimal Stochastic Growth and Industry Equilibrium.en-USWorking Paper