Ergodic Invariant Distributions for Non-optimal Dynamic Economics

In this paper we are concerned with the simulation of non-optimal dynamic economies. The equilibrium laws of motion of these economies cannot be characterized by the methods of dynamic programming and may not be described by continuous policy functions. We prove existence of an invariant distribution for the equilibrium law of motion, and establish some convergence and accuracy properties for the simulated moments. We obtain these results without resorting to artificial randomizations of the equilibrium correspondence or discretizations of the state space.