This paper surveys recent advances in the application of random dy- namical systems theory in economics. It illustrates the usefulness of this framework for modeling and analysis of economic phenomena with stochastic components, mainly focusing on stochastic dynamic models in economic growth....

This paper contributes to the understanding of stochastic economic dynamics with S-shaped law of motion. Applying random dynamical systems theory, we obtain a complete analysis of a stochastic OLG growth model. In the long-run the economy converges either to a state with no capital (poverty...

This paper presents a complete analysis of a stochastic version of the Solow growth model in which all parameters are ergodic random variables. Applying random dynamical systems theory, we prove that the dynamics and, in particular, the long-run behavior is uniquely determined by a globally...

In this paper, we study the effect of financial markets on the investment of a two-good two-country economy with stochastic production in a dynamic framework. Each country produces and invests only one good and, therefore, makes decisions as a central planner in an optimal growth model. Trade...

This paper analyzes economic fluctuations in an overlapping generations economy with productive capital in which random shocks in aggregate productivity are present. Under specific assumptions we obtain an explicit solution of the model. Applying random dynamical systems theory, we can prove...

This paper analyzes the dependence of average consumption on the saving rate in a one-sector neoclassical Solow growth model with pro-duction shocks and stochastic rates of population growth and depreciation where arbitrary ergodic processes are considered. We show that the long-run behavior of...