We consider a discrete-time two-sector Cobb-Douglas economy with positive sector specific external effects. We show that indeterminacy of steady states and cycles can easily arise with constant or decreasing social returns to scale, and very small market imperfections. This is in sharp contrast...

This study constructs a class of dynamic models in which optimal paths are generated by nonlinear transition functions similar to a tent map. We provide a sufficient condition under which such a transition function is a chaotic map. This characterization provides a way to construct complex...

This study investigates interlinkage among the business cycles of countries from the viewpoint of endogenous real business cycles. For this purpose, we build a simple perfect foresight equilibrium model with two countries and characterize the global dynamics of a free-trade equilibrium as well...

In the present paper, we consider a two-country, two-good, two-factor general equilibrium model with CIES nonlinear preferences, asymmetric technologies across countries and decreasing returns to scale. It is shown that aggregate instability and endogenous fluctuations may occur due to...

We show that for every discount factor rho epsilon(O,1) one can find infinitely many strictly concave discrete-time optimal growth models in reduced form which have optimal policy functions exhibiting ergodic chaos. These reduced form models are interpreted in a two-sector optimal growth setting...