We offer a new proof of the maximum principle, by using the envelope theorem that is frequently used in the standard microeconomic theory. Copyright Springer-Verlag Berlin Heidelberg 2003

Based on some elementary results on duality, the paper proposes a much simpler way of deriving the class of non-homothetic CES production functions which was derived as a solution to a partial differential equation that defines the elasticity of substitution.

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...

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...

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...