We examine some uniqueness theorems concerning the attractors (limit cycles) of dynamic planar models of non-linear, endogenous theories of the business cycle. We confine our attention to the pioneering models of Goodwin, Kaldor, Hicks and their variations. For Goodwin’s non-linear...

This paper is an up-to-date survey of the state-of-the-art in dynamical systems theory relevant to high levels of dynamical complexity, characterizing chaos and near chaos, as commonly found in the physical sciences. The paper also surveys applications in economics and finance. This survey does...

A dynamic general equilibrium model with infinitely lived entrepreneurs and financiers is developed to investigate a possible mechanism that explains business cycles and a financial crisis. The highest growth rate is achievable only if financiers coexist with entrepreneurs, given a certain...

This paper is an up-to-date survey of the state-of-the-art in dynamical systems theory relevant to high levels of dynamical complexity, characterizing chaos and near chaos, as commonly found in the physical sciences. The paper also surveys applications in economics and �finance. This survey...

We re-examine the destabilizing role of balanced-budget fiscal policy rules based on consumption taxation. Using a one-sector model with infinitely-lived households, and assuming that preferences are of the Greenwood-Hercovitz-Huffman [8] (GHH) type, we show that non-linear consumption taxation...