This article proves that periodic trajectories are generically impossible in a class of continuous-time growth models that allow a locally indeterminate steady state. Those models reducible to the two-dimensional Lotka-Volterra system of equations constitute the class considered here. Knowledge...

This article proves that periodic trajectories are generically impossible in a class of continuous-time growth models that allow a locally indeterminate steady state. Those models reducible to the two-dimensional Lotka-Volterra system of equations constitute the class considered here. Knowledge...

The Marshallian Macroeconomic Model (MMM) developed by Veloce and Zellner (1985} provides a novel way to study sectoral dynamics of an economy in the presence of a dynamic entry/exit equation. Later extended by Zellner and Israilevich (2005} to include interactions between households, production...

Backlash is one of several discontinuities found in different kinds of systems, it can be found in actuators of different types, such as mechanical and hydraulic, giving way to unwanted effects in the system behavior. PI loop shaping control design implementing a describing function to find the...

This article examines the behaviour of a consumer diagnosed with diabetes. It is shown that the medical treatment of the disease creates incentives that make diabetic's consumption and wieght display cyclical patterns. One implication is that labour supply can be cyclical as well.

Unlike linear ones, nonlinear business cycle models can generate sustained fluctuations even in the absence of shocks (e.g., via limit cycles/chaos). A popular approach to solving nonlinear models is perturbation methods. I show that, as typically implemented, these methods are incapable of...

The paper analyzes the relationship between income shares, wealth and growth in an environment where positional goods are taken into account and rent is generated. This hypothesis, which is a macro engine for inequality, creates a gap between profit share and property share and implies a...

The heterogeneity of expectations among traders introduces an important non-linearity into the financial markets. In a series of papers, Brock and Hommes, propose to model economic and financial markets as adaptive belief systems. Asset price fluctuations in adaptive belief systems are...

This paper examines the influence of fashion on wealth accumulation in an economy with two groups of agents. Fashion is modelled as an externality generated by a particular dependence of individual agents' time preference on the two groups' per-capita consumption habits. It is shown that fashion...