Codimension-two border collision bifurcation in a two-class growth model with optimal saving and switch in behavior

Nonlinear Dynamics - We consider a two-class growth model with optimal saving and switch in behavior. The dynamics of this model is described by a two-dimensional (2D) discontinuous map. We obtain...     

Chaotic Footloose Capital

This paper examines the long-term behavior of a discrete-time Footloose Capital model, where capitalists, who are themselves immobile between regions, move their physical capital between regions in response to economic incentives. The spatial location of industry can exhibit cycles of any periodicity or behave chaotically. Long-term behavior is highly sensitive to transport costs and to the responsiveness of capitalists to profit differentials. The concentration of industry in one region can result from high transport costs or from rapid responses by capitalists. In terms of possible dynamical behaviors, the discrete-time model is much richer than the standard continuous-time Footloose Capital model.