On the Exponential Stability of Samuelson Model on Some Classes of Times Scales

We prove the remarkable property that the exponential stability of the Samuelson model is invariant under the times scales R and hZ whenever 0<h≤1. We characterize the domains of stability for these time scales and we also give sufficient conditions for stability on a class of mixed times scale. We prove analogous results for the Samuelson model in an open economy. Our methods are based on a spectral characterization of exponential stability due to Potzsche, Siegmund and Wirth and a multiplier accelerator model on time scales due to Bohner, Gelles and Heim. © 2017 Elsevier B.V.