10. Dynamic Stability

This chapter delves into the concept of dynamic stability in economic models, with a particular focus on phase diagrams. It begins by explaining the basics of phase diagrams and their relevance in dynamic economic models, especially in macroeconomics and natural resource economics. The chapter then guides readers through the process of constructing a phase diagram for a two-equation system of differential equations, using a renewable natural resource example to illustrate the steps involved. It also explores the general methods for assessing the stability of a dynamical system, providing insights into the factors that influence system behavior. The chapter concludes by discussing the implications of dynamic stability and phase diagrams for economic decision-making and policy formulation. By the end of the chapter, readers will have a solid understanding of how to construct and interpret phase diagrams, as well as the role they play in assessing the stability of dynamic systems.