ABSTRACT

In this chapter, the authors use the term “lawyer” in a generic way to mean any person whose livelihood depends primarily on the legal profession. They propose a somewhat abstract and stylized model for the dynamic behavior of the subpopulation of lawyers. The authors seek to capture those factors which determine the number of actual lawyers in a society with a small number of functions which are assumed given and characteristic of the society in question, much like a spring constant is characteristic of a particular spring. They analyze the model with elementary methods, primarily involving linearizing about equilibria. The authors discuss existence of equilibria in the triangular region T. There are two equilibria on the boundary; they are (0,0) and (0,k). The authors wish to analyze the qualitative behavior of solution trajectories in the invariant region T.