A Simple Mathematical Approach to Human Society

Abstract

A model is proposed for the treatment of human society as a system of highly interconnected units whose behavior is described by a system of coupled differential equations. The stable solutions of this system represent stable formations in society. The concepts of ''social energy'' and ''social temperature'' are introduced for the description of these stable formations as energy minima. Changes in society are explained as redistributions of the connections between the units. Some simple relationships between political parties are analyzed as examples. The model can be used at different levels, and it can provide help both for the analysis of past political events and for the development of future political strategies.