Our purpose is to develop and analyze a model for the dynamics of political power and control in a social system. The significant feature of social systems is that they are neither purely competitive nor cooperative but some of each. Therefore this model must exhibit both qualities and balance them. It must also permit socio-political phenomena such as coalitions, alliances, anarchy, and revolutions and apply rather generally to various types of political systems. Using generalized logistical models we are able to encompass all these requirements for the case when the system is closed; that is, when all forces are internal to the system. The models developed also apply to shared market economies. Motivation for the model. One of the major historical difficulties in describing the notions of power and control is the inherent difficulty in describing the nature of the human being from this perspective. Interpersonal relations are impossibly complex. There are few if any general rules
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