HIERARCHICAL DYNAMICS FOR POWER AND CONTROL IN SOCIETY

This paper extends a recently proposed model of dynamical interactions between the macro structures of a society to hierarchically ordered s ocieties. The so extended model helps interpreting some social and pol itical phenomena such as coalitions, their hierarchical level and the degree of anarchy on a certain hierarchical level. The surprising prop erty of the underlined model that stability is certain in the constant parameter case strikingly extends to this model. One of the main resu lts of the paper is that the system has a unique equilibrium exactly w hen there is no anarchy on the highest hierarchical level. These resul ts apply to a study of changes in the equilibria as determined by the changes in the system parameters.