Hierarchical dynamics for power and control in society*

This work was supported by the Ministry of Science and Technology of Slovenia

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

Key words:

• Social power
• social control
• hierarchy
• anarchy
• dynamical systems
• positive matrices

Notes

This work was supported by the Ministry of Science and Technology of Slovenia