The Stability Conditions of the Dyadic System

Abstract

Since Action Analysis perspective has been adopted in sociology, the Dyad had been considered the basic analytical unit of the social system. Today, it is a widely-known fact that sociologist try to apply the dyadic concepts and frame of reference to the analysis of the total social system. In this paper, too, I focus my analysis on the stability conditions of the dyadic system with implication for the analysis of the total social system.
Several sociologists have repeatedly pointed out that the inquiry of the stability conditions is indispensable for any adequate analysis of the social system. Nevertheless, genuine work for the solution of this problem has yet to be done. This paper has been written with this very realization.
In order to proceed with this work, we must first make a clear and accurate model about dyadic system by specifying several assumptions and then draw out the stability conditions deductively. Through the reinterpretation of basic concepts in Homans' “Elementary Social Behavior”, a very significant contribution to the synthesis of economic behavior and operant behavior, I have attempted to formulate the dyadic model mathematically. Furthermore, the stability conditions of the dyadic model is considered with the assistance of the analytical tools of stability analysis, which has been developped in the Modern Systems Tneory, and these conditions are later discussed sociologically.