Nonlinear Dynamical Model of Small Group Decision Making


    We present a quantitative model of small group decision making by foreign policy elites in which group member positions or opinions with respect to a given policy issue evolve in response to the influence of other group members, external events, and incoming information. The form of the model is guided by social psychology theories on attitude change and information processing and cognitively-based approaches to foreign policy decision making. The model dynamics are implemented via a set of coupled nonlinear differential equations for the state vector of member opinions. The nonlinear nature of the model enables it to capture intuitively reasonable group dynamics inaccessible to linear models such as the sudden emergence of consensus or major schisms due to relatively small changes in member opinions or group cohesion, and the dependence of the outcome upon the sequence of external events impacting the decision-making process. We address the stability of equilibrium solutions corresponding to consensus or disagreement with respect to incoming information using stochastic differential equations, and we show how the use of bifurcation theory facilitates analytical insight into the group dynamics. Computational simulations of the model display a range of phenomena central to foreign policy decision making in the small group context, such as groupthink, factionalism, and group-induced polarization shifts, as well as open and balanced deliberations. We show results indicating the regimes in parameter space where one would expect a given mode of group behavior to be predominant.  Methods for empirical implementation of the model are discussed in the context of a case study.


Michael Gabbay
Information Systems Laboratories, Inc.
company website: http://www.islinc.com/
mgabbay@islinc.com