Abstract. The problem of mathematical modeling of the “splashing out” effect is considered. The existence of this phenomenon was observed some time ago by specialists (practitioners) who were forced to make management decisions affecting the dynamics of banking and economic systems. The influence of this effect as one of important new phenomena must be taken into account in decision support systems of new generation. Mathematical definitions of the coefficient of globalization of the world banking system is formulated.

Keywords: mathematical modeling, management of banking and economic systems, decision support systems, artificial intelligence.