Dynamic Competition on Networks: Differential Variational Inequalities, Limited Warfare and Internet Vulnerability

Abstract

In this paper we are concerned with a class of mathematical problems that arise when modelling dynamic competition among conflicting agents that may or may not reach an equilibrium. We call this class of problems differential variational inequalities. We are further interested in the application of models belonging to this class of problems to the study of (1) policy constrained, limited warfareand (2) Internet vulnerability.