Differential games are a group of problems related to the modeling and analysis of conflicts in the context of a dynamical system. The problem usually consists of two actors, a pursuer and an evader, with conflicting goals. The dynamics of the pursuer and the evader are modeled by systems of differential equations.
In this talk, first of all, we will introduce what the differential game is and its value. Second, we will give some simple examples to illustrate how we can make an appropriate decision under this game.