Dynamic vaccination games and hybrid dynamical systems

This paper relates variational inequalities and hybrid dynamical systems to describe the evolution of a class of noncooperative games. To describe such evolution, we define a hybrid system based on a continuous dynamics described by a projected system, and on a finite set of exogenous event times. This hybrid system is then used to track evolution strategies. We apply our results to the evolution of population groups’ strategies playing a noncooperative vaccinating game over a finite time interval.