Optimal incentives to mitigate epidemics: a Stackelberg mean field game approach

Understand

Motivated by models of epidemic control in large populations, we consider a Stackelberg mean field game model between a principal and a mean field of agents evolving on a finite state space.

• The agents play a non-cooperative game in which they can control their transition rates between states to minimize an individual cost.
• The principal can influence the resulting Nash equilibrium through incentives so as to optimize its own objective.
• We analyze this game using a probabilistic approach.