Differential Games lie at the intersection of Optimal Control and Game Theory. Similar to Game Theory, one is typically interested in finding Nash Equilibria, i.e. optimal strategies for each of the players involved. Finding such solutions are of significant interest to many fields in science.
Despite the significant advantages of knowing a Nash Equilibria, finding one is notoriously difficult, especially for Differential Game problems. Traditional techniques require extraordinary cognition and are computationally expensive.
I am interested in finding a faster numerical approach that will enable people to solve their problems and hopefully expand the frontier of general research.
Solution to the Homicidal Chauffeur Differential Game, Coates 2017